From a8b507facbbbd48783488c8a213278705430f24e Mon Sep 17 00:00:00 2001 From: kss2k Date: Tue, 29 Jul 2025 17:55:21 +0200 Subject: [PATCH 01/51] Testing for implementing a Markow-Chain Monte-Carlo estimator --- R/construct_matrices_da.R | 9 +- test_bayesian.R | 418 +++++++++++++++++++++++++++++++++++ test_bayesian_full.R | 447 ++++++++++++++++++++++++++++++++++++++ 3 files changed, 872 insertions(+), 2 deletions(-) create mode 100644 test_bayesian.R create mode 100644 test_bayesian_full.R diff --git a/R/construct_matrices_da.R b/R/construct_matrices_da.R index d0ac3bad..9f3d5aaa 100644 --- a/R/construct_matrices_da.R +++ b/R/construct_matrices_da.R @@ -175,9 +175,14 @@ constructTheta <- function(lVs, indsLVs, parTable, auto.fix.single = TRUE) { } -constructGamma <- function(DVs, IVs, parTable) { +constructGamma <- function(DVs, IVs, parTable, ignore.xz = TRUE) { if (!length(DVs)) return(EMPTY_MATSTRUCT) - exprsGamma <- parTable[parTable$op == "~" & !grepl(":", parTable$rhs), ] + + cond <- parTable$op == "~" + if (!ignore.xz) + cond <- cond & !grepl(":", parTable$rhs) + + exprsGamma <- parTable[, ] numDVs <- length(DVs) numIVs <- length(IVs) gamma <- matrix(0, nrow = numDVs, ncol = numIVs, dimnames = list(DVs, IVs)) diff --git a/test_bayesian.R b/test_bayesian.R new file mode 100644 index 00000000..16e230ff --- /dev/null +++ b/test_bayesian.R @@ -0,0 +1,418 @@ +stan.syntax <- ' +// sem_latent_interaction.stan (updated) +// SEM with three latent factors (X, Z, Y) and latent interaction X×Z → Y +// Identification: first loading fixed to 1; *latent means constrained to 0*. +// All nine indicator intercepts τ are now free. + +functions { + // empirical covariance helper (for generated quantities) + real cov_vector(vector a, vector b) { + return (dot_self(a - mean(a)))/(num_elements(a)-1); + } +} + +data { + int N; // sample size + matrix[N, 9] Y; // observed indicators (x1–x3, z1–z3, y1–y3) +} + +parameters { + //-------------------------------------- + // Measurement part + //-------------------------------------- + vector[2] lambda_x; // loadings: x2, x3 + vector[2] lambda_z; // loadings: z2, z3 + vector[2] lambda_y; // loadings: y2, y3 + + vector[9] tau; // ALL indicator intercepts free + vector[9] sigma_e; // residual SDs + + //-------------------------------------- + // Latent part + //-------------------------------------- + real sigma_X; + real sigma_Z; + real sigma_Y; + + real beta_X; // structural slopes + real beta_Z; + real beta_XZ; + + vector[N] X; // person‑level latent scores + vector[N] Z; + vector[N] Y_lat; // endogenous latent Y +} + +transformed parameters { + vector[N] XZ = X .* Z; // latent interaction term +} + +model { + //-------------------------------------- + // Priors + //-------------------------------------- + // lambda_x ~ normal(1, 1); + // lambda_z ~ normal(1, 1); + // lambda_y ~ normal(1, 1); + + // tau ~ normal(0, 2); + + // sigma_X ~ exponential(1); + // sigma_Z ~ exponential(1); + // sigma_Y ~ exponential(1); + // sigma_e ~ exponential(1); + + // beta_X ~ normal(0, 1); + // beta_Z ~ normal(0, 1); + // beta_XZ ~ normal(0, 1); + + //-------------------------------------- + // Latent variable distributions (means fixed to 0) + //-------------------------------------- + X ~ normal(0, sigma_X); + Z ~ normal(0, sigma_Z); + Y_lat ~ normal(beta_X * X + beta_Z * Z + beta_XZ * XZ, sigma_Y); + + //-------------------------------------- + // Measurement model + //-------------------------------------- + for (n in 1:N) { + // X indicators + Y[n,1] ~ normal(tau[1] + X[n], sigma_e[1]); // x1 (λ fixed = 1) + Y[n,2] ~ normal(tau[2] + lambda_x[1] * X[n], sigma_e[2]); // x2 + Y[n,3] ~ normal(tau[3] + lambda_x[2] * X[n], sigma_e[3]); // x3 + + // Z indicators + Y[n,4] ~ normal(tau[4] + Z[n], sigma_e[4]); // z1 (λ fixed = 1) + Y[n,5] ~ normal(tau[5] + lambda_z[1] * Z[n], sigma_e[5]); // z2 + Y[n,6] ~ normal(tau[6] + lambda_z[2] * Z[n], sigma_e[6]); // z3 + + // Y indicators + Y[n,7] ~ normal(tau[7] + Y_lat[n], sigma_e[7]); // y1 (λ fixed = 1) + Y[n,8] ~ normal(tau[8] + lambda_y[1] * Y_lat[n], sigma_e[8]); // y2 + Y[n,9] ~ normal(tau[9] + lambda_y[2] * Y_lat[n], sigma_e[9]); // y3 + } +} + +generated quantities { + real corr_XZ = cov_vector(X, Z) / (sd(X) * sd(Z)); + real corr_XY = cov_vector(X, Y_lat) / (sd(X) * sd(Y_lat)); + real corr_ZY = cov_vector(Z, Y_lat) / (sd(Z) * sd(Y_lat)); +} +' + +devtools::load_all() +library(rstan) +rstan_options(auto_write = TRUE) # cache compiled models +options(mc.cores = parallel::detectCores()) + +model <- rstan::stan_model(model_code = stan.syntax) +Y <- oneInt[c("x1", "x2", "x3", + "z1", "z2", "z3", + "y1", "y2", "y3")] +stan_data <- list( + N = nrow(Y), + Y = Y +) + +fit <- sampling( + object = model, + data = stan_data, + chains = 2, + iter = 2000, + warmup = 1000 +) + +summary(fit, c("beta_X", "beta_Z", "beta_XZ")) +stan_rhat(fit) +stan_trace(fit, "beta_X") +stan_trace(fit, "beta_XZ") +stan_trace(fit, "beta_Z") + + +stan.syntax <- " +// sem_latent_interaction.stan (updated) +// SEM with three latent factors (X, Z, Y) and latent interaction X×Z → Y +// Identification: first loading fixed to 1; *latent means constrained to 0*. +// All nine indicator intercepts τ are now free. + +functions { + vector getIthProduct(int i, int K, int N, N_INT, matrix OMEGA, matrix ETA) { + + vector[N] product; + product[:] = 1; // fill with ones + + for (j in 1:N_INT) { + if (OMEGA[i, j]) { + product = product .* ETA[:, i]; + } + } + + return product; + } +} + + +data { + int N; // Sample size + int K; // Number of indicators + int N_XIS; // Number of xis + int N_ETAS; // Number of etas + int N_LVS; // Number of lVs + int N_INT; // Number of interaction terms + + matrix[K, N_LVS] LAMBDA; // Structure of measurement model + matrix[N_ETAS, N_LVS + N_INT] GAMMA; // Structure of structural model + matrix[N_ETAS, N_INT] OMEGA; // Structure of interaction-coefficients + matrix[N_INT, N_LVS] PRODUCTS; // Structure of interaction terms + + matrix[N_LVS, N_LVS] PSI; // Structure of latent covariances + matrix[K, K] THETA; // Structure of indicator covariances + vector[K] TAU; // Structure of indicator intercepts + vector[N_LVS] ALPHA; // Structure of LV intercepts + + int N_FREE_LAMBDA; // sum(abs(LAMBDA)) + int N_FREE_GAMMA; // sum(abs(GAMMA)) + int N_FREE_OMEGA; + + int N_FREE_DIAG_THETA; // sum(abs(diag(THETA))) + int N_FREE_LOWER_THETA; // sum(abs(THETA[is.lower(THETA)])) + + int N_FREE_DIAG_PSI; // sum(abs(diag(PSI))) + int N_FREE_LOWER_PSI; // sum(abs(GAMMA[is.lower(GAMMA)])) + + int N_FREE_TAU; // sum(abs(TAU)) + int N_FREE_ALPHA; // sum(abs(ALPHA)) + + // Observed Data + matrix[N, K] Y; +} + + +parameters { + // Measurement model + vector[N_FREE_LAMBDA] lambda; + vector[N_FREE_TAU] tau; + vector[N_FREE_DIAG_THETA] theta_d; + vector[N_FREE_LOWER_THETA] theta_l; + + // Structural model + vector[N_FREE_GAMMA] gamma; + vector[N_FREE_ALPHA] ALPHA; + vector[N_FREE_DIAG_PSI] psi_d; + vector[N_FREE_LOWER_PSI] psi_l; + + // LVs + matrix[N, N_LVS] XI; + + // Indicator disturbances + // matrix[N, K] EPSILON; +} + +transformed_parameters { + // Fill matrices + matrix[K, N_LVS] Lambda; // Structure of measurement model + matrix[N_ETAS, N_LVS + N_INT] Gamma; // Structure of structural model + + matrix[N_LVS, N_LVS] Psi; // Structure of latent covariances + matrix[K, K] Theta; // Structure of indicator covariances + vector[K] Tau; // Structure of indicator intercepts + vector[N_LVS] Alpha; // Structure of LV intercepts + + // Fill Lambda + int k = 1; + for (i in 1:K) { + int filledFirst = 0; + + for (j in 1:N_LVS) { + int fill = LAMBDA[i, j]; + + if (fill && !filledFirst) { + Lambda[i, j] = 1; + } else if (fill) { + Lambda[i, j] = lambda[k]; + k = k + 1; + } + } + } + + // Fill Gamma + k = 1; + for (i in 1:N_ETAS) { + for (j in 1:N_LVS) { + int fill = GAMMA[i, j]; + + if (fill) { + Gamma[i, j] = gamma[k]; + k = k + 1; + } + } + } + + // Fill OMEGA + k = 1; + for (i in 1:N_ETAS) { + for (j in 1:N_INT) { + int fill = OMEGA[i, j]; + + if (fill) { + Omega[i, j] = omega[k]; + k = k + 1; + } + } + } + + // Fill Diagonal Theta + k = 1; + for (i in 1:K) { + int fill = THETA[i, i]; + + if (fill) { + Theta[i, i] = theta_d[k]; + k = k + 1; + } + } + + // Fill Off-Diagonal Theta + k = 1; + for (i in 1:K) { + + for (j in 1:i) { + if (j >= i) { + continue; + } + + int fill = THETA[i, j]; + + if (fill) { + Theta[i, j] = theta_l[k]; + Theta[j, i] = theta_l[k]; + k = k + 1; + } + } + + // Fill Diagonal Psi + k = 1; + for (i in 1:N_LVS) { + int fill = PSI[i, i]; + + if (fill) { + Psi[i, i] = psi_d[k]; + k = k + 1; + } + } + + // Fill Off-Diagonal Theta + k = 1; + for (i in 1:N_LVS) { + + for (j in 1:i) { + if (j >= i) { + continue; + } + + int fill = PSI[i, j]; + + if (fill) { + Psi[i, j] = psi_l[k]; + Psi[j, i] = psi_l[k]; + k = k + 1; + } + } + + // Fill Alpha + k = 1; + for (i in 1:N_LVS) { + int fill = ALPHA[i]; + if (fill) { + Alpha[i] = alpha[k]; + k = k + 1; + } + } + + // Fill Tau + k = 1; + for (i in 1:K) { + int fill = TAU[i]; + if (fill) { + Tau[i] = tau[k]; + k = k + 1; + } + } + + // Calculate LV values + matrix[N, N_LVS + N_INT] ETA; + + for (i in 1:N_LVS) { + ETA[, i] = XI[, i]; // For xis the actual values are filled + // For etas we start with the disturbances + } + + for (i in 1:N_ETAS) { + for (j in 1:N_LVS) { + if (GAMMA[i, j]) { + ETA[, i] = ETA[, i] + GAMMA[i, j] * ETA[, j]; + } + } + + for (j in 1:N_INT) { + if (OMEGA[i, j]) { + ETA[, i] = + ETA[, i] + OMEGA[i, j] * getIthProduct(j, K, N, N_INT, OMEGA, ETA); + } + } + } + + // Calculate Expected Indicator values + matrix[N, K] X = ETA * Lambda'; + for (i in 1:K) { + X[, i] = Tau[i] + X[, i]; + } +} + + +model { + // Priors + // No priors (yet) + + // Latent variable distributions + row_vector[N_LVS] alpha_row = to_row_vector(Alpha); // convert mean + for (n in 1:N) { + to_row_vector(XI[n]) ~ multi_normal(alpha_row, Psi); + } + matrix[N, K] mu = X; // expected scores (built in TP block) + for (n in 1:N) { + to_row_vector(Y[n]) ~ multi_normal(to_row_vector(mu[n]), Theta); + } +} + +" +devtools::load_all() +library(rstan) +rstan_options(auto_write = TRUE) # cache compiled models +options(mc.cores = parallel::detectCores()) + +model <- rstan::stan_model(model_code = stan.syntax) +Y <- oneInt[c("x1", "x2", "x3", + "z1", "z2", "z3", + "y1", "y2", "y3")] +stan_data <- list( + N = nrow(Y), + Y = Y +) + +fit <- sampling( + object = model, + data = stan_data, + chains = 2, + iter = 2000, + warmup = 1000 +) + +summary(fit, c("beta_X", "beta_Z", "beta_XZ")) +stan_rhat(fit) +stan_trace(fit, "beta_X") +stan_trace(fit, "beta_XZ") +stan_trace(fit, "beta_Z") + + diff --git a/test_bayesian_full.R b/test_bayesian_full.R new file mode 100644 index 00000000..26380080 --- /dev/null +++ b/test_bayesian_full.R @@ -0,0 +1,447 @@ +devtools::load_all() +library(rstan) +rstan_options(auto_write = TRUE) # cache compiled models +options(mc.cores = parallel::detectCores()) + +stan.syntax <- " +// sem_latent_interaction.stan (updated) +// SEM with three latent factors (X, Z, Y) and latent interaction X×Z → Y +// Identification: first loading fixed to 1; *latent means constrained to 0*. +// All nine indicator intercepts τ are now free. + +functions { + vector getIthProduct(int i, int K, int N, int N_INT, matrix OMEGA, matrix ETA) { + + vector[N] product = rep_vector(0, N); + + int firstFound = 0; + for (j in 1:N_INT) { + + if (OMEGA[i, j]) { + + if (!firstFound) { + product = ETA[, i]; + + } else { + product = product .* ETA[, i]; + } + } + } + + return product; + } +} + + +data { + int N; // Sample size + int K; // Number of indicators + int N_XIS; // Number of xis + int N_ETAS; // Number of etas + int N_LVS; // Number of lVs + int N_INT; // Number of interaction terms + + matrix[K, N_LVS] LAMBDA; // Structure of measurement model + matrix[N_ETAS, N_LVS] GAMMA; // Structure of structural model + matrix[N_ETAS, N_INT] OMEGA; // Structure of interaction-coefficients + matrix[N_INT, N_LVS] PRODUCTS; // Structure of interaction terms + + matrix[N_LVS, N_LVS] PSI; // Structure of latent covariances + matrix[K, K] THETA; // Structure of indicator covariances + vector[K] TAU; // Structure of indicator intercepts + vector[N_LVS] ALPHA; // Structure of LV intercepts + + int N_FREE_LAMBDA; // sum(abs(LAMBDA)) + int N_FREE_GAMMA; // sum(abs(GAMMA)) + int N_FREE_OMEGA; + + int N_FREE_DIAG_THETA; // sum(abs(diag(THETA))) + int N_FREE_LOWER_THETA; // sum(abs(THETA[is.lower(THETA)])) + + int N_FREE_DIAG_PSI; // sum(abs(diag(PSI))) + int N_FREE_LOWER_PSI; // sum(abs(GAMMA[is.lower(GAMMA)])) + + int N_FREE_TAU; // sum(abs(TAU)) + int N_FREE_ALPHA; // sum(abs(ALPHA)) + + // Observed Data + matrix[N, K] Y; +} + + +parameters { + // Measurement model + vector[N_FREE_LAMBDA] lambda; + vector[N_FREE_TAU] tau; + vector[N_FREE_DIAG_THETA] theta_d; + vector[N_FREE_LOWER_THETA] theta_l; + + // Structural model + vector[N_FREE_GAMMA] gamma; + vector[N_FREE_ALPHA] alpha; + vector[N_FREE_OMEGA] omega; + vector[N_FREE_DIAG_PSI] psi_d; + vector[N_FREE_LOWER_PSI] psi_l; + + // LVs + matrix[N, N_LVS] XI; + + // Indicator disturbances + // matrix[N, K] EPSILON; +} + + +transformed parameters { + // Declare matrices + matrix[K, N_LVS] Lambda; // Structure of measurement model + matrix[N_ETAS, N_LVS] Gamma; // Structure of structural model + matrix[N_ETAS, N_INT] Omega; + + matrix[N_LVS, N_LVS] Psi; // Structure of latent covariances + matrix[K, K] Theta; // Structure of indicator covariances + vector[K] Tau; // Structure of indicator intercepts + vector[N_LVS] Alpha; // Structure of LV intercepts + + // Fill Matrices + Lambda = rep_matrix(0, K, N_LVS); + Gamma = rep_matrix(0, N_ETAS, N_LVS); + Omega = rep_matrix(0, N_ETAS, N_INT); + Theta = rep_matrix(0, K, K); + Psi = rep_matrix(0, N_LVS, N_LVS); + Tau = rep_vector(0, K); + Alpha = rep_vector(0, N_LVS); + + { + // Fill Lambda + int k = 1; + for (i in 1:K) { + real filledFirst = 0; + + for (j in 1:N_LVS) { + real fill = LAMBDA[i, j]; + + if (fill && !filledFirst) { + Lambda[i, j] = 1; + } else if (fill) { + Lambda[i, j] = lambda[k]; + k = k + 1; + } + } + } + // Fill Gamma + k = 1; + for (i in 1:N_ETAS) { + for (j in 1:N_LVS) { + real fill = GAMMA[i, j]; + + if (fill) { + Gamma[i, j] = gamma[k]; + k = k + 1; + } + } + } + + // Fill OMEGA + k = 1; + for (i in 1:N_ETAS) { + for (j in 1:N_INT) { + real fill = OMEGA[i, j]; + + if (fill) { + Omega[i, j] = omega[k]; + k = k + 1; + } + } + } + + // Fill Diagonal Theta + k = 1; + for (i in 1:K) { + real fill = THETA[i, i]; + + if (fill) { + Theta[i, i] = theta_d[k]; + k = k + 1; + } + } + + // Fill Off-Diagonal Theta + k = 1; + for (i in 1:K) { + + for (j in 1:i) { + if (j >= i) { + continue; + } + + real fill = THETA[i, j]; + + if (fill) { + Theta[i, j] = theta_l[k]; + Theta[j, i] = theta_l[k]; + k = k + 1; + } + } + } + + // Fill Diagonal Psi + k = 1; + for (i in 1:N_LVS) { + real fill = PSI[i, i]; + + if (fill) { + Psi[i, i] = psi_d[k]; + k = k + 1; + } + } + + // Fill Off-Diagonal Theta + k = 1; + for (i in 1:N_LVS) { + + for (j in 1:i) { + if (j >= i) { + continue; + } + + real fill = PSI[i, j]; + + if (fill) { + Psi[i, j] = psi_l[k]; + Psi[j, i] = psi_l[k]; + k = k + 1; + } + } + } + + // Fill Alpha + k = 1; + for (i in 1:N_LVS) { + real fill = ALPHA[i]; + if (fill) { + Alpha[i] = alpha[k]; + k = k + 1; + } + } + + // Fill Tau + k = 1; + for (i in 1:K) { + real fill = TAU[i]; + + if (fill) { + Tau[i] = tau[k]; + k = k + 1; + } + } + } + + // Calculate LV values + matrix[N, N_LVS] ETA; + + for (i in 1:N_LVS) { + ETA[, i] = XI[, i]; // For xis the actual values are filled + // For etas we start with the disturbances + } + + for (i in 1:N_ETAS) { + for (j in 1:N_LVS) { + if (GAMMA[i, j]) { + ETA[, i] = ETA[, i] + GAMMA[i, j] * ETA[, j]; + } + } + + for (j in 1:N_INT) { + if (OMEGA[i, j]) { + ETA[, i] = + ETA[, i] + OMEGA[i, j] * getIthProduct(j, K, N, N_INT, OMEGA, ETA); + } + } + } + + // Calculate Expected Indicator values + matrix[N, K] X = ETA * Lambda'; + for (i in 1:K) { + X[, i] = Tau[i] + X[, i]; + } +} + +model { + // Priors + // No priors (yet) + + // Latent variable distributions + { + row_vector[N_LVS] alpha_row = to_row_vector(Alpha); // convert mean + for (n in 1:N) { + to_row_vector(XI[n]) ~ multi_normal(alpha_row, Psi); + } + } + + { + matrix[N, K] mu = X; // expected scores (built in TP block) + for (n in 1:N) { + to_row_vector(Y[n]) ~ multi_normal(to_row_vector(mu[n]), Theta); + } + } +} + +" + +model.syntax <- ' + X =~ x1 + x2 + x3 + Z =~ z1 + z2 + z3 + Y =~ y1 + y2 + y3 + + Y ~ X + Z + X:Z +' + +# Functions +specifyModelSTAN <- function(syntax = NULL, + data = NULL, + auto.fix.first = TRUE, + auto.fix.single = TRUE, + orthogonal.y = FALSE, + orthogonal.x = FALSE, + mean.observed = TRUE) { + if (!is.null(syntax)) parTable <- modsemify(syntax) + stopif(is.null(parTable), "No parTable found") + + # endogenous variables (etas)model + etas <- getSortedEtas(parTable, isLV = TRUE, checkAny = TRUE) + etas <- etas[length(etas):1] # reverse + numEtas <- length(etas) + + indsEtas <- getIndsLVs(parTable, etas) + numIndsEtas <- vapply(indsEtas, FUN.VALUE = vector("integer", 1L), + FUN = length) + allIndsEtas <- unique(unlist(indsEtas)) + numAllIndsEtas <- length(allIndsEtas) + + # exogenouts variables (xis) and interaction terms + intTerms <- unique(parTable[grepl(":", parTable$rhs), "rhs"]) + numInts <- length(intTerms) + varsInts <- stringr::str_split(intTerms, pattern = ":") + varsInts <- stats::setNames(varsInts, nm = intTerms) + allVarsInInts <- unique(unlist(varsInts)) + + xis <- getXis(parTable, checkAny = TRUE) + numXis <- length(xis) + + indsXis <- getIndsLVs(parTable, xis) + numIndsXis <- vapply(indsXis, FUN.VALUE = vector("integer", 1L), + FUN = length) + allIndsXis <- unique(unlist(indsXis)) + numAllIndsXis <- length(allIndsXis) + + lVs <- c(xis, etas) + numLVs <- length(lVs) + indsLVs <- getIndsLVs(parTable, lVs) + allInds <- c(allIndsXis, allIndsEtas) + numAllInds <- length(allInds) + + # clean data + data <- cleanAndSortData(data, allIndsXis, allIndsEtas, impute.na = impute.na) + + + # measurement model x + listLambda <- constructLambda(lVs, indsLVs, parTable = parTable, + auto.fix.first = auto.fix.first) + LAMBDA <- listLambda$numeric + LAMBDA[is.na(LAMBDA)] <- 1 + + listTau <- constructTau(lVs, indsLVs, parTable = parTable) + TAU <- listTau$numeric + TAU[is.na(TAU)] <- 1 + + listAlpha <- constructAlpha(lVs, parTable = parTable, + mean.observed = mean.observed) + ALPHA <- listAlpha$numeric + ALPHA[is.na(ALPHA)] <- 1 + + listTheta <- constructTheta(lVs, indsLVs, parTable = parTable, + auto.fix.single = auto.fix.single) + THETA <- listTheta$numeric + THETA[is.na(THETA)] <- 1 + + listGamma <- constructGamma(etas, lVs, parTable = parTable) + GAMMA <- listGamma$numeric + GAMMA[is.na(GAMMA)] <- 1 + + listOmega <- constructGamma(etas, intTerms, parTable = parTable) + OMEGA <- listOmega$numeric + OMEGA[is.na(OMEGA)] <- 1 + + listPsi <- constructPsi(etas, parTable = parTable, orthogonal.y = orthogonal.y) + psi <- listPsi$numeric + + listPhi <- constructPhi(xis, method = "qml", cov.syntax = NULL, + parTable = parTable, orthogonal.x = orthogonal.x) + phi <- listPhi$numeric + + PSI <- diagPartitionedMat(phi, psi) + PSI[is.na(PSI)] <- 1 + + PRODUCTS <- matrix(0, nrow = numInts, ncol = numLVs, dimnames = list(intTerms, lVs)) + for (intTerm in intTerms) { + elems <- varsInts[[intTerm]] + + PRODUCTS[intTerm, elems] <- 1 + } + + lowerTri <- \(X) X[lower.tri(X, diag = FALSE)] + + list(N = nrow(data), + K = numAllInds, + N_XIS = numXis, + N_ETAS = numEtas, + N_LVS = numLVs, + N_INT = numInts, + + LAMBDA = LAMBDA, + GAMMA = GAMMA, + OMEGA = OMEGA, + PRODUCTS = PRODUCTS, + + PSI = PSI, + THETA = THETA, + + ALPHA = as.vector(ALPHA), + TAU = as.vector(TAU), + + N_FREE_LAMBDA = sum(is.na(listLambda$numeric)), + N_FREE_GAMMA = sum(GAMMA), + N_FREE_OMEGA = sum(OMEGA), + + N_FREE_DIAG_THETA = sum(diag(THETA)), + N_FREE_LOWER_THETA = sum(lowerTri(THETA)), + + N_FREE_DIAG_PSI = sum(diag(PSI)), + N_FREE_LOWER_PSI = sum(lowerTri(PSI)), + + N_FREE_ALPHA = sum(ALPHA), + N_FREE_TAU = sum(TAU), + + Y = as.matrix(data) + ) +} + + +stan_data <- specifyModelSTAN(model.syntax, data = oneInt) +stan_model <- stan_model(model_code = stan.syntax) + +fit <- sampling( + object = stan_model, + data = stan_data, + chains = 2, + iter = 2000, + warmup = 1000 +) + +summary(fit, c("beta_X", "beta_Z", "beta_XZ")) +stan_rhat(fit) +stan_trace(fit, "beta_X") +stan_trace(fit, "beta_XZ") +stan_trace(fit, "beta_Z") + + From 33e2843b9ef289f3621c9718d68b5c71f91c4a89 Mon Sep 17 00:00:00 2001 From: kss2k Date: Tue, 29 Jul 2025 18:57:34 +0200 Subject: [PATCH 02/51] Looks like it may work, but quite slow --- test_bayesian_full.R | 71 +++++++++++++++++++++++++++++--------------- 1 file changed, 47 insertions(+), 24 deletions(-) diff --git a/test_bayesian_full.R b/test_bayesian_full.R index 26380080..ef77f45e 100644 --- a/test_bayesian_full.R +++ b/test_bayesian_full.R @@ -10,20 +10,21 @@ stan.syntax <- " // All nine indicator intercepts τ are now free. functions { - vector getIthProduct(int i, int K, int N, int N_INT, matrix OMEGA, matrix ETA) { + vector getIthProduct(int i, int N_LVS, int N, matrix PRODUCTS, matrix ETA) { vector[N] product = rep_vector(0, N); int firstFound = 0; - for (j in 1:N_INT) { + for (j in 1:N_LVS) { - if (OMEGA[i, j]) { + if (PRODUCTS[i, j]) { if (!firstFound) { - product = ETA[, i]; + product = ETA[, j]; + firstFound = 1; } else { - product = product .* ETA[, i]; + product = product .* ETA[, j]; } } } @@ -114,14 +115,16 @@ transformed parameters { { // Fill Lambda int k = 1; - for (i in 1:K) { + for (j in 1:N_LVS) { real filledFirst = 0; - for (j in 1:N_LVS) { + for (i in 1:K) { real fill = LAMBDA[i, j]; if (fill && !filledFirst) { Lambda[i, j] = 1; + filledFirst = 1; + } else if (fill) { Lambda[i, j] = lambda[k]; k = k + 1; @@ -169,11 +172,7 @@ transformed parameters { k = 1; for (i in 1:K) { - for (j in 1:i) { - if (j >= i) { - continue; - } - + for (j in 1:(i-1)) { real fill = THETA[i, j]; if (fill) { @@ -195,15 +194,11 @@ transformed parameters { } } - // Fill Off-Diagonal Theta + // Fill Off-Diagonal Psi k = 1; for (i in 1:N_LVS) { - for (j in 1:i) { - if (j >= i) { - continue; - } - + for (j in 1:(i-1)) { real fill = PSI[i, j]; if (fill) { @@ -245,16 +240,18 @@ transformed parameters { } for (i in 1:N_ETAS) { + int idx = N_XIS + i; + for (j in 1:N_LVS) { if (GAMMA[i, j]) { - ETA[, i] = ETA[, i] + GAMMA[i, j] * ETA[, j]; + ETA[, idx] = ETA[, idx] + Gamma[i, j] * ETA[, j]; } } for (j in 1:N_INT) { if (OMEGA[i, j]) { - ETA[, i] = - ETA[, i] + OMEGA[i, j] * getIthProduct(j, K, N, N_INT, OMEGA, ETA); + ETA[, idx] = + ETA[, idx] + Omega[i, j] * getIthProduct(j, N_LVS, N, PRODUCTS, ETA); } } } @@ -264,6 +261,32 @@ transformed parameters { for (i in 1:K) { X[, i] = Tau[i] + X[, i]; } + + // DEBUGGING + // print(\"Omega\"); + // print(Omega); + // print(\"Gamma\"); + // print(Gamma); + // print(\"Lambda\"); + // print(Lambda); + // print(\"PRODUCTS\"); + // print(PRODUCTS); + // print(\"Theta\"); + // print(Theta); + // print(\"Psi\"); + // print(Psi); + + // print(\"head(ETA)\"); + // print(ETA[1:5, ]); + // + // print(\"head(XI)\"); + // print(XI[1:5, ]); + // + // print(\"head(X)\"); + // print(X[1:5, ]); + + // print(\"head(XZ)\"); + // print(getIthProduct(1, N_LVS, N, PRODUCTS, ETA)[1:5]); } model { @@ -274,14 +297,14 @@ model { { row_vector[N_LVS] alpha_row = to_row_vector(Alpha); // convert mean for (n in 1:N) { - to_row_vector(XI[n]) ~ multi_normal(alpha_row, Psi); + XI[n] ~ multi_normal(alpha_row, Psi); } } { matrix[N, K] mu = X; // expected scores (built in TP block) for (n in 1:N) { - to_row_vector(Y[n]) ~ multi_normal(to_row_vector(mu[n]), Theta); + Y[n] ~ multi_normal(to_row_vector(mu[n]), Theta); } } } @@ -438,7 +461,7 @@ fit <- sampling( warmup = 1000 ) -summary(fit, c("beta_X", "beta_Z", "beta_XZ")) +summary(fit, c("gamma")) stan_rhat(fit) stan_trace(fit, "beta_X") stan_trace(fit, "beta_XZ") From 87261db128c68e89cebcd33416e531f4dc1e6bf6 Mon Sep 17 00:00:00 2001 From: kss2k Date: Tue, 29 Jul 2025 20:52:34 +0200 Subject: [PATCH 03/51] Clean up post-estimation analysis --- test_bayesian_full.R | 9 +++++---- 1 file changed, 5 insertions(+), 4 deletions(-) diff --git a/test_bayesian_full.R b/test_bayesian_full.R index ef77f45e..0e424e7b 100644 --- a/test_bayesian_full.R +++ b/test_bayesian_full.R @@ -451,7 +451,8 @@ specifyModelSTAN <- function(syntax = NULL, stan_data <- specifyModelSTAN(model.syntax, data = oneInt) -stan_model <- stan_model(model_code = stan.syntax) +# stan_model <- stan_model(model_code = stan.syntax) +stan_model <- stan_model("interaction.stan") fit <- sampling( object = stan_model, @@ -462,9 +463,9 @@ fit <- sampling( ) summary(fit, c("gamma")) +summary(fit, c("omega")) stan_rhat(fit) -stan_trace(fit, "beta_X") -stan_trace(fit, "beta_XZ") -stan_trace(fit, "beta_Z") +stan_trace(fit, "omega") +stan_trace(fit, "gamma") From f7458f91d98563d654529bf3b92d99d1190eeb8d Mon Sep 17 00:00:00 2001 From: kss2k Date: Wed, 30 Jul 2025 09:20:36 +0200 Subject: [PATCH 04/51] Test bayesian approach for three-way interactions --- test_bayesian_full.R | 101 ++++++++++++++++++++++++++++++++++++++----- 1 file changed, 90 insertions(+), 11 deletions(-) diff --git a/test_bayesian_full.R b/test_bayesian_full.R index 0e424e7b..388d4703 100644 --- a/test_bayesian_full.R +++ b/test_bayesian_full.R @@ -1,5 +1,8 @@ devtools::load_all() + +library(mvtnorm) library(rstan) + rstan_options(auto_write = TRUE) # cache compiled models options(mc.cores = parallel::detectCores()) @@ -311,14 +314,6 @@ model { " -model.syntax <- ' - X =~ x1 + x2 + x3 - Z =~ z1 + z2 + z3 - Y =~ y1 + y2 + y3 - - Y ~ X + Z + X:Z -' - # Functions specifyModelSTAN <- function(syntax = NULL, data = NULL, @@ -449,10 +444,16 @@ specifyModelSTAN <- function(syntax = NULL, ) } +m1 <- ' + X =~ x1 + x2 + x3 + Z =~ z1 + z2 + z3 + Y =~ y1 + y2 + y3 + + Y ~ X + Z + X:Z +' -stan_data <- specifyModelSTAN(model.syntax, data = oneInt) -# stan_model <- stan_model(model_code = stan.syntax) -stan_model <- stan_model("interaction.stan") +stan_data <- specifyModelSTAN(m1, data = oneInt) +stan_model <- stan_model(model_code = stan.syntax) fit <- sampling( object = stan_model, @@ -469,3 +470,81 @@ stan_trace(fit, "omega") stan_trace(fit, "gamma") +set.seed(29723234) + + +n <- 500 +Sigma <- matrix(c( + 1.2, 0.7, 0.8, + 0.7, 1.8, 0.6, + 0.8, 0.6, 1.4 +), nrow = 3) + + +XI <- rmvnorm(n, sigma = Sigma) + +X <- XI[, 1] +Z <- XI[, 2] +W <- XI[, 3] + +Y <- 1.2 * X + 0.4 * Z + 0.7 * W + + 0.2 * W * Z + + 0.7 * W * X + + 1.2 * X * Z + + 2.2 * X * Z * W + rnorm(n, sd = sqrt(2)) + +createInd <- \(x, lambda, epsilon = 0.2) lambda * x + rnorm(n, sd = sqrt(epsilon)) + + +x1 <- createInd(X, 1) +x2 <- createInd(X, 0.8) +x3 <- createInd(X, 0.9) + +z1 <- createInd(Z, 1) +z2 <- createInd(Z, 0.8) +z3 <- createInd(Z, 0.9) + +w1 <- createInd(W, 1) +w2 <- createInd(W, 0.8) +w3 <- createInd(W, 0.9) + +y1 <- createInd(Y, 1) +y2 <- createInd(Y, 0.8) +y3 <- createInd(Y, 0.9) + +data.3way <- data.frame(x1, x2, x3, + z1, z2, z3, + w1, w2, w3, + y1, y2, y3) +m.3way <- ' + X =~ x1 + x2 + x3 + Z =~ z1 + z2 + z3 + W =~ w1 + w2 + w3 + Y =~ y1 + y2 + y3 + + Y ~ X + Z + W + X:Z + X:W + Z:W + X:Z:W + # True values are + # Y ~ 1.2 * X + + # 0.4 * Z + + # 0.7 * W + + # 1.2 * X:Z + + # 0.7 * X:W + + # 0.2 * Z:W + + # 2.2 * X:Z:W + +' + +stan_data.3way <- specifyModelSTAN(m.3way, data = data.3way) + +fit.3way <- sampling( + object = stan_model, + data = stan_data.3way, + chains = 2, + iter = 2000, + warmup = 1000 +) + +summary(fit.3way, c("gamma")) +summary(fit.3way, c("omega")) +stan_rhat(fit.3way) +stan_trace(fit.3way, "omega") +stan_trace(fit.3way, "gamma") From 8685b984bc8a679b39fbd861171f78dd0fea0572 Mon Sep 17 00:00:00 2001 From: kss2k Date: Wed, 30 Jul 2025 17:33:55 +0200 Subject: [PATCH 05/51] Added `modsem_stan` function --- NAMESPACE | 2 + R/create_stan_model.R | 411 +++++++++++++++++++++++++++++ R/modsem_stan.R | 76 ++++++ interaction.stan | 247 +++++++++++++++++ man/TPB_1SO.Rd | 2 +- man/TPB_2SO.Rd | 2 +- man/bootstrap_modsem.Rd | 16 +- man/centered_estimates.Rd | 2 +- man/colorize_output.Rd | 12 +- man/compare_fit.Rd | 4 +- man/estimate_h0.Rd | 4 +- man/modsem_da.Rd | 52 ++-- man/modsem_inspect.Rd | 34 +-- man/modsem_mimpute.Rd | 2 +- man/modsem_mplus.Rd | 2 +- man/modsem_pi.Rd | 16 +- man/modsem_predict.Rd | 10 +- man/plot_interaction.Rd | 2 +- man/plot_jn.Rd | 6 +- man/set_modsem_colors.Rd | 10 +- man/simple_slopes.Rd | 16 +- man/standardize_model.Rd | 6 +- man/standardized_estimates.Rd | 20 +- man/summarize_partable.Rd | 2 +- man/summary.Rd | 8 +- optimized_interaction_model.rds | Bin 0 -> 1247322 bytes test_bayesian.R | 252 ++++++++++++++++++ test_bayesian_full.R | 454 +------------------------------- 28 files changed, 1104 insertions(+), 566 deletions(-) create mode 100644 R/create_stan_model.R create mode 100644 R/modsem_stan.R create mode 100644 interaction.stan create mode 100644 optimized_interaction_model.rds diff --git a/NAMESPACE b/NAMESPACE index 218c6f4d..6f1b8fe0 100644 --- a/NAMESPACE +++ b/NAMESPACE @@ -65,6 +65,7 @@ S3method(print,modsem_mplus) S3method(print,modsem_partable_summary) S3method(print,modsem_pi) S3method(print,modsem_relcorr) +S3method(print,modsem_stan) S3method(print,simple_slopes) S3method(print,summary_da) S3method(print,summary_modsem_pi) @@ -77,6 +78,7 @@ S3method(standardized_estimates,modsem_pi) S3method(summary,modsem_da) S3method(summary,modsem_mplus) S3method(summary,modsem_pi) +S3method(summary,modsem_stan) S3method(var_interactions,data.frame) S3method(var_interactions,modsem_da) S3method(var_interactions,modsem_mplus) diff --git a/R/create_stan_model.R b/R/create_stan_model.R new file mode 100644 index 00000000..b48a2cae --- /dev/null +++ b/R/create_stan_model.R @@ -0,0 +1,411 @@ +STAN_OPERATOR_LABELS <- c( + "__INTERCEPT" = "~1", + "__REGRESSION__" = "~", + "__COVARIANCE__" = "~~", + "__MEASUREMENT__" = "=~", + "__XWITH__" = ":" +) + + +STAN_SYNTAX_BLOCKS <- " +functions { +%s + +} + +data { +%s + +} + +parameters { +%s + +} + +transformed parameters { +%s + +} + +model { +%s + +} + +generated quantities { +%s + +} +" + +compile_stan_model <- function(model.syntax) { + message("Compiling STAN model...") + + parTable <- modsemify(model.syntax) + + # endogenous variables (etas)model + etas <- getSortedEtas(parTable, isLV = TRUE, checkAny = TRUE) + etas <- etas[length(etas):1] # reverse + numEtas <- length(etas) + + indsEtas <- getIndsLVs(parTable, etas) + numIndsEtas <- vapply(indsEtas, FUN.VALUE = vector("integer", 1L), + FUN = length) + allIndsEtas <- unique(unlist(indsEtas)) + numAllIndsEtas <- length(allIndsEtas) + + # exogenouts variables (xis) and interaction terms + intTerms <- unique(parTable[grepl(":", parTable$rhs), "rhs"]) + numInts <- length(intTerms) + varsInts <- stringr::str_split(intTerms, pattern = ":") + varsInts <- stats::setNames(varsInts, nm = intTerms) + allVarsInInts <- unique(unlist(varsInts)) + + xis <- getXis(parTable, checkAny = TRUE) + numXis <- length(xis) + + indsXis <- getIndsLVs(parTable, xis) + numIndsXis <- vapply(indsXis, FUN.VALUE = vector("integer", 1L), + FUN = length) + allIndsXis <- unique(unlist(indsXis)) + numAllIndsXis <- length(allIndsXis) + + lVs <- c(xis, etas) + numLVs <- length(lVs) + indsLVs <- getIndsLVs(parTable, lVs) + allInds <- c(allIndsXis, allIndsEtas) + numAllInds <- length(allInds) + + collapse <- function(..., sep = "\n") { + args <- list(...) + do.call( + "paste", + args = c(lapply(args, FUN = \(arg) paste0(arg, collapse = sep)), + list(sep = sep)) + ) + } + + FUNCTIONS <- " + // empirical covariance helper (for generated quantities) + real cov_vector(vector a, vector b) { + int N = num_elements(a); + + // Center the vectors + vector[N] a_centered = a - mean(a); + vector[N] b_centered = b - mean(b); + + // dot_product is faster than manual loop and clearer than dot_self + return dot_product(a_centered, b_centered) / (N - 1); + } + " + + DATA <- "int N; // sample size" + PARAMETERS <- NULL + TRANSFORMED_PARAMETERS <- NULL + MODEL <- NULL + GENERATED_QUANTITIES <- NULL + + + STAN_INDS_LV <- function(lV) { + inds <- indsLVs[[lV]] + k <- length(inds) + + # data {} + dataInds <- sprintf("matrix[N, %d] INDICATORS_%s;", k, lV) + + # parameters {} + labTau <- sprintf("%s__INTERCEPT", inds) + labResSD <- sprintf("%s__COVARIANCE__%s", inds, inds) + labLambda <- sprintf("%s__MEASUREMENT__%s", lV, inds[-1]) # first loading is constrained + + parTau <- sprintf("real %s;", labTau) + parResSD <- sprintf("real %s;", labResSD) + parLambda <- sprintf("real %s;", labLambda) + + # model {} + idx <- seq_along(inds) + modInd <- sprintf("INDICATORS_%s[,%d] ~ normal(%s + %s * %s, %s);", + lV, idx, labTau, c("1", labLambda), lV, labResSD) + + parameters <- collapse(parTau, parResSD, parLambda) + model <- collapse(modInd) + data <- collapse(dataInds) + + list(parameters = parameters, model = model, data = data) + } + + + STAN_PAR_XI <- function(xi) { + # parameters {} + labSD <- sprintf("%s__COVARIANCE__%s", xi, xi) + parValues <- sprintf("vector[N] %s;", xi) + parSD <- sprintf("real %s;", labSD) + + # model {} + modXi <- sprintf("%s ~ normal(0, %s);", xi, labSD) + + parameters <- collapse(parValues, parSD) + + list(parameters = parameters, model = modXi) + } + + STAN_PAR_ETA <- function(eta) { + indeps <- unique(parTable[parTable$lhs == eta & parTable$op == "~", "rhs"]) + indeps <- stringr::str_replace_all(indeps, pattern = ":", + replacement = "__XWITH__") + + # parameters {} + labBeta <- sprintf("%s__REGRESSION__%s", eta, indeps) + labSD <- sprintf("%s__COVARIANCE__%s", eta, eta) + + parBeta <- sprintf("real %s;", labBeta) + parValues <- sprintf("vector[N] %s;", eta) + parSD <- sprintf("real %s;", labSD) + + # model {} + projEta <- collapse(sprintf("%s * %s", labBeta, indeps), sep = " + ") + modEta <- sprintf("%s ~ normal(%s, %s);", eta, projEta, labSD) + + parameters <- collapse(parValues, parSD, parBeta) + + list(parameters = parameters, model = modEta) + } + + STAN_COMPUTED_PRODUCTS <- function(intTerms) { + transformed_parameters <- NULL + + for (intTerm in intTerms) { + elems <- stringr::str_split(intTerm, pattern = ":")[[1L]] + prodEq <- collapse(elems, sep = " .* ") + nameIntTerm <- collapse(elems, sep = "__XWITH__") + + transformed_parameters <- c( + transformed_parameters, + sprintf("vector[N] %s = %s;", nameIntTerm, prodEq) + ) + } + + list(transformed_parameters = collapse(transformed_parameters)) + } + + STAN_COMPUTED_COVARIANCES <- function(vars) { + combos <- getUniqueCombos(vars) + generated_quantities <- NULL + + for (i in seq_len(NROW(combos))) { + lhs <- combos[[1L]][[i]] + rhs <- combos[[2L]][[i]] + + generated_quantities <- c( + generated_quantities, + sprintf("real %s__COVARIANCE__%s = cov_vector(%s, %s);", + lhs, rhs, lhs, rhs) + ) + } + + list(generated_quantities = collapse(generated_quantities)) + } + + add2block <- function(FUN, ...) { + blocks <- FUN(...) + + for (name in names(blocks)) { + block <- blocks[[name]] + switch(name, + functions = { + FUNCTIONS <<- collapse(FUNCTIONS, block) + }, + + data = { + DATA <<- collapse(DATA, block) + }, + + parameters = { + PARAMETERS <<- collapse(PARAMETERS, block) + }, + + transformed_parameters = { + TRANSFORMED_PARAMETERS <<- collapse(TRANSFORMED_PARAMETERS, block) + }, + + model = { + MODEL <<- collapse(MODEL, block) + }, + + generated_quantities = { + GENERATED_QUANTITIES <<- collapse(GENERATED_QUANTITIES, block) + } + ) + } + } + + + for (lV in lVs) add2block(STAN_INDS_LV, lV = lV) + for (xi in xis) add2block(STAN_PAR_XI, xi = xi) + for (eta in etas) add2block(STAN_PAR_ETA, eta = eta) + + add2block(STAN_COMPUTED_PRODUCTS, intTerms = intTerms) + add2block(STAN_COMPUTED_COVARIANCES, vars = xis) + # add2block(STAN_COMPUTED_COVARIANCES, vars = etas) # These should be residual variances... + + stanModelSyntax <- sprintf(STAN_SYNTAX_BLOCKS, + FUNCTIONS, DATA, PARAMETERS, + TRANSFORMED_PARAMETERS, + MODEL, GENERATED_QUANTITIES) + + list(syntax = stanModelSyntax, + stan_model = rstan::stan_model(model_code = stanModelSyntax), + info = list(lVs = lVs, + xis = xis, + etas = etas, + indsLVs = indsLVs, + allIndsXis = allIndsXis, + allIndsEtas = allIndsEtas)) +} + + +get_stan_data <- function(compiled_model, data, impute.na = FALSE) { + lVs <- compiled_model$info$lVs + indsLVs <- compiled_model$info$indsLVs + allIndsXis <- compiled_model$info$allIndsXis + allIndsEtas <- compiled_model$info$allIndsEtas + + # clean data + INDICATORS <- cleanAndSortData(data, allIndsXis, allIndsEtas, impute.na = impute.na) + + stan_data <- list(N = nrow(data)) + + for (lV in lVs) { + name <- sprintf("INDICATORS_%s", lV) + inds <- indsLVs[[lV]] + stan_data[[name]] = INDICATORS[, inds, drop = FALSE] + } + + stan_data +} + + +EXAMPLE_STAN_SYNTAX_3WAY <- ' +// sem_latent_interaction.stan (updated) +// SEM with three latent factors (X, Z, Y) and latent interaction X×Z → Y +// Identification: first loading fixed to 1; *latent means constrained to 0*. +// All nine indicator intercepts τ are now free. + +functions { + // empirical covariance helper (for generated quantities) + real cov_vector(vector a, vector b) { + return (dot_self(a - mean(a)))/(num_elements(a)-1); + } +} + +data { + int N; // sample size + matrix[N, 12] Y; // observed indicators (x1–x3, z1–z3, y1–y3) +} + +parameters { + //-------------------------------------- + // Measurement part + //-------------------------------------- + vector[2] lambda_x; // loadings: x2, x3 + vector[2] lambda_z; // loadings: z2, z3 + vector[2] lambda_w; // loadings: w2, w3 + vector[2] lambda_y; // loadings: y2, y3 + + vector[12] tau; // ALL indicator intercepts free + vector[12] sigma_e; // residual SDs + + //-------------------------------------- + // Latent part + //-------------------------------------- + real sigma_X; + real sigma_Z; + real sigma_W; + real sigma_Y; + + real beta_X; // structural slopes + real beta_Z; + real beta_W; + real beta_XZ; + real beta_XW; + real beta_ZW; + real beta_XZW; + + vector[N] X; // person‑level latent scores + vector[N] Z; + vector[N] W; + vector[N] Y_lat; // endogenous latent Y +} + +transformed parameters { + vector[N] XZ = X .* Z; // latent interaction term + vector[N] XW = X .* W; // latent interaction term + vector[N] ZW = Z .* W; // latent interaction term + vector[N] XZW = X .* ZW; // latent interaction term +} + +model { + //-------------------------------------- + // Priors + //-------------------------------------- + // lambda_x ~ normal(1, 1); + // lambda_z ~ normal(1, 1); + // lambda_y ~ normal(1, 1); + + // tau ~ normal(0, 2); + + // sigma_X ~ exponential(1); + // sigma_Z ~ exponential(1); + // sigma_Y ~ exponential(1); + // sigma_e ~ exponential(1); + + // beta_X ~ normal(0, 1); + // beta_Z ~ normal(0, 1); + // beta_XZ ~ normal(0, 1); + + //-------------------------------------- + // Latent variable distributions (means fixed to 0) + //-------------------------------------- + X ~ normal(0, sigma_X); + Z ~ normal(0, sigma_Z); + W ~ normal(0, sigma_W); + Y_lat ~ normal(beta_X * X + + beta_Z * Z + + beta_W * W + + beta_XZ * XZ + + beta_XW * XW + + beta_ZW * ZW + + beta_XZW * XZW, + sigma_Y); + + //-------------------------------------- + // Measurement model + //-------------------------------------- + // X indicators + Y[,1] ~ normal(tau[1] + X, sigma_e[1]); // x1 (λ fixed = 1) + Y[,2] ~ normal(tau[2] + lambda_x[1] * X, sigma_e[2]); // x2 + Y[,3] ~ normal(tau[3] + lambda_x[2] * X, sigma_e[3]); // x3 + + // Z indicators + Y[,4] ~ normal(tau[4] + Z, sigma_e[4]); // z1 (λ fixed = 1) + Y[,5] ~ normal(tau[5] + lambda_z[1] * Z, sigma_e[5]); // z2 + Y[,6] ~ normal(tau[6] + lambda_z[2] * Z, sigma_e[6]); // z3 + + // W indicators + Y[,7] ~ normal(tau[7] + W, sigma_e[7]); // y1 (λ fixed = 1) + Y[,8] ~ normal(tau[8] + lambda_w[1] * W, sigma_e[8]); // y2 + Y[,9] ~ normal(tau[9] + lambda_w[2] * W, sigma_e[9]); // y3 + + // Y indicators + Y[,10] ~ normal(tau[10] + Y_lat, sigma_e[10]); // y1 (λ fixed = 1) + Y[,11] ~ normal(tau[11] + lambda_y[1] * Y_lat, sigma_e[11]); // y2 + Y[,12] ~ normal(tau[12] + lambda_y[2] * Y_lat, sigma_e[12]); // y3 +} + +generated quantities { + real cov_XZ = cov_vector(X, Z); + real cov_XW = cov_vector(X, W); + real cov_ZW = cov_vector(Z, W); +} +' diff --git a/R/modsem_stan.R b/R/modsem_stan.R new file mode 100644 index 00000000..4272baaf --- /dev/null +++ b/R/modsem_stan.R @@ -0,0 +1,76 @@ +modsem_stan <- function(model.syntax = NULL, + data = NULL, + compiled_model = NULL, + chains = 2, + iter = 2000, + warmup = 1000, ...) { + if (is.null(compiled_model)) { + stopif(is.null(model.syntax), + "One of `model.syntax` or `compiled_model` has to be provided!") + + compiled_model <- compile_stan_model(m1) + } + + stan_data <- get_stan_data(compiled_model = compiled_model, data = data) + + message("Sampling STAN model...") + fit <- rstan::sampling(object = compiled_model$stan_model, + data = stan_data, + chains = chains, + iter = iter, + warmup = warmup, + ...) + + samples <- as.matrix(fit) + samples <- samples[, !grepl("\\[[0-9]+\\]", colnames(samples))] + + pars <- stringr::str_replace_all(colnames(samples), STAN_OPERATOR_LABELS) + colnames(samples) <- pars + + OP <- "~~|=~|~1|~" + op <- stringr::str_extract(pars, pattern = OP) + op[is.na(op)] <- ":=" + lr <- stringr::str_split_fixed(pars, pattern = OP, n = 2) + + lhs <- lr[, 1] + rhs <- lr[, 2] + + isSD <- lhs == rhs & op == "~~" + samples[, isSD] <- samples[, isSD]^2 + + coefs <- apply(samples, MARGIN = 2, FUN = mean) + vcov <- cov(samples) + + se <- sqrt(diag(vcov)) + parTable <- data.frame( + lhs = lhs, op = op, rhs = rhs, est = coefs, std.error = se, + z.value = coefs / se, p.value = 2 * stats::pnorm(-abs(coefs / se)), + ci.lower = coefs - CI_WIDTH * se, ci.upper = coefs + CI_WIDTH * se + ) + parTable <- parTable[order(parTable$op), ] + rownames(parTable) <- NULL + parTable <- modsemParTable(parTable[parTable$op != ":=", , drop = FALSE]) + + out <- list(fit = fit, + parTable = parTable, + coefs = coefs, + vcov = vcov, + samples = samples) + + + class(out) <- "modsem_stan" + + out +} + + +#' @export +summary.modsem_stan <- function(object, ...) { + summarize_partable(object$parTable) +} + + +#' @export +print.modsem_stan <- function(x, ...) { + print(x$parTable) +} diff --git a/interaction.stan b/interaction.stan new file mode 100644 index 00000000..e06e8db6 --- /dev/null +++ b/interaction.stan @@ -0,0 +1,247 @@ +// sem_latent_interaction_fast.stan +// Three latent factors (X, Z, Y) plus a latent interaction X×Z → Y +// Identification: first loading per factor fixed to 1 +// All indicator intercepts τ are free +// Fast version: non-centred Ξ, Cholesky likelihoods, vectorised products +//-------------------------------------------------------------------------- + +functions { + /** + * Multiply the N-length latent vectors whose indices are listed in + * idx_row (zeros mean “not used”) and return the N-vector product. + */ + vector get_product(int N_LVS, + int N, + int idx_row[N_LVS], // <- fixed-size int array + matrix ETA) { + vector[N] out = rep_vector(1, N); + for (j in 1:N_LVS) + if (idx_row[j] > 0) + out = out .* ETA[, idx_row[j]]; + return out; + } +} + +////////////////////////////////////////////////////////// +// DATA +////////////////////////////////////////////////////////// +data { + int N; // sample size + int K; // number of indicators + int N_XIS; // number of ξ (exogenous) factors + int N_ETAS; // number of η (endogenous) factors + int N_LVS; // total latent factors = N_XIS + N_ETAS + int N_INT; // number of latent interactions + + //-------------------------------------------------------------------- + // mask matrices (0 = fixed to 0, 1 = free, 2 = reference loading 1) + //-------------------------------------------------------------------- + matrix[K, N_LVS] LAMBDA_mask; // measurement model + matrix[N_ETAS, N_LVS] GAMMA_mask; // structural paths + matrix[N_ETAS, N_INT] OMEGA_mask; // interaction paths + matrix[N_INT, N_LVS] PRODUCTS_mask; // which LVs in each product + matrix[N_LVS, N_LVS] PSI_mask; // latent (co)variances + matrix[K, K] THETA_mask; // indicator (co)variances + vector[K] TAU_mask; // indicator intercepts + vector[N_LVS] ALPHA_mask; // latent means + + //-------------------------------------------------------------------- + // helper counts = number of free parameters in each block + //-------------------------------------------------------------------- + int N_FREE_LAMBDA; + int N_FREE_GAMMA; + int N_FREE_OMEGA; + int N_FREE_PSI_D; + int N_FREE_PSI_L; + int N_FREE_THETA_D; + int N_FREE_THETA_L; + int N_FREE_TAU; + int N_FREE_ALPHA; + + //-------------------------------------------------------------------- + // index array for products (built once in R/Python would be better) + //-------------------------------------------------------------------- + array[N_INT, N_LVS] int PROD_IDX; // 0 where not used + + // observed data + matrix[N, K] Y; +} + +////////////////////////////////////////////////////////// +// PARAMETERS +////////////////////////////////////////////////////////// +parameters { + //---------------- measurement ---------------- + vector[N_FREE_LAMBDA] lambda; + vector[N_FREE_TAU] tau; + vector[N_FREE_THETA_D] theta_d; + vector[N_FREE_THETA_L] theta_l; + + //---------------- structural ----------------- + vector[N_FREE_GAMMA] gamma; + vector[N_FREE_OMEGA] omega; + vector[N_FREE_ALPHA] alpha; + vector[N_FREE_PSI_D] psi_d; + vector[N_FREE_PSI_L] psi_l; + + //---------------- latent variables ----------- + matrix[N, N_LVS] XI_raw; // non-centred + cholesky_factor_corr[N_LVS] Lcorr_Psi; + vector[N_LVS] sigma_Psi; +} + +////////////////////////////////////////////////////////// +// TRANSFORMED PARAMETERS +////////////////////////////////////////////////////////// +transformed parameters { + //------------------------------------------------- + // 1. free-parameter matrices / vectors + //------------------------------------------------- + matrix[K, N_LVS] Lambda = rep_matrix(0, K, N_LVS); + matrix[N_ETAS, N_LVS] Gamma = rep_matrix(0, N_ETAS, N_LVS); + matrix[N_ETAS, N_INT] Omega = rep_matrix(0, N_ETAS, N_INT); + matrix[N_LVS, N_LVS] Psi = rep_matrix(0, N_LVS, N_LVS); + matrix[K, K] Theta = rep_matrix(0, K, K); + vector[K] Tau = rep_vector(0, K); + vector[N_LVS] Alpha = rep_vector(0, N_LVS); + + { //-------------------------------------------- + int k; + + // Lambda (loadings) + k = 1; + for (r in 1:K) + for (c in 1:N_LVS) + if (LAMBDA_mask[r, c] == 2) // reference loading + Lambda[r, c] = 1; + else if (LAMBDA_mask[r, c] == 1) { + Lambda[r, c] = lambda[k]; + ++k; + } + + //--- Gamma ----------------------------------------------------------------- + k = 1; + for (r in 1:N_ETAS) { + for (c in 1:N_LVS) { + if (GAMMA_mask[r, c]) { + Gamma[r, c] = gamma[k]; + ++k; + } + } + } + + //--- Omega ----------------------------------------------------------------- + k = 1; + for (r in 1:N_ETAS) { + for (c in 1:N_INT) { + if (OMEGA_mask[r, c]) { + Omega[r, c] = omega[k]; + ++k; + } + } + } + + //--- Theta lower triangle --------------------------------------------------- + k = 1; + for (i in 2:K) { + for (j in 1:(i - 1)) { + if (THETA_mask[i, j]) { + Theta[i, j] = theta_l[k]; + Theta[j, i] = theta_l[k]; + ++k; + } + } + } + + //--- Psi lower triangle ----------------------------------------------------- + k = 1; + for (i in 2:N_LVS) { + for (j in 1:(i - 1)) { + if (PSI_mask[i, j]) { + Psi[i, j] = psi_l[k]; + Psi[j, i] = psi_l[k]; + ++k; + } + } + } + // Alpha + k = 1; + for (i in 1:N_LVS) + if (ALPHA_mask[i]) + Alpha[i] = alpha[k++]; + + // Tau + k = 1; + for (i in 1:K) + if (TAU_mask[i]) + Tau[i] = tau[k++]; + } + + //------------------------------------------------- + // 2. latent variables (non-centred) + //------------------------------------------------- + matrix[N_LVS, N_LVS] L_Psi = diag_pre_multiply(sigma_Psi, Lcorr_Psi); + matrix[N, N_LVS] XI = rep_matrix(Alpha', N) + XI_raw * L_Psi'; + + //------------------------------------------------- + // 3. build η factors including interactions + //------------------------------------------------- + matrix[N, N_LVS] ETA = XI; // start with ξ & η residuals + + for (e in 1:N_ETAS) { + int idx = N_XIS + e; // column in ETA for ηₑ + + // structural main-effects + for (j in 1:N_LVS) + if (GAMMA_mask[e, j]) + ETA[, idx] += Gamma[e, j] * ETA[, j]; + + // latent interactions + for (p in 1:N_INT) + if (OMEGA_mask[e, p]) + ETA[, idx] += Omega[e, p] * + get_product(N_LVS, N, PROD_IDX[p], ETA); + } + + //------------------------------------------------- + // 4. expected indicators + //------------------------------------------------- + matrix[N_LVS, K] Lambda_T = Lambda'; // cache transpose + matrix[N, K] Mu = ETA * Lambda_T; + for (k in 1:K) + Mu[, k] += Tau[k]; +} + +////////////////////////////////////////////////////////// +// MODEL +////////////////////////////////////////////////////////// +model { + //-------------------- priors (weakly informative) --------- + lambda ~ normal(0, 0.5); + gamma ~ normal(0, 0.5); + omega ~ normal(0, 0.5); + alpha ~ normal(0, 1); + + sigma_Psi ~ lognormal(0, 0.5); + Lcorr_Psi ~ lkj_corr_cholesky(2); + + theta_d ~ lognormal(-1, 0.5); + theta_l ~ normal(0, 0.3); + psi_d ~ lognormal(-1, 0.5); + psi_l ~ normal(0, 0.3); + + //-------------------- latent variables (non-centred) ----- + to_vector(XI_raw) ~ normal(0, 1); // standard normal i.i.d. + + //-------------------- likelihood -------------------------- + { + matrix[K, K] L_Theta = cholesky_decompose(Theta); + for (n in 1:N) + Y[n] ~ multi_normal_cholesky(Mu[n], L_Theta); + } +} + +////////////////////////////////////////////////////////// +// Optionally add a generated-quantities block to monitor +// the interaction scores, predicted Y, etc. +////////////////////////////////////////////////////////// diff --git a/man/TPB_1SO.Rd b/man/TPB_1SO.Rd index cdc2ec1a..bf5effd2 100644 --- a/man/TPB_1SO.Rd +++ b/man/TPB_1SO.Rd @@ -21,7 +21,7 @@ tpb <- ' # Higher order interaction INTxPBC =~ ATT:PBC + SN:PBC + PBC:PBC - + # Structural model BEH ~ PBC + INT + INTxPBC ' diff --git a/man/TPB_2SO.Rd b/man/TPB_2SO.Rd index d25ca2ce..bcb5c40c 100644 --- a/man/TPB_2SO.Rd +++ b/man/TPB_2SO.Rd @@ -24,7 +24,7 @@ tpb <- ' # Higher order interaction INTxPBC =~ ATT:PC + ATT:PB + SN:PC + SN:PB - + # Structural model BEH ~ PBC + INT + INTxPBC ' diff --git a/man/bootstrap_modsem.Rd b/man/bootstrap_modsem.Rd index f85e42fc..048cd099 100644 --- a/man/bootstrap_modsem.Rd +++ b/man/bootstrap_modsem.Rd @@ -41,8 +41,8 @@ bootstrap_modsem(model = modsem, FUN, ...) a fitted model. The function must accept a single argument, the model object, and should ideally return a numeric vector; see Value.} -\item{...}{Additional arguments forwarded to \code{lavaan::bootstrapLavaan} -for \code{\link{modsem_pi}} objects, or \code{\link{modsem_da}} for +\item{...}{Additional arguments forwarded to \code{lavaan::bootstrapLavaan} +for \code{\link{modsem_pi}} objects, or \code{\link{modsem_da}} for \code{\link{modsem_da}} objects.} \item{R}{number of bootstrap replicates.} @@ -88,10 +88,10 @@ The function internally resamples the observed data (non-parametric feeds the sample to \code{\link{modsem_da}}, evaluates \code{FUN} on the refitted object and finally collates the results. -This is a more general version of \code{boostrap_modsem} for - bootstrapping \code{modsem} functions, not modsem objects. +This is a more general version of \code{boostrap_modsem} for + bootstrapping \code{modsem} functions, not modsem objects. \code{model} is now a function to be boostrapped, and \code{...} - are now passed to the function (\code{model}), not \code{FUN}. To + are now passed to the function (\code{model}), not \code{FUN}. To pass arguments to \code{FUN} use \code{FUN.args}. } \section{Methods (by class)}{ @@ -146,11 +146,11 @@ tpb <- " " \dontrun{ -boot <- bootstrap_modsem(model = modsem, +boot <- bootstrap_modsem(model = modsem, model.syntax = tpb, data = TPB, - method = "dblcent", rcs = TRUE, + method = "dblcent", rcs = TRUE, rcs.scale.corrected = TRUE, - FUN = "coef", R = 50L) + FUN = "coef", R = 50L) coef <- apply(boot, MARGIN = 2, FUN = mean, na.rm = TRUE) se <- apply(boot, MARGIN = 2, FUN = sd, na.rm = TRUE) diff --git a/man/centered_estimates.Rd b/man/centered_estimates.Rd index d95f222e..3d5716c1 100644 --- a/man/centered_estimates.Rd +++ b/man/centered_estimates.Rd @@ -44,7 +44,7 @@ A \code{data.frame} with centered estimates in the \code{est} column. \description{ Computes centered estimates of model parameters. This is relevant when there is an interaction term in the model, as the simple main effects depend upon the mean structure - of the structural model. Currenlty only available for + of the structural model. Currenlty only available for \code{\link{modsem_da}} and \code{lavaan} object. It is not relevant for the PI approaches (excluding the "pind" method, which is not recommended), since the indicators are centered before computing the product terms. diff --git a/man/colorize_output.Rd b/man/colorize_output.Rd index 41e4b283..4935dad8 100644 --- a/man/colorize_output.Rd +++ b/man/colorize_output.Rd @@ -37,7 +37,7 @@ colorize_output( \item{string}{color of quoted strings.} -\item{split}{Should output be splitted? If \code{TRUE} the output is printed +\item{split}{Should output be splitted? If \code{TRUE} the output is printed normally (in real time) with no colorization, and the colored output is printed after the code has finished executing.} @@ -50,10 +50,10 @@ Invisibly returns the *plain* captured text. Capture, colorise, and emit console text } \examples{ -set_modsem_colors(positive = "red3", +set_modsem_colors(positive = "red3", negative = "red3", - true = "darkgreen", - false = "red3", + true = "darkgreen", + false = "red3", na = "purple", string = "darkgreen") @@ -78,8 +78,8 @@ colorize_output(split = TRUE, { est_lms <- modsem(m1, data = oneInt, method = "lms") summary(est_lms) -}) - +}) + colorize_output(modsem_inspect(est_lms)) } } diff --git a/man/compare_fit.Rd b/man/compare_fit.Rd index 578973f3..b5e5b963 100644 --- a/man/compare_fit.Rd +++ b/man/compare_fit.Rd @@ -13,13 +13,13 @@ alternative hypothesis model (with interaction terms).} \item{est_h0}{object of class \code{\link{modsem_da}} or \code{\link{modsem_pi}} representing the null hypothesis model (without interaction terms).} -\item{...}{additional arguments passed to the underlying comparison function. E.g., +\item{...}{additional arguments passed to the underlying comparison function. E.g., for \code{modsem_pi} models, this can be used to pass arguments to \code{lavaan::lavTestLRT}. currently only used for \code{modsem_pi} models.} } \description{ Compare the fit of two models using the likelihood ratio test (LRT). -\code{est_h0} is the null hypothesis model, and \code{est_h1} the alternative hypothesis model. +\code{est_h0} is the null hypothesis model, and \code{est_h1} the alternative hypothesis model. Importantly, the function assumes that \code{est_h0} does not have more free parameters (i.e., degrees of freedom) than \code{est_h1} (the alternative hypothesis model). } diff --git a/man/estimate_h0.Rd b/man/estimate_h0.Rd index c15b17e1..e0bbd0f7 100644 --- a/man/estimate_h0.Rd +++ b/man/estimate_h0.Rd @@ -20,10 +20,10 @@ estimate_h0(object, warn_no_interaction = TRUE, ...) \item{...}{Additional arguments passed to the `modsem_da` function, overriding the arguments in the original model.} -\item{reduced}{Should the baseline model be a reduced version of the model? +\item{reduced}{Should the baseline model be a reduced version of the model? If \code{TRUE}, the latent product term and its (product) indicators are kept in the model, but the interaction coefficients are constrained to zero. If \code{FALSE}, the -interaction terms are removed completely from the model. Note that the models will no longer be +interaction terms are removed completely from the model. Note that the models will no longer be nested, if the interaction terms are removed from the model completely.} } \description{ diff --git a/man/modsem_da.Rd b/man/modsem_da.Rd index f48f789d..5fdf0c5a 100644 --- a/man/modsem_da.Rd +++ b/man/modsem_da.Rd @@ -71,20 +71,20 @@ increased number gives better estimates but slower computation. How many are nee For simple models, somewhere between 16-24 nodes should be enough; for more complex models, higher numbers may be needed. For models where there is an interaction effect between an endogenous and exogenous variable, the number of nodes should be at least 32, but practically (e.g., ordinal/skewed data), more than 32 is recommended. In cases -where data is non-normal, it might be better to use the \code{qml} approach instead. +where data is non-normal, it might be better to use the \code{qml} approach instead. You can also consider setting \code{adaptive.quad = TRUE}.} \item{impute.na}{Should missing values be imputed? If \code{FALSE} missing values are removed case-wise. If \code{TRUE} values are imputed using \code{Amelia::amelia}. -Default is \code{FALSE}. If you want more fine-grained control over how the missing data +Default is \code{FALSE}. If you want more fine-grained control over how the missing data is imputed, you should consider imputing it yourself.} -\item{convergence.abs}{Absolute convergence criterion. +\item{convergence.abs}{Absolute convergence criterion. Lower values give better estimates but slower computation. Not relevant when using the QML approach. For the LMS approach the EM-algorithm stops whenever the relative or absolute convergence criterion is reached.} -\item{convergence.rel}{Relative convergence criterion. +\item{convergence.rel}{Relative convergence criterion. Lower values give better estimates but slower computation. For the LMS approach the EM-algorithm stops whenever the relative or absolute convergence criterion is reached.} @@ -127,7 +127,7 @@ this will be extremely slow but should be more similar to \code{mplus}.} \item{FIM}{should the Fisher information matrix be calculated using the observed or expected values? Must be either \code{"observed"} or \code{"expected"}.} -\item{EFIM.S}{if the expected Fisher information matrix is computed, \code{EFIM.S} selects the number of Monte Carlo samples. Defaults to 100. +\item{EFIM.S}{if the expected Fisher information matrix is computed, \code{EFIM.S} selects the number of Monte Carlo samples. Defaults to 100. \strong{NOTE}: This number should likely be increased for better estimates (e.g., 1000), but it might drasticly increase computation time.} \item{OFIM.hessian}{Logical. If \code{TRUE} (default), standard errors are @@ -136,15 +136,15 @@ this will be extremely slow but should be more similar to \code{mplus}.} of individual score vectors (OPG). For correctly specified models, these two matrices are asymptotically equivalent; yielding nearly identical standard errors in large samples. The Hessian usually shows smaller finite-sample - variance (i.e., it's more consistent), and is therefore the default. + variance (i.e., it's more consistent), and is therefore the default. Note, that the Hessian is not always positive definite, and is more computationally - expensive to calculate. The OPG should always be positive definite, and a lot + expensive to calculate. The OPG should always be positive definite, and a lot faster to compute. If the model is correctly specified, and the sample size is large, - then the two should yield similar results, and switching to the OPG can save a + then the two should yield similar results, and switching to the OPG can save a lot of time. Note, that the required sample size depends on the complexity of the model. - A large difference between Hessian and OPG suggests misspecification, and + A large difference between Hessian and OPG suggests misspecification, and \code{robust.se = TRUE} should be set to obtain sandwich (robust) standard errors.} \item{EFIM.parametric}{should data for calculating the expected Fisher information matrix be @@ -165,17 +165,17 @@ fischer information matrix.} \item{epsilon}{finite difference for numerical derivatives.} -\item{quad.range}{range in z-scores to perform numerical integration in LMS using, +\item{quad.range}{range in z-scores to perform numerical integration in LMS using, when using quasi-adaptive Gaussian-Hermite Quadratures. By default \code{Inf}, such that \code{f(t)} is integrated from -Inf to Inf, but this will likely be inefficient and pointless at a large number of nodes. Nodes outside \code{+/- quad.range} will be ignored.} \item{adaptive.quad}{should a quasi adaptive quadrature be used? If \code{TRUE}, the quadrature nodes will be adapted to the data. -If \code{FALSE}, the quadrature nodes will be fixed. Default is \code{FALSE}. The adaptive quadrature does not fit an adaptive -quadrature to each participant, but instead tries to place more nodes where posterior distribution is highest. Compared with a +If \code{FALSE}, the quadrature nodes will be fixed. Default is \code{FALSE}. The adaptive quadrature does not fit an adaptive +quadrature to each participant, but instead tries to place more nodes where posterior distribution is highest. Compared with a fixed Gauss Hermite quadrature this usually means that less nodes are placed at the tails of the distribution.} -\item{adaptive.frequency}{How often should the quasi-adaptive quadrature be calculated? Defaults to 3, meaning +\item{adaptive.frequency}{How often should the quasi-adaptive quadrature be calculated? Defaults to 3, meaning that it is recalculated every third EM-iteration.} \item{adaptive.quad.tol}{Relative error tolerance for quasi adaptive quadrature. Defaults to \code{1e-12}.} @@ -185,7 +185,7 @@ If an integer is specified, it will use that number of threads (e.g., \code{n.th If \code{"default"}, it will use the default number of threads (2). If \code{"max"}, it will use all available threads, \code{"min"} will use 1 thread.} -\item{algorithm}{algorithm to use for the EM algorithm. Can be either \code{"EM"} or \code{"EMA"}. +\item{algorithm}{algorithm to use for the EM algorithm. Can be either \code{"EM"} or \code{"EMA"}. \code{"EM"} is the standard EM algorithm. \code{"EMA"} is an accelerated EM procedure that uses Quasi-Newton and Fisher Scoring optimization steps when needed. Default is \code{"EM"}.} @@ -203,35 +203,35 @@ as the \code{choose} argument.} reliability-corrected single items are corrected for differences in factor loadings between the items. Default is \code{TRUE}.} -\item{orthogonal.x}{If \code{TRUE}, all covariances among exogenous latent variables only are set to zero. +\item{orthogonal.x}{If \code{TRUE}, all covariances among exogenous latent variables only are set to zero. Default is \code{FALSE}.} -\item{orthogonal.y}{If \code{TRUE}, all covariances among endogenous latent variables only are set to zero. -If \code{FALSE} residual covariances are added between pure endogenous variables; +\item{orthogonal.y}{If \code{TRUE}, all covariances among endogenous latent variables only are set to zero. +If \code{FALSE} residual covariances are added between pure endogenous variables; those that are predicted by no other endogenous variable in the structural model. Default is \code{FALSE}.} -\item{auto.fix.first}{If \code{TRUE} the factor loading of the first indicator, for +\item{auto.fix.first}{If \code{TRUE} the factor loading of the first indicator, for a given latent variable is fixed to \code{1}. If \code{FALSE} no loadings are fixed (automatically). Note that that this might make it such that the model no longer is -identified. Default is \code{TRUE}. \strong{NOTE} this behaviour is overridden +identified. Default is \code{TRUE}. \strong{NOTE} this behaviour is overridden if the first loading is labelled, where it gets treated as a free parameter instead. This differs from the default behaviour in \code{lavaan}.} -\item{auto.fix.single}{If \code{TRUE}, the residual variance of +\item{auto.fix.single}{If \code{TRUE}, the residual variance of an observed indicator is set to zero if it is the only indicator of a latent variable. If \code{FALSE} the residual variance is not fixed to zero, and treated as a free parameter -of the model. Default is \code{TRUE}. \strong{NOTE} this behaviour is overridden +of the model. Default is \code{TRUE}. \strong{NOTE} this behaviour is overridden if the first loading is labelled, where it gets treated as a free parameter instead.} -\item{auto.split.syntax}{Should the model syntax automatically be split into a -linear and non-linear part? This is done by moving the structural model for +\item{auto.split.syntax}{Should the model syntax automatically be split into a +linear and non-linear part? This is done by moving the structural model for linear endogenous variables (used in interaction terms) into the \code{cov.syntax} argument. This can potentially allow interactions between two endogenous variables -given that both are linear (i.e., not affected by interaction terms). This is +given that both are linear (i.e., not affected by interaction terms). This is \code{FALSE} by default for the LMS approach. -When using the QML approach interation effects between exogenous and endogenous -variables can in some cases be biased, if the model is not split beforehand. +When using the QML approach interation effects between exogenous and endogenous +variables can in some cases be biased, if the model is not split beforehand. The default is therefore \code{TRUE} for the QML approach.} \item{...}{additional arguments to be passed to the estimation function.} diff --git a/man/modsem_inspect.Rd b/man/modsem_inspect.Rd index b206560c..b2e3abe9 100644 --- a/man/modsem_inspect.Rd +++ b/man/modsem_inspect.Rd @@ -38,24 +38,24 @@ measures from a \code{\link{modsem_da}} object. } \details{ For \code{\link{modsem_pi}} objects, it is just a wrapper for \code{lavaan::lavInspect}. - For \code{\link{modsem_da}} objects an internal function is called, which takes different + For \code{\link{modsem_da}} objects an internal function is called, which takes different keywords for the \code{what} argument. Below is a list of possible values for the \code{what} argument, organised in several sections. Keywords are \emph{case-sensitive}. -\strong{Presets} +\strong{Presets} \describe{ \item{\code{"default"}}{Everything in \emph{Sample information}, \emph{Optimiser diagnostics} - \emph{Parameter tables}, \emph{Model matrices}, and \emph{Expected-moment matrices} except + \emph{Parameter tables}, \emph{Model matrices}, and \emph{Expected-moment matrices} except the raw \code{data} slot} - \item{\code{"coef"}}{Coefficients and variance-covariance matrix of both free and constrained parameters (same as \code{"coef.all"}).} - \item{\code{"coef.all"}}{Coefficients and variance-covariance matrix of both free and constrained parameters (same as \code{"coef"}).} - \item{\code{"coef.free"}}{Coefficients and variance-covariance matrix of the free parameters.} - \item{\code{"all"}}{All items listed below, including \code{data}.} - \item{\code{"matrices"}}{The model matrices.} - \item{\code{"optim"}}{Only the items under \emph{Optimiser diagnostics}}. + \item{\code{"coef"}}{Coefficients and variance-covariance matrix of both free and constrained parameters (same as \code{"coef.all"}).} + \item{\code{"coef.all"}}{Coefficients and variance-covariance matrix of both free and constrained parameters (same as \code{"coef"}).} + \item{\code{"coef.free"}}{Coefficients and variance-covariance matrix of the free parameters.} + \item{\code{"all"}}{All items listed below, including \code{data}.} + \item{\code{"matrices"}}{The model matrices.} + \item{\code{"optim"}}{Only the items under \emph{Optimiser diagnostics}}. \item{\code{"fit"}}{A list with \code{fit.h0}, \code{fit.h1}, comparative.fit} } @@ -74,7 +74,7 @@ organised in several sections. Keywords are \emph{case-sensitive}. \item{\code{"vcov.all"}}{Variance–covariance of both free and constrained coefficients.} } -\strong{Optimiser diagnostics:} +\strong{Optimiser diagnostics:} \describe{ \item{\code{"coefficients.free"}}{Free parameter values.} @@ -85,7 +85,7 @@ organised in several sections. Keywords are \emph{case-sensitive}. \item{\code{"convergence"}}{\code{TRUE}/\code{FALSE} indicating whether the model converged.} } -\strong{Parameter tables:} +\strong{Parameter tables:} \describe{ \item{\code{"partable"}}{Parameter table with estimated parameters.} @@ -107,13 +107,13 @@ organised in several sections. Keywords are \emph{case-sensitive}. \item{\code{"alpha"}}{\eqn{\alpha} – Intercepts for endogenous variables} \item{\code{"beta0"}}{\eqn{\beta_0} – Intercepts for exogenous variables} } -\strong{Model-implied matrices:} +\strong{Model-implied matrices:} \describe{ - \item{\code{"cov.ov"}}{Model-implied covariance of observed variables.} + \item{\code{"cov.ov"}}{Model-implied covariance of observed variables.} \item{\code{"cov.lv"}}{Model-implied covariance of latent variables.} \item{\code{"cov.all"}}{Joint covariance of observed + latent variables.} - \item{\code{"cor.ov"}}{Correlation counterpart of \code{"cov.ov"}.} + \item{\code{"cor.ov"}}{Correlation counterpart of \code{"cov.ov"}.} \item{\code{"cor.lv"}}{Correlation counterpart of \code{"cov.lv"}.} \item{\code{"cor.all"}}{Correlation counterpart of \code{"cov.all"}.} \item{\code{"mean.ov"}}{Expected means of observed variables.} @@ -132,13 +132,13 @@ organised in several sections. Keywords are \emph{case-sensitive}. \item{\code{"res.ov"}}{Standardized residuals (i.e., \code{1 - R^2}) for observed variables (i.e., indicators).} } -\strong{Interaction-specific caveats:} +\strong{Interaction-specific caveats:} \itemize{ \item If the model contains an \emph{uncentred} latent interaction term it is centred internally before any \code{cov.*}, \code{cor.*}, or \code{mean.*} matrices are - calculated. - \item These matrices should not be used to compute fit-statistics (e.g., + calculated. + \item These matrices should not be used to compute fit-statistics (e.g., chi-square and RMSEA) if there is an interaction term in the model. } } diff --git a/man/modsem_mimpute.Rd b/man/modsem_mimpute.Rd index 802b4d1f..e7eedae6 100644 --- a/man/modsem_mimpute.Rd +++ b/man/modsem_mimpute.Rd @@ -47,7 +47,7 @@ but can also be (a lot) slower.} Estimate a \code{modsem} model using multiple imputation } \details{ -\code{modsem_impute} is currently only available for the DA approaches +\code{modsem_impute} is currently only available for the DA approaches (LMS and QML). It performs multiple imputation using \code{Amelia::amelia} and returns aggregated coefficients from the multiple imputations, along with corrected standard errors. diff --git a/man/modsem_mplus.Rd b/man/modsem_mplus.Rd index 352e789b..38e50295 100644 --- a/man/modsem_mplus.Rd +++ b/man/modsem_mplus.Rd @@ -61,7 +61,7 @@ m1 <- ' # Outer Model X =~ x1 + x2 Z =~ z1 + z2 - Y =~ y1 + y2 + Y =~ y1 + y2 # Inner model Y ~ X + Z + X:Z diff --git a/man/modsem_pi.Rd b/man/modsem_pi.Rd index 9809d5aa..4e365658 100644 --- a/man/modsem_pi.Rd +++ b/man/modsem_pi.Rd @@ -56,7 +56,7 @@ modsem_pi( \item{match}{should the product indicators be created by using the match-strategy} -\item{match.recycle}{should the indicators be recycled when using the match-strategy? I.e., +\item{match.recycle}{should the indicators be recycled when using the match-strategy? I.e., if one of the latent variables have fewer indicators than the other, some indicators are recycled to match the latent variable with the most indicators.} @@ -64,7 +64,7 @@ are recycled to match the latent variable with the most indicators.} \item{center.data}{should data be centered before fitting model} -\item{first.loading.fixed}{Should the first factor loading in the latent product be fixed to one? Defaults to \code{FALSE}, as +\item{first.loading.fixed}{Should the first factor loading in the latent product be fixed to one? Defaults to \code{FALSE}, as this already happens in \code{lavaan} by default. If \code{TRUE}, the first factor loading in the latent product is fixed to one. Manually in the generated syntax (e.g., \code{XZ =~ 1*x1z1}).'} @@ -89,17 +89,17 @@ Manually in the generated syntax (e.g., \code{XZ =~ 1*x1z1}).'} \item{"equality"}{Residuals of product indicators with variables in common are constrained to have equal covariances". Can be useful for models where the model is unidentifiable using \code{res.cov.method == "simple"}, (e.g., when there is an interaction between an observed and a latent variable).} - \item{"none"}{Residual covariances between product indicators are not specificed (i.e., constrained to zero). + \item{"none"}{Residual covariances between product indicators are not specificed (i.e., constrained to zero). Produces the same results as \code{constrained.cov.syntax = FALSE}. Can be useful for models where the model is unidentifiable using \code{res.cov.method == "simple"}, (e.g., when there is an interaction between an observed and a latent variable).} }} \item{res.cov.across}{Should residual covariances be specified/freed across different interaction terms. -For example if you have two interaction terms \code{X:Z} and \code{X:W} the residuals of the -generated product indicators \code{x1:z1} and \code{x1:w1} may be correlated. If \code{TRUE} -residual covariances are allowed across different latent interaction terms. If \code{FALSE} -residual covariances are only allowed between product indicators which belong to the same +For example if you have two interaction terms \code{X:Z} and \code{X:W} the residuals of the +generated product indicators \code{x1:z1} and \code{x1:w1} may be correlated. If \code{TRUE} +residual covariances are allowed across different latent interaction terms. If \code{FALSE} +residual covariances are only allowed between product indicators which belong to the same latent interaction term.} \item{auto.scale}{methods which should be scaled automatically (usually not useful)} @@ -132,7 +132,7 @@ as the \code{choose} argument.} created from the reliability-corrected single items (created if \code{rcs = TRUE}) be specified and constrained before estimating the model? If \code{TRUE} the estimates for the constraints are approximated using a monte carlo simulation (see the \code{rcs.mc.reps} argument). -If \code{FALSE} the residual variances are not specified, which usually mean that all +If \code{FALSE} the residual variances are not specified, which usually mean that all are constrained to zero.} \item{rcs.mc.reps}{Sample size used in monte-carlo simulation, when approximating the diff --git a/man/modsem_predict.Rd b/man/modsem_predict.Rd index 50b6816b..b027aea1 100644 --- a/man/modsem_predict.Rd +++ b/man/modsem_predict.Rd @@ -1,10 +1,8 @@ % Generated by roxygen2: do not edit by hand -% Please edit documentation in R/generics.R, R/generics_modsem_da.R, -% R/generics_modsem_pi.R +% Please edit documentation in R/generics.R, R/generics_modsem_da.R \name{modsem_predict} \alias{modsem_predict} \alias{modsem_predict.modsem_da} -\alias{modsem_predict.modsem_pi} \title{Predict From \code{modsem} Models} \usage{ modsem_predict(object, ...) @@ -17,8 +15,6 @@ modsem_predict(object, ...) center.data = TRUE, ... ) - -\method{modsem_predict}{modsem_pi}(object, ...) } \arguments{ \item{object}{\code{\link{modsem_da}} object} @@ -36,7 +32,7 @@ If \code{FALSE}, use the model specified in \code{object}. Using \code{H0 = FALS \item{center.data}{Should data be centered before computing factor scores? Default is \code{TRUE}.} } \value{ -* For \code{\link{modsem_pi}}: whatever \code{lavaan::predict()}, which usually +* For \code{\link{modsem_pi}}: whatever \code{lavaan::predict()}, which usually returns a matrix of factor scores. * For \code{\link{modsem_da}}: a numeric matrix \eqn{n \times p}, where \eqn{n} is the number of (complete) observations in the dataset, and \eqn{p} the number of latent variables. Each @@ -52,8 +48,6 @@ values or factor scores from \code{\link{modsem}} models. \item \code{modsem_predict(modsem_da)}: Computes (optionally standardised) factor scores via the regression method using the baseline model unless \code{H0 = FALSE}. -\item \code{modsem_predict(modsem_pi)}: - }} \examples{ m1 <- ' diff --git a/man/plot_interaction.Rd b/man/plot_interaction.Rd index 8915bd23..d394d37a 100644 --- a/man/plot_interaction.Rd +++ b/man/plot_interaction.Rd @@ -45,7 +45,7 @@ separate regression lines. Each distinct value in \code{vals_z} defines a separa group (plotted with a different color). If \code{rescale=TRUE}, these values are also assumed to be in standardized units.} -\item{model}{An object of class \code{\link{modsem_pi}}, \code{\link{modsem_da}}, +\item{model}{An object of class \code{\link{modsem_pi}}, \code{\link{modsem_da}}, \code{\link{modsem_mplus}}, or possibly a \code{lavaan} object. Must be a fitted SEM model containing paths for \code{y ~ x + z + x:z}.} diff --git a/man/plot_jn.Rd b/man/plot_jn.Rd index 7a99fd4f..3751af22 100644 --- a/man/plot_jn.Rd +++ b/man/plot_jn.Rd @@ -41,7 +41,7 @@ plot_jn( \item{detail}{The number of generated data points to use for the plot (default is 1000). You can increase this value for smoother plots.} -\item{sd.line}{A thick black line showing \code{+/- sd.line * sd(z)}. NOTE: This line will be truncated by \code{min_z} and \code{max_z} if +\item{sd.line}{A thick black line showing \code{+/- sd.line * sd(z)}. NOTE: This line will be truncated by \code{min_z} and \code{max_z} if the sd.line falls outside of \code{[min_z, max_z]}.} \item{standardized}{Should coefficients be standardized beforehand?} @@ -72,8 +72,8 @@ The plot displays: \dontrun{ library(modsem) -m1 <- ' - visual =~ x1 + x2 + x3 +m1 <- ' + visual =~ x1 + x2 + x3 textual =~ x4 + x5 + x6 speed =~ x7 + x8 + x9 diff --git a/man/set_modsem_colors.Rd b/man/set_modsem_colors.Rd index 013205e0..87e881de 100644 --- a/man/set_modsem_colors.Rd +++ b/man/set_modsem_colors.Rd @@ -43,10 +43,10 @@ All arguments are optional; omitted ones fall back to the defaults below. Pass \code{active = FALSE} to turn highlighting off (and reset the palette). } \examples{ -set_modsem_colors(positive = "red3", +set_modsem_colors(positive = "red3", negative = "red3", - true = "darkgreen", - false = "red3", + true = "darkgreen", + false = "red3", na = "purple", string = "darkgreen") @@ -71,8 +71,8 @@ colorize_output(split = TRUE, { est_lms <- modsem(m1, data = oneInt, method = "lms") summary(est_lms) -}) - +}) + colorize_output(modsem_inspect(est_lms)) } } diff --git a/man/simple_slopes.Rd b/man/simple_slopes.Rd index 2b9f7d99..5e386684 100644 --- a/man/simple_slopes.Rd +++ b/man/simple_slopes.Rd @@ -96,29 +96,29 @@ hypothesis testing. This is useful for visualizing and interpreting moderation effects or to see how the slope changes at different values of the moderator. } \details{ -\strong{Computation Steps} +\strong{Computation Steps} \enumerate{ \item The function extracts parameter estimates (and, if necessary, their covariance - matrix) from the fitted SEM model (\code{model}). + matrix) from the fitted SEM model (\code{model}). \item It identifies the coefficients for \code{x}, \code{z}, and \code{x:z} in the model's parameter table, as well as the variance of \code{x}, \code{z} and the residual variance of \code{y}. \item If \code{xz} is not provided, it will be constructed by combining \code{x} and - \code{z} with a colon (\code{":"}). Depending on the approach used to estimate the model, - the colon may be removed or replaced internally; the function attempts to reconcile that. + \code{z} with a colon (\code{":"}). Depending on the approach used to estimate the model, + the colon may be removed or replaced internally; the function attempts to reconcile that. \item A grid of \code{x} and \code{z} values is created from \code{vals_x} and \code{vals_z}. If \code{rescale = TRUE}, these values are transformed back into raw - metric units for display in the output. + metric units for display in the output. \item For each point in the grid, a predicted value of \code{y} is computed via \code{(beta0 + beta_x * x + beta_z * z + beta_xz * x * z)} and, if included, a - mean offset. + mean offset. \item The standard error (\code{std.error}) is derived from the covariance matrix of the relevant parameters, and if \code{ci_type = "prediction"}, adds the residual - variance. + variance. \item Confidence (or prediction) intervals are formed using \code{ci_width} (defaulting to 95\%). The result is a table-like data frame with predicted values, CIs, - standard errors, z-values, and p-values. + standard errors, z-values, and p-values. } } \examples{ diff --git a/man/standardize_model.Rd b/man/standardize_model.Rd index e39f476a..44a24934 100644 --- a/man/standardize_model.Rd +++ b/man/standardize_model.Rd @@ -21,7 +21,7 @@ Ignored if \code{monte.carlo = FALSE}.} \item{...}{Arguments passed on to other functions} } \value{ -The same object (returned invisibly) with three slots overwritten +The same object (returned invisibly) with three slots overwritten \describe{ \item{\code{$parTable}}{Parameter table whose columns \code{est} and \code{std.error} now hold standardized estimates and their (delta-method) @@ -31,7 +31,7 @@ The same object (returned invisibly) with three slots overwritten variable has mean 0 by definition.} \item{\code{$vcov}}{Variance–covariance matrix corresponding to the updated coefficient vector. Rows/columns for intercepts are dropped, and - the sub-matrix associated with rescaled parameters is adjusted + the sub-matrix associated with rescaled parameters is adjusted so that its diagonal equals the squared standardized standard errors.} } The object keeps its class attributes, allowing seamless use by downstream @@ -63,7 +63,7 @@ sfit <- standardize_model(fit, monte.carlo = TRUE) # Compare unstandardized vs. standardized summaries summary(fit) # unstandardized -summary(sfit) # standardized +summary(sfit) # standardized } } diff --git a/man/standardized_estimates.Rd b/man/standardized_estimates.Rd index b13b3270..e6e40ed7 100644 --- a/man/standardized_estimates.Rd +++ b/man/standardized_estimates.Rd @@ -27,7 +27,7 @@ standardized_estimates(object, ...) ... ) -\method{standardized_estimates}{modsem_mplus}(object, type = "stdyx", ...) +\method{standardized_estimates}{modsem_mplus}(object, type = "stdyx", mc.reps = 1e+06, ...) \method{standardized_estimates}{modsem_pi}( object, @@ -51,20 +51,20 @@ standard errors; if \code{FALSE}, use the delta method (default).} \item{tolerance.zero}{Threshold below which standard errors are set to \code{NA}.} -\item{type}{Type of standardized estimates to retrieve. Can be one of: \code{"stdyx", "stdy", "std", "un"}.} +\item{type}{Type of standardized estimates to retrieve. Can be one of: \code{"stdyx", "stdy", "std", "un", "modsem"}.} \item{correction}{Logical. Whether to apply a correction to the standardized estimates of the interaction term. By default, \code{FALSE}, which standardizes the interaction term such that \eqn{\sigma^2(XZ) = 1}, consistent with \code{lavaan}'s treatment of latent interactions. This is usually wrong, as it does not account for the fact that the interaction term is a product of two variables, which means that the variance of the interaction term -of standardized variables (usually) is not equal to 1. +of standardized variables (usually) is not equal to 1. -Hence the scale of the interaction effect changes, such that -the standardized interaction term does not correspond to one (standardized) unit -change in the moderating variables. If \code{TRUE}, a correction is applied by -computing the interaction term \eqn{b_3 = \frac{B_3 \sigma(X) \sigma(Z)}{\sigma(Y)}} (where -\eqn{B_3} is the unstandardized coefficient for the interaction term), and solving for \eqn{\sigma(XZ)}, which +Hence the scale of the interaction effect changes, such that +the standardized interaction term does not correspond to one (standardized) unit +change in the moderating variables. If \code{TRUE}, a correction is applied by +computing the interaction term \eqn{b_3 = \frac{B_3 \sigma(X) \sigma(Z)}{\sigma(Y)}} (where +\eqn{B_3} is the unstandardized coefficient for the interaction term), and solving for \eqn{\sigma(XZ)}, which is used to correct the variance of the interaction term, and its covariances.} \item{std.errors}{Character string indicating the method used to compute standard errors @@ -90,11 +90,11 @@ Computes standardized estimates of model parameters for various types of \code{\ \details{ Standard errors can either be calculated using the delta method, or a monte.carlo simulation (\code{monte.carlo} is not available for \code{\link{modsem_pi}} objects if \code{correction == FALSE}.). - \strong{NOTE} that the standard errors of the standardized paramters change the assumptions of the + \strong{NOTE} that the standard errors of the standardized paramters change the assumptions of the model, and will in most cases yield different z and p-values, compared to the unstandardized solution. In almost all cases, significance testing should be based on the unstandardized solution. Since, the standardization process changes the model assumptions, it also changes what the p-statistics measure. - I.e., the test statistics for the standardized and unstandardized solutions belong to different sets of + I.e., the test statistics for the standardized and unstandardized solutions belong to different sets of hypothesis, which are not exactly equivalent to each other. For \code{modsem_da} and \code{modsem_mplus} objects, the interaction term is not a formal diff --git a/man/summarize_partable.Rd b/man/summarize_partable.Rd index 047f5520..33b0e37a 100644 --- a/man/summarize_partable.Rd +++ b/man/summarize_partable.Rd @@ -17,7 +17,7 @@ summarize_partable( ) } \arguments{ -\item{parTable}{A parameter table, typically obtained from a \code{\link{modsem}} model +\item{parTable}{A parameter table, typically obtained from a \code{\link{modsem}} model using \code{\link{parameter_estimates}} or \code{\link{standardized_estimates}}.} \item{scientific}{Logical, whether to print p-values in scientific notation.} diff --git a/man/summary.Rd b/man/summary.Rd index 656252b6..42ea9d38 100644 --- a/man/summary.Rd +++ b/man/summary.Rd @@ -57,7 +57,7 @@ \arguments{ \item{object}{modsem object to summarized} -\item{H0}{Should the baseline model be estimated, and used to produce +\item{H0}{Should the baseline model be estimated, and used to produce comparative fit?} \item{verbose}{Should messages be printed?} @@ -76,10 +76,10 @@ comparative fit?} \item{centered}{print mean centered estimates} -\item{monte.carlo}{should Monte Carlo bootstrapped standard errors be used? Only +\item{monte.carlo}{should Monte Carlo bootstrapped standard errors be used? Only relevant if \code{standardized = TRUE}. If \code{FALSE} delta method is used instead.} -\item{mc.reps}{number of Monte Carlo repetitions. Only relevant if \code{monte.carlo = TRUE}, +\item{mc.reps}{number of Monte Carlo repetitions. Only relevant if \code{monte.carlo = TRUE}, and \code{standardized = TRUE}.} \item{loadings}{print loadings} @@ -92,7 +92,7 @@ and \code{standardized = TRUE}.} \item{variances}{print variances} -\item{var.interaction}{if FALSE variances for interaction terms will be removed +\item{var.interaction}{if FALSE variances for interaction terms will be removed from the output} \item{...}{arguments passed to lavaan::summary()} diff --git a/optimized_interaction_model.rds b/optimized_interaction_model.rds new file mode 100644 index 0000000000000000000000000000000000000000..4dc17207d00a586455c0c3029a5f2cdc1329f318 GIT binary patch literal 1247322 zcmV)oK%BoHiwFP!000001MFP~U=&67KSD7S;ZV@nPect!xl0et1UN__z>x%uB5p2s zo8;gccb5>F25S(}*s;fsJ$CG|V~-vGw%GH1w%B9kKeO}p?(N)8a%p@Rh#tH9+u1ko zy?OKIP1)I^K?Z}Nuc2SxK8C*i$*H0LqQY6@GYozD9$+x^iz7fELqEenavbFGIc2xx zwR>c8WyE*vUY}P|ZtFkeApaT+aqJlby)&X=;zZM@7gg^j{|_S4lE0wrk=*u>>BpRct3YE)5b3SK< zBV=*~O_j1E^Cwf;f_9JJEh{qd3FayZjv%1Z<**a=1fxhuMY#o#>ea`O4w@3>Dj!jkuOev5 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zXSrlhiA?_FP!k2BFLK0Mkv+-aQTdE3fxeP>)eJWZ!R`d!2Xe^H)y)%FKoS z=`-z?-m>oGMt}=-QFHSQ-W*&$&p$)?M1C-T-(VRn-A7J?60rJXOyQWHfPgPW0={m) jecKs&^zEWb-p`1yNdfT-T!xI@Kv4b@?K(b!?_fLtTZbM$ literal 0 HcmV?d00001 diff --git a/test_bayesian.R b/test_bayesian.R index 16e230ff..99b75b4f 100644 --- a/test_bayesian.R +++ b/test_bayesian.R @@ -1,3 +1,9 @@ +devtools::load_all() +library(rstan) +rstan_options(auto_write = TRUE) # cache compiled models +options(mc.cores = parallel::detectCores()) + + stan.syntax <- ' // sem_latent_interaction.stan (updated) // SEM with three latent factors (X, Z, Y) and latent interaction X×Z → Y @@ -416,3 +422,249 @@ stan_trace(fit, "beta_XZ") stan_trace(fit, "beta_Z") + +stan.syntax.3way <- ' +// sem_latent_interaction.stan (updated) +// SEM with three latent factors (X, Z, Y) and latent interaction X×Z → Y +// Identification: first loading fixed to 1; *latent means constrained to 0*. +// All nine indicator intercepts τ are now free. + +functions { + // empirical covariance helper (for generated quantities) + real cov_vector(vector a, vector b) { + return (dot_self(a - mean(a)))/(num_elements(a)-1); + } +} + +data { + int N; // sample size + matrix[N, 12] Y; // observed indicators (x1–x3, z1–z3, y1–y3) +} + +parameters { + //-------------------------------------- + // Measurement part + //-------------------------------------- + vector[2] lambda_x; // loadings: x2, x3 + vector[2] lambda_z; // loadings: z2, z3 + vector[2] lambda_w; // loadings: w2, w3 + vector[2] lambda_y; // loadings: y2, y3 + + vector[12] tau; // ALL indicator intercepts free + vector[12] sigma_e; // residual SDs + + //-------------------------------------- + // Latent part + //-------------------------------------- + real sigma_X; + real sigma_Z; + real sigma_W; + real sigma_Y; + + real beta_X; // structural slopes + real beta_Z; + real beta_W; + real beta_XZ; + real beta_XW; + real beta_ZW; + real beta_XZW; + + vector[N] X; // person‑level latent scores + vector[N] Z; + vector[N] W; + vector[N] Y_lat; // endogenous latent Y +} + +transformed parameters { + vector[N] XZ = X .* Z; // latent interaction term + vector[N] XW = X .* W; // latent interaction term + vector[N] ZW = Z .* W; // latent interaction term + vector[N] XZW = X .* ZW; // latent interaction term +} + +model { + //-------------------------------------- + // Priors + //-------------------------------------- + // lambda_x ~ normal(1, 1); + // lambda_z ~ normal(1, 1); + // lambda_y ~ normal(1, 1); + + // tau ~ normal(0, 2); + + // sigma_X ~ exponential(1); + // sigma_Z ~ exponential(1); + // sigma_Y ~ exponential(1); + // sigma_e ~ exponential(1); + + // beta_X ~ normal(0, 1); + // beta_Z ~ normal(0, 1); + // beta_XZ ~ normal(0, 1); + + //-------------------------------------- + // Latent variable distributions (means fixed to 0) + //-------------------------------------- + X ~ normal(0, sigma_X); + Z ~ normal(0, sigma_Z); + W ~ normal(0, sigma_W); + Y_lat ~ normal(beta_X * X + + beta_Z * Z + + beta_W * W + + beta_XZ * XZ + + beta_XW * XW + + beta_ZW * ZW + + beta_XZW * XZW, + sigma_Y); + + //-------------------------------------- + // Measurement model + //-------------------------------------- + // X indicators + Y[,1] ~ normal(tau[1] + X, sigma_e[1]); // x1 (λ fixed = 1) + Y[,2] ~ normal(tau[2] + lambda_x[1] * X, sigma_e[2]); // x2 + Y[,3] ~ normal(tau[3] + lambda_x[2] * X, sigma_e[3]); // x3 + + // Z indicators + Y[,4] ~ normal(tau[4] + Z, sigma_e[4]); // z1 (λ fixed = 1) + Y[,5] ~ normal(tau[5] + lambda_z[1] * Z, sigma_e[5]); // z2 + Y[,6] ~ normal(tau[6] + lambda_z[2] * Z, sigma_e[6]); // z3 + + // W indicators + Y[,7] ~ normal(tau[7] + W, sigma_e[7]); // y1 (λ fixed = 1) + Y[,8] ~ normal(tau[8] + lambda_w[1] * W, sigma_e[8]); // y2 + Y[,9] ~ normal(tau[9] + lambda_w[2] * W, sigma_e[9]); // y3 + + // Y indicators + Y[,10] ~ normal(tau[10] + Y_lat, sigma_e[10]); // y1 (λ fixed = 1) + Y[,11] ~ normal(tau[11] + lambda_y[1] * Y_lat[n], sigma_e[11]); // y2 + Y[,12] ~ normal(tau[12] + lambda_y[2] * Y_lat[n], sigma_e[12]); // y3 +} + +generated quantities { + real cov_XZ = cov_vector(X, Z); + real cov_XW = cov_vector(X, W); + real cov_ZW = cov_vector(Z, W); +} +' + + +model <- rstan::stan_model(model_code = stan.syntax) +Y <- oneInt[c("x1", "x2", "x3", + "z1", "z2", "z3", + "y1", "y2", "y3")] +stan_data <- list( + N = nrow(Y), + Y = Y +) + +fit <- sampling( + object = model, + data = stan_data, + chains = 2, + iter = 2000, + warmup = 1000 +) + +summary(fit, c("beta_X", "beta_Z", "beta_XZ")) +stan_rhat(fit) +stan_trace(fit, "beta_X") +stan_trace(fit, "beta_XZ") +stan_trace(fit, "beta_Z") + + +set.seed(29723234) + +n <- 2000 +Sigma <- matrix(c( + 1.2, 0.7, 0.8, + 0.7, 1.8, 0.6, + 0.8, 0.6, 1.4 +), nrow = 3) + + +XI <- rmvnorm(n, sigma = Sigma) + +X <- XI[, 1] +Z <- XI[, 2] +W <- XI[, 3] + +Y <- 1.2 * X + 0.4 * Z + 0.7 * W + + 0.2 * W * Z + + 0.7 * W * X + + 1.2 * X * Z + + 2.2 * X * Z * W + rnorm(n, sd = sqrt(2)) + +createInd <- \(x, lambda, epsilon = 0.2) lambda * x + rnorm(n, sd = sqrt(epsilon)) + + +x1 <- createInd(X, 1) +x2 <- createInd(X, 0.8) +x3 <- createInd(X, 0.9) + +z1 <- createInd(Z, 1) +z2 <- createInd(Z, 0.8) +z3 <- createInd(Z, 0.9) + +w1 <- createInd(W, 1) +w2 <- createInd(W, 0.8) +w3 <- createInd(W, 0.9) + +y1 <- createInd(Y, 1) +y2 <- createInd(Y, 0.8) +y3 <- createInd(Y, 0.9) + +data.3way <- data.frame(x1, x2, x3, + z1, z2, z3, + w1, w2, w3, + y1, y2, y3) +m.3way <- ' + X =~ x1 + x2 + x3 + Z =~ z1 + z2 + z3 + W =~ w1 + w2 + w3 + Y =~ y1 + y2 + y3 + + Y ~ X + Z + W + X:Z + X:W + Z:W + X:Z:W + # True values are + # Y ~ 1.2 * X + + # 0.4 * Z + + # 0.7 * W + + # 1.2 * X:Z + + # 0.7 * X:W + + # 0.2 * Z:W + + # 2.2 * X:Z:W + +' + + +model <- rstan::stan_model(model_code = stan.syntax.3way) +Y <- data.3way[c("x1", "x2", "x3", + "z1", "z2", "z3", + "w1", "w2", "w3", + "y1", "y2", "y3")] +stan_data <- list( + N = nrow(Y), + Y = Y +) + +fit <- sampling( + object = model, + data = stan_data, + chains = 2, + iter = 5000, + warmup = 3000 +) + +beta <- c("beta_X", "beta_Z", "beta_W", + "beta_XZ", "beta_XW", "beta_ZW", + "beta_XZW") +lambda <- c("lambda_x", "lambda_z", + "lambda_w", "lambda_y") +sigma_e <- c("sigma_e") +sigma <- c("sigma_X", "sigma_Z", "sigma_W", "sigma_Y") +tau <- c("tau") +pars <- c(lambda, beta, sigma, sigma_e, tau) +summary(fit, pars) +stan_rhat(fit) +stan_trace(fit, pars) +stan_trace(fit, "beta_XZ") +stan_trace(fit, "beta_Z") + diff --git a/test_bayesian_full.R b/test_bayesian_full.R index 388d4703..a5d02fca 100644 --- a/test_bayesian_full.R +++ b/test_bayesian_full.R @@ -6,444 +6,6 @@ library(rstan) rstan_options(auto_write = TRUE) # cache compiled models options(mc.cores = parallel::detectCores()) -stan.syntax <- " -// sem_latent_interaction.stan (updated) -// SEM with three latent factors (X, Z, Y) and latent interaction X×Z → Y -// Identification: first loading fixed to 1; *latent means constrained to 0*. -// All nine indicator intercepts τ are now free. - -functions { - vector getIthProduct(int i, int N_LVS, int N, matrix PRODUCTS, matrix ETA) { - - vector[N] product = rep_vector(0, N); - - int firstFound = 0; - for (j in 1:N_LVS) { - - if (PRODUCTS[i, j]) { - - if (!firstFound) { - product = ETA[, j]; - firstFound = 1; - - } else { - product = product .* ETA[, j]; - } - } - } - - return product; - } -} - - -data { - int N; // Sample size - int K; // Number of indicators - int N_XIS; // Number of xis - int N_ETAS; // Number of etas - int N_LVS; // Number of lVs - int N_INT; // Number of interaction terms - - matrix[K, N_LVS] LAMBDA; // Structure of measurement model - matrix[N_ETAS, N_LVS] GAMMA; // Structure of structural model - matrix[N_ETAS, N_INT] OMEGA; // Structure of interaction-coefficients - matrix[N_INT, N_LVS] PRODUCTS; // Structure of interaction terms - - matrix[N_LVS, N_LVS] PSI; // Structure of latent covariances - matrix[K, K] THETA; // Structure of indicator covariances - vector[K] TAU; // Structure of indicator intercepts - vector[N_LVS] ALPHA; // Structure of LV intercepts - - int N_FREE_LAMBDA; // sum(abs(LAMBDA)) - int N_FREE_GAMMA; // sum(abs(GAMMA)) - int N_FREE_OMEGA; - - int N_FREE_DIAG_THETA; // sum(abs(diag(THETA))) - int N_FREE_LOWER_THETA; // sum(abs(THETA[is.lower(THETA)])) - - int N_FREE_DIAG_PSI; // sum(abs(diag(PSI))) - int N_FREE_LOWER_PSI; // sum(abs(GAMMA[is.lower(GAMMA)])) - - int N_FREE_TAU; // sum(abs(TAU)) - int N_FREE_ALPHA; // sum(abs(ALPHA)) - - // Observed Data - matrix[N, K] Y; -} - - -parameters { - // Measurement model - vector[N_FREE_LAMBDA] lambda; - vector[N_FREE_TAU] tau; - vector[N_FREE_DIAG_THETA] theta_d; - vector[N_FREE_LOWER_THETA] theta_l; - - // Structural model - vector[N_FREE_GAMMA] gamma; - vector[N_FREE_ALPHA] alpha; - vector[N_FREE_OMEGA] omega; - vector[N_FREE_DIAG_PSI] psi_d; - vector[N_FREE_LOWER_PSI] psi_l; - - // LVs - matrix[N, N_LVS] XI; - - // Indicator disturbances - // matrix[N, K] EPSILON; -} - - -transformed parameters { - // Declare matrices - matrix[K, N_LVS] Lambda; // Structure of measurement model - matrix[N_ETAS, N_LVS] Gamma; // Structure of structural model - matrix[N_ETAS, N_INT] Omega; - - matrix[N_LVS, N_LVS] Psi; // Structure of latent covariances - matrix[K, K] Theta; // Structure of indicator covariances - vector[K] Tau; // Structure of indicator intercepts - vector[N_LVS] Alpha; // Structure of LV intercepts - - // Fill Matrices - Lambda = rep_matrix(0, K, N_LVS); - Gamma = rep_matrix(0, N_ETAS, N_LVS); - Omega = rep_matrix(0, N_ETAS, N_INT); - Theta = rep_matrix(0, K, K); - Psi = rep_matrix(0, N_LVS, N_LVS); - Tau = rep_vector(0, K); - Alpha = rep_vector(0, N_LVS); - - { - // Fill Lambda - int k = 1; - for (j in 1:N_LVS) { - real filledFirst = 0; - - for (i in 1:K) { - real fill = LAMBDA[i, j]; - - if (fill && !filledFirst) { - Lambda[i, j] = 1; - filledFirst = 1; - - } else if (fill) { - Lambda[i, j] = lambda[k]; - k = k + 1; - } - } - } - // Fill Gamma - k = 1; - for (i in 1:N_ETAS) { - for (j in 1:N_LVS) { - real fill = GAMMA[i, j]; - - if (fill) { - Gamma[i, j] = gamma[k]; - k = k + 1; - } - } - } - - // Fill OMEGA - k = 1; - for (i in 1:N_ETAS) { - for (j in 1:N_INT) { - real fill = OMEGA[i, j]; - - if (fill) { - Omega[i, j] = omega[k]; - k = k + 1; - } - } - } - - // Fill Diagonal Theta - k = 1; - for (i in 1:K) { - real fill = THETA[i, i]; - - if (fill) { - Theta[i, i] = theta_d[k]; - k = k + 1; - } - } - - // Fill Off-Diagonal Theta - k = 1; - for (i in 1:K) { - - for (j in 1:(i-1)) { - real fill = THETA[i, j]; - - if (fill) { - Theta[i, j] = theta_l[k]; - Theta[j, i] = theta_l[k]; - k = k + 1; - } - } - } - - // Fill Diagonal Psi - k = 1; - for (i in 1:N_LVS) { - real fill = PSI[i, i]; - - if (fill) { - Psi[i, i] = psi_d[k]; - k = k + 1; - } - } - - // Fill Off-Diagonal Psi - k = 1; - for (i in 1:N_LVS) { - - for (j in 1:(i-1)) { - real fill = PSI[i, j]; - - if (fill) { - Psi[i, j] = psi_l[k]; - Psi[j, i] = psi_l[k]; - k = k + 1; - } - } - } - - // Fill Alpha - k = 1; - for (i in 1:N_LVS) { - real fill = ALPHA[i]; - if (fill) { - Alpha[i] = alpha[k]; - k = k + 1; - } - } - - // Fill Tau - k = 1; - for (i in 1:K) { - real fill = TAU[i]; - - if (fill) { - Tau[i] = tau[k]; - k = k + 1; - } - } - } - - // Calculate LV values - matrix[N, N_LVS] ETA; - - for (i in 1:N_LVS) { - ETA[, i] = XI[, i]; // For xis the actual values are filled - // For etas we start with the disturbances - } - - for (i in 1:N_ETAS) { - int idx = N_XIS + i; - - for (j in 1:N_LVS) { - if (GAMMA[i, j]) { - ETA[, idx] = ETA[, idx] + Gamma[i, j] * ETA[, j]; - } - } - - for (j in 1:N_INT) { - if (OMEGA[i, j]) { - ETA[, idx] = - ETA[, idx] + Omega[i, j] * getIthProduct(j, N_LVS, N, PRODUCTS, ETA); - } - } - } - - // Calculate Expected Indicator values - matrix[N, K] X = ETA * Lambda'; - for (i in 1:K) { - X[, i] = Tau[i] + X[, i]; - } - - // DEBUGGING - // print(\"Omega\"); - // print(Omega); - // print(\"Gamma\"); - // print(Gamma); - // print(\"Lambda\"); - // print(Lambda); - // print(\"PRODUCTS\"); - // print(PRODUCTS); - // print(\"Theta\"); - // print(Theta); - // print(\"Psi\"); - // print(Psi); - - // print(\"head(ETA)\"); - // print(ETA[1:5, ]); - // - // print(\"head(XI)\"); - // print(XI[1:5, ]); - // - // print(\"head(X)\"); - // print(X[1:5, ]); - - // print(\"head(XZ)\"); - // print(getIthProduct(1, N_LVS, N, PRODUCTS, ETA)[1:5]); -} - -model { - // Priors - // No priors (yet) - - // Latent variable distributions - { - row_vector[N_LVS] alpha_row = to_row_vector(Alpha); // convert mean - for (n in 1:N) { - XI[n] ~ multi_normal(alpha_row, Psi); - } - } - - { - matrix[N, K] mu = X; // expected scores (built in TP block) - for (n in 1:N) { - Y[n] ~ multi_normal(to_row_vector(mu[n]), Theta); - } - } -} - -" - -# Functions -specifyModelSTAN <- function(syntax = NULL, - data = NULL, - auto.fix.first = TRUE, - auto.fix.single = TRUE, - orthogonal.y = FALSE, - orthogonal.x = FALSE, - mean.observed = TRUE) { - if (!is.null(syntax)) parTable <- modsemify(syntax) - stopif(is.null(parTable), "No parTable found") - - # endogenous variables (etas)model - etas <- getSortedEtas(parTable, isLV = TRUE, checkAny = TRUE) - etas <- etas[length(etas):1] # reverse - numEtas <- length(etas) - - indsEtas <- getIndsLVs(parTable, etas) - numIndsEtas <- vapply(indsEtas, FUN.VALUE = vector("integer", 1L), - FUN = length) - allIndsEtas <- unique(unlist(indsEtas)) - numAllIndsEtas <- length(allIndsEtas) - - # exogenouts variables (xis) and interaction terms - intTerms <- unique(parTable[grepl(":", parTable$rhs), "rhs"]) - numInts <- length(intTerms) - varsInts <- stringr::str_split(intTerms, pattern = ":") - varsInts <- stats::setNames(varsInts, nm = intTerms) - allVarsInInts <- unique(unlist(varsInts)) - - xis <- getXis(parTable, checkAny = TRUE) - numXis <- length(xis) - - indsXis <- getIndsLVs(parTable, xis) - numIndsXis <- vapply(indsXis, FUN.VALUE = vector("integer", 1L), - FUN = length) - allIndsXis <- unique(unlist(indsXis)) - numAllIndsXis <- length(allIndsXis) - - lVs <- c(xis, etas) - numLVs <- length(lVs) - indsLVs <- getIndsLVs(parTable, lVs) - allInds <- c(allIndsXis, allIndsEtas) - numAllInds <- length(allInds) - - # clean data - data <- cleanAndSortData(data, allIndsXis, allIndsEtas, impute.na = impute.na) - - - # measurement model x - listLambda <- constructLambda(lVs, indsLVs, parTable = parTable, - auto.fix.first = auto.fix.first) - LAMBDA <- listLambda$numeric - LAMBDA[is.na(LAMBDA)] <- 1 - - listTau <- constructTau(lVs, indsLVs, parTable = parTable) - TAU <- listTau$numeric - TAU[is.na(TAU)] <- 1 - - listAlpha <- constructAlpha(lVs, parTable = parTable, - mean.observed = mean.observed) - ALPHA <- listAlpha$numeric - ALPHA[is.na(ALPHA)] <- 1 - - listTheta <- constructTheta(lVs, indsLVs, parTable = parTable, - auto.fix.single = auto.fix.single) - THETA <- listTheta$numeric - THETA[is.na(THETA)] <- 1 - - listGamma <- constructGamma(etas, lVs, parTable = parTable) - GAMMA <- listGamma$numeric - GAMMA[is.na(GAMMA)] <- 1 - - listOmega <- constructGamma(etas, intTerms, parTable = parTable) - OMEGA <- listOmega$numeric - OMEGA[is.na(OMEGA)] <- 1 - - listPsi <- constructPsi(etas, parTable = parTable, orthogonal.y = orthogonal.y) - psi <- listPsi$numeric - - listPhi <- constructPhi(xis, method = "qml", cov.syntax = NULL, - parTable = parTable, orthogonal.x = orthogonal.x) - phi <- listPhi$numeric - - PSI <- diagPartitionedMat(phi, psi) - PSI[is.na(PSI)] <- 1 - - PRODUCTS <- matrix(0, nrow = numInts, ncol = numLVs, dimnames = list(intTerms, lVs)) - for (intTerm in intTerms) { - elems <- varsInts[[intTerm]] - - PRODUCTS[intTerm, elems] <- 1 - } - - lowerTri <- \(X) X[lower.tri(X, diag = FALSE)] - - list(N = nrow(data), - K = numAllInds, - N_XIS = numXis, - N_ETAS = numEtas, - N_LVS = numLVs, - N_INT = numInts, - - LAMBDA = LAMBDA, - GAMMA = GAMMA, - OMEGA = OMEGA, - PRODUCTS = PRODUCTS, - - PSI = PSI, - THETA = THETA, - - ALPHA = as.vector(ALPHA), - TAU = as.vector(TAU), - - N_FREE_LAMBDA = sum(is.na(listLambda$numeric)), - N_FREE_GAMMA = sum(GAMMA), - N_FREE_OMEGA = sum(OMEGA), - - N_FREE_DIAG_THETA = sum(diag(THETA)), - N_FREE_LOWER_THETA = sum(lowerTri(THETA)), - - N_FREE_DIAG_PSI = sum(diag(PSI)), - N_FREE_LOWER_PSI = sum(lowerTri(PSI)), - - N_FREE_ALPHA = sum(ALPHA), - N_FREE_TAU = sum(TAU), - - Y = as.matrix(data) - ) -} - m1 <- ' X =~ x1 + x2 + x3 Z =~ z1 + z2 + z3 @@ -452,16 +14,10 @@ m1 <- ' Y ~ X + Z + X:Z ' -stan_data <- specifyModelSTAN(m1, data = oneInt) -stan_model <- stan_model(model_code = stan.syntax) +compiled_model <- compile_stan_model(m1) -fit <- sampling( - object = stan_model, - data = stan_data, - chains = 2, - iter = 2000, - warmup = 1000 -) +fit <- modsem_stan(compiled_model = stan_model, + data = oneInt) summary(fit, c("gamma")) summary(fit, c("omega")) @@ -539,8 +95,8 @@ fit.3way <- sampling( object = stan_model, data = stan_data.3way, chains = 2, - iter = 2000, - warmup = 1000 + iter = 4000, + warmup = 2500 ) summary(fit.3way, c("gamma")) From 747729b1aa29d73fce492a474f20acccbee774ef Mon Sep 17 00:00:00 2001 From: kss Date: Wed, 30 Jul 2025 17:57:13 +0200 Subject: [PATCH 06/51] delete unused files --- interaction.stan | 247 ------- optimized_interaction_model.rds | Bin 1247322 -> 0 bytes test_bayesian.R | 670 ------------------ .../testthat/test_modsem_stan.R | 1 - 4 files changed, 918 deletions(-) delete mode 100644 interaction.stan delete mode 100644 optimized_interaction_model.rds delete mode 100644 test_bayesian.R rename test_bayesian_full.R => tests/testthat/test_modsem_stan.R (99%) diff --git a/interaction.stan b/interaction.stan deleted file mode 100644 index e06e8db6..00000000 --- a/interaction.stan +++ /dev/null @@ -1,247 +0,0 @@ -// sem_latent_interaction_fast.stan -// Three latent factors (X, Z, Y) plus a latent interaction X×Z → Y -// Identification: first loading per factor fixed to 1 -// All indicator intercepts τ are free -// Fast version: non-centred Ξ, Cholesky likelihoods, vectorised products -//-------------------------------------------------------------------------- - -functions { - /** - * Multiply the N-length latent vectors whose indices are listed in - * idx_row (zeros mean “not used”) and return the N-vector product. - */ - vector get_product(int N_LVS, - int N, - int idx_row[N_LVS], // <- fixed-size int array - matrix ETA) { - vector[N] out = rep_vector(1, N); - for (j in 1:N_LVS) - if (idx_row[j] > 0) - out = out .* ETA[, idx_row[j]]; - return out; - } -} - -////////////////////////////////////////////////////////// -// DATA -////////////////////////////////////////////////////////// -data { - int N; // sample size - int K; // number of indicators - int N_XIS; // number of ξ (exogenous) factors - int N_ETAS; // number of η (endogenous) factors - int N_LVS; // total latent factors = N_XIS + N_ETAS - int N_INT; // number of latent interactions - - //-------------------------------------------------------------------- - // mask matrices (0 = fixed to 0, 1 = free, 2 = reference loading 1) - //-------------------------------------------------------------------- - matrix[K, N_LVS] LAMBDA_mask; // measurement model - matrix[N_ETAS, N_LVS] GAMMA_mask; // structural paths - matrix[N_ETAS, N_INT] OMEGA_mask; // interaction paths - matrix[N_INT, N_LVS] PRODUCTS_mask; // which LVs in each product - matrix[N_LVS, N_LVS] PSI_mask; // latent (co)variances - matrix[K, K] THETA_mask; // indicator (co)variances - vector[K] TAU_mask; // indicator intercepts - vector[N_LVS] ALPHA_mask; // latent means - - //-------------------------------------------------------------------- - // helper counts = number of free parameters in each block - //-------------------------------------------------------------------- - int N_FREE_LAMBDA; - int N_FREE_GAMMA; - int N_FREE_OMEGA; - int N_FREE_PSI_D; - int N_FREE_PSI_L; - int N_FREE_THETA_D; - int N_FREE_THETA_L; - int N_FREE_TAU; - int N_FREE_ALPHA; - - //-------------------------------------------------------------------- - // index array for products (built once in R/Python would be better) - //-------------------------------------------------------------------- - array[N_INT, N_LVS] int PROD_IDX; // 0 where not used - - // observed data - matrix[N, K] Y; -} - -////////////////////////////////////////////////////////// -// PARAMETERS -////////////////////////////////////////////////////////// -parameters { - //---------------- measurement ---------------- - vector[N_FREE_LAMBDA] lambda; - vector[N_FREE_TAU] tau; - vector[N_FREE_THETA_D] theta_d; - vector[N_FREE_THETA_L] theta_l; - - //---------------- structural ----------------- - vector[N_FREE_GAMMA] gamma; - vector[N_FREE_OMEGA] omega; - vector[N_FREE_ALPHA] alpha; - vector[N_FREE_PSI_D] psi_d; - vector[N_FREE_PSI_L] psi_l; - - //---------------- latent variables ----------- - matrix[N, N_LVS] XI_raw; // non-centred - cholesky_factor_corr[N_LVS] Lcorr_Psi; - vector[N_LVS] sigma_Psi; -} - -////////////////////////////////////////////////////////// -// TRANSFORMED PARAMETERS -////////////////////////////////////////////////////////// -transformed parameters { - //------------------------------------------------- - // 1. free-parameter matrices / vectors - //------------------------------------------------- - matrix[K, N_LVS] Lambda = rep_matrix(0, K, N_LVS); - matrix[N_ETAS, N_LVS] Gamma = rep_matrix(0, N_ETAS, N_LVS); - matrix[N_ETAS, N_INT] Omega = rep_matrix(0, N_ETAS, N_INT); - matrix[N_LVS, N_LVS] Psi = rep_matrix(0, N_LVS, N_LVS); - matrix[K, K] Theta = rep_matrix(0, K, K); - vector[K] Tau = rep_vector(0, K); - vector[N_LVS] Alpha = rep_vector(0, N_LVS); - - { //-------------------------------------------- - int k; - - // Lambda (loadings) - k = 1; - for (r in 1:K) - for (c in 1:N_LVS) - if (LAMBDA_mask[r, c] == 2) // reference loading - Lambda[r, c] = 1; - else if (LAMBDA_mask[r, c] == 1) { - Lambda[r, c] = lambda[k]; - ++k; - } - - //--- Gamma ----------------------------------------------------------------- - k = 1; - for (r in 1:N_ETAS) { - for (c in 1:N_LVS) { - if (GAMMA_mask[r, c]) { - Gamma[r, c] = gamma[k]; - ++k; - } - } - } - - //--- Omega ----------------------------------------------------------------- - k = 1; - for (r in 1:N_ETAS) { - for (c in 1:N_INT) { - if (OMEGA_mask[r, c]) { - Omega[r, c] = omega[k]; - ++k; - } - } - } - - //--- Theta lower triangle --------------------------------------------------- - k = 1; - for (i in 2:K) { - for (j in 1:(i - 1)) { - if (THETA_mask[i, j]) { - Theta[i, j] = theta_l[k]; - Theta[j, i] = theta_l[k]; - ++k; - } - } - } - - //--- Psi lower triangle ----------------------------------------------------- - k = 1; - for (i in 2:N_LVS) { - for (j in 1:(i - 1)) { - if (PSI_mask[i, j]) { - Psi[i, j] = psi_l[k]; - Psi[j, i] = psi_l[k]; - ++k; - } - } - } - // Alpha - k = 1; - for (i in 1:N_LVS) - if (ALPHA_mask[i]) - Alpha[i] = alpha[k++]; - - // Tau - k = 1; - for (i in 1:K) - if (TAU_mask[i]) - Tau[i] = tau[k++]; - } - - //------------------------------------------------- - // 2. latent variables (non-centred) - //------------------------------------------------- - matrix[N_LVS, N_LVS] L_Psi = diag_pre_multiply(sigma_Psi, Lcorr_Psi); - matrix[N, N_LVS] XI = rep_matrix(Alpha', N) + XI_raw * L_Psi'; - - //------------------------------------------------- - // 3. build η factors including interactions - //------------------------------------------------- - matrix[N, N_LVS] ETA = XI; // start with ξ & η residuals - - for (e in 1:N_ETAS) { - int idx = N_XIS + e; // column in ETA for ηₑ - - // structural main-effects - for (j in 1:N_LVS) - if (GAMMA_mask[e, j]) - ETA[, idx] += Gamma[e, j] * ETA[, j]; - - // latent interactions - for (p in 1:N_INT) - if (OMEGA_mask[e, p]) - ETA[, idx] += Omega[e, p] * - get_product(N_LVS, N, PROD_IDX[p], ETA); - } - - //------------------------------------------------- - // 4. expected indicators - //------------------------------------------------- - matrix[N_LVS, K] Lambda_T = Lambda'; // cache transpose - matrix[N, K] Mu = ETA * Lambda_T; - for (k in 1:K) - Mu[, k] += Tau[k]; -} - -////////////////////////////////////////////////////////// -// MODEL -////////////////////////////////////////////////////////// -model { - //-------------------- priors (weakly informative) --------- - lambda ~ normal(0, 0.5); - gamma ~ normal(0, 0.5); - omega ~ normal(0, 0.5); - alpha ~ normal(0, 1); - - sigma_Psi ~ lognormal(0, 0.5); - Lcorr_Psi ~ lkj_corr_cholesky(2); - - theta_d ~ lognormal(-1, 0.5); - theta_l ~ normal(0, 0.3); - psi_d ~ lognormal(-1, 0.5); - psi_l ~ normal(0, 0.3); - - //-------------------- latent variables (non-centred) ----- - to_vector(XI_raw) ~ normal(0, 1); // standard normal i.i.d. - - //-------------------- likelihood -------------------------- - { - matrix[K, K] L_Theta = cholesky_decompose(Theta); - for (n in 1:N) - Y[n] ~ multi_normal_cholesky(Mu[n], L_Theta); - } -} - -////////////////////////////////////////////////////////// -// 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y1–y3) -} - -parameters { - //-------------------------------------- - // Measurement part - //-------------------------------------- - vector[2] lambda_x; // loadings: x2, x3 - vector[2] lambda_z; // loadings: z2, z3 - vector[2] lambda_y; // loadings: y2, y3 - - vector[9] tau; // ALL indicator intercepts free - vector[9] sigma_e; // residual SDs - - //-------------------------------------- - // Latent part - //-------------------------------------- - real sigma_X; - real sigma_Z; - real sigma_Y; - - real beta_X; // structural slopes - real beta_Z; - real beta_XZ; - - vector[N] X; // person‑level latent scores - vector[N] Z; - vector[N] Y_lat; // endogenous latent Y -} - -transformed parameters { - vector[N] XZ = X .* Z; // latent interaction term -} - -model { - //-------------------------------------- - // Priors - //-------------------------------------- - // lambda_x ~ normal(1, 1); - // lambda_z ~ normal(1, 1); - // lambda_y ~ normal(1, 1); - - // tau ~ normal(0, 2); - - // sigma_X ~ exponential(1); - // sigma_Z ~ exponential(1); - // sigma_Y ~ exponential(1); - // sigma_e ~ exponential(1); - - // beta_X ~ normal(0, 1); - // beta_Z ~ normal(0, 1); - // beta_XZ ~ normal(0, 1); - - //-------------------------------------- - // Latent variable distributions (means fixed to 0) - //-------------------------------------- - X ~ normal(0, sigma_X); - Z ~ normal(0, sigma_Z); - Y_lat ~ normal(beta_X * X + beta_Z * Z + beta_XZ * XZ, sigma_Y); - - //-------------------------------------- - // Measurement model - //-------------------------------------- - for (n in 1:N) { - // X indicators - Y[n,1] ~ normal(tau[1] + X[n], sigma_e[1]); // x1 (λ fixed = 1) - Y[n,2] ~ normal(tau[2] + lambda_x[1] * X[n], sigma_e[2]); // x2 - Y[n,3] ~ normal(tau[3] + lambda_x[2] * X[n], sigma_e[3]); // x3 - - // Z indicators - Y[n,4] ~ normal(tau[4] + Z[n], sigma_e[4]); // z1 (λ fixed = 1) - Y[n,5] ~ normal(tau[5] + lambda_z[1] * Z[n], sigma_e[5]); // z2 - Y[n,6] ~ normal(tau[6] + lambda_z[2] * Z[n], sigma_e[6]); // z3 - - // Y indicators - Y[n,7] ~ normal(tau[7] + Y_lat[n], sigma_e[7]); // y1 (λ fixed = 1) - Y[n,8] ~ normal(tau[8] + lambda_y[1] * Y_lat[n], sigma_e[8]); // y2 - Y[n,9] ~ normal(tau[9] + lambda_y[2] * Y_lat[n], sigma_e[9]); // y3 - } -} - -generated quantities { - real corr_XZ = cov_vector(X, Z) / (sd(X) * sd(Z)); - real corr_XY = cov_vector(X, Y_lat) / (sd(X) * sd(Y_lat)); - real corr_ZY = cov_vector(Z, Y_lat) / (sd(Z) * sd(Y_lat)); -} -' - -devtools::load_all() -library(rstan) -rstan_options(auto_write = TRUE) # cache compiled models -options(mc.cores = parallel::detectCores()) - -model <- rstan::stan_model(model_code = stan.syntax) -Y <- oneInt[c("x1", "x2", "x3", - "z1", "z2", "z3", - "y1", "y2", "y3")] -stan_data <- list( - N = nrow(Y), - Y = Y -) - -fit <- sampling( - object = model, - data = stan_data, - chains = 2, - iter = 2000, - warmup = 1000 -) - -summary(fit, c("beta_X", "beta_Z", "beta_XZ")) -stan_rhat(fit) -stan_trace(fit, "beta_X") -stan_trace(fit, "beta_XZ") -stan_trace(fit, "beta_Z") - - -stan.syntax <- " -// sem_latent_interaction.stan (updated) -// SEM with three latent factors (X, Z, Y) and latent interaction X×Z → Y -// Identification: first loading fixed to 1; *latent means constrained to 0*. -// All nine indicator intercepts τ are now free. - -functions { - vector getIthProduct(int i, int K, int N, N_INT, matrix OMEGA, matrix ETA) { - - vector[N] product; - product[:] = 1; // fill with ones - - for (j in 1:N_INT) { - if (OMEGA[i, j]) { - product = product .* ETA[:, i]; - } - } - - return product; - } -} - - -data { - int N; // Sample size - int K; // Number of indicators - int N_XIS; // Number of xis - int N_ETAS; // Number of etas - int N_LVS; // Number of lVs - int N_INT; // Number of interaction terms - - matrix[K, N_LVS] LAMBDA; // Structure of measurement model - matrix[N_ETAS, N_LVS + N_INT] GAMMA; // Structure of structural model - matrix[N_ETAS, N_INT] OMEGA; // Structure of interaction-coefficients - matrix[N_INT, N_LVS] PRODUCTS; // Structure of interaction terms - - matrix[N_LVS, N_LVS] PSI; // Structure of latent covariances - matrix[K, K] THETA; // Structure of indicator covariances - vector[K] TAU; // Structure of indicator intercepts - vector[N_LVS] ALPHA; // Structure of LV intercepts - - int N_FREE_LAMBDA; // sum(abs(LAMBDA)) - int N_FREE_GAMMA; // sum(abs(GAMMA)) - int N_FREE_OMEGA; - - int N_FREE_DIAG_THETA; // sum(abs(diag(THETA))) - int N_FREE_LOWER_THETA; // sum(abs(THETA[is.lower(THETA)])) - - int N_FREE_DIAG_PSI; // sum(abs(diag(PSI))) - int N_FREE_LOWER_PSI; // sum(abs(GAMMA[is.lower(GAMMA)])) - - int N_FREE_TAU; // sum(abs(TAU)) - int N_FREE_ALPHA; // sum(abs(ALPHA)) - - // Observed Data - matrix[N, K] Y; -} - - -parameters { - // Measurement model - vector[N_FREE_LAMBDA] lambda; - vector[N_FREE_TAU] tau; - vector[N_FREE_DIAG_THETA] theta_d; - vector[N_FREE_LOWER_THETA] theta_l; - - // Structural model - vector[N_FREE_GAMMA] gamma; - vector[N_FREE_ALPHA] ALPHA; - vector[N_FREE_DIAG_PSI] psi_d; - vector[N_FREE_LOWER_PSI] psi_l; - - // LVs - matrix[N, N_LVS] XI; - - // Indicator disturbances - // matrix[N, K] EPSILON; -} - -transformed_parameters { - // Fill matrices - matrix[K, N_LVS] Lambda; // Structure of measurement model - matrix[N_ETAS, N_LVS + N_INT] Gamma; // Structure of structural model - - matrix[N_LVS, N_LVS] Psi; // Structure of latent covariances - matrix[K, K] Theta; // Structure of indicator covariances - vector[K] Tau; // Structure of indicator intercepts - vector[N_LVS] Alpha; // Structure of LV intercepts - - // Fill Lambda - int k = 1; - for (i in 1:K) { - int filledFirst = 0; - - for (j in 1:N_LVS) { - int fill = LAMBDA[i, j]; - - if (fill && !filledFirst) { - Lambda[i, j] = 1; - } else if (fill) { - Lambda[i, j] = lambda[k]; - k = k + 1; - } - } - } - - // Fill Gamma - k = 1; - for (i in 1:N_ETAS) { - for (j in 1:N_LVS) { - int fill = GAMMA[i, j]; - - if (fill) { - Gamma[i, j] = gamma[k]; - k = k + 1; - } - } - } - - // Fill OMEGA - k = 1; - for (i in 1:N_ETAS) { - for (j in 1:N_INT) { - int fill = OMEGA[i, j]; - - if (fill) { - Omega[i, j] = omega[k]; - k = k + 1; - } - } - } - - // Fill Diagonal Theta - k = 1; - for (i in 1:K) { - int fill = THETA[i, i]; - - if (fill) { - Theta[i, i] = theta_d[k]; - k = k + 1; - } - } - - // Fill Off-Diagonal Theta - k = 1; - for (i in 1:K) { - - for (j in 1:i) { - if (j >= i) { - continue; - } - - int fill = THETA[i, j]; - - if (fill) { - Theta[i, j] = theta_l[k]; - Theta[j, i] = theta_l[k]; - k = k + 1; - } - } - - // Fill Diagonal Psi - k = 1; - for (i in 1:N_LVS) { - int fill = PSI[i, i]; - - if (fill) { - Psi[i, i] = psi_d[k]; - k = k + 1; - } - } - - // Fill Off-Diagonal Theta - k = 1; - for (i in 1:N_LVS) { - - for (j in 1:i) { - if (j >= i) { - continue; - } - - int fill = PSI[i, j]; - - if (fill) { - Psi[i, j] = psi_l[k]; - Psi[j, i] = psi_l[k]; - k = k + 1; - } - } - - // Fill Alpha - k = 1; - for (i in 1:N_LVS) { - int fill = ALPHA[i]; - if (fill) { - Alpha[i] = alpha[k]; - k = k + 1; - } - } - - // Fill Tau - k = 1; - for (i in 1:K) { - int fill = TAU[i]; - if (fill) { - Tau[i] = tau[k]; - k = k + 1; - } - } - - // Calculate LV values - matrix[N, N_LVS + N_INT] ETA; - - for (i in 1:N_LVS) { - ETA[, i] = XI[, i]; // For xis the actual values are filled - // For etas we start with the disturbances - } - - for (i in 1:N_ETAS) { - for (j in 1:N_LVS) { - if (GAMMA[i, j]) { - ETA[, i] = ETA[, i] + GAMMA[i, j] * ETA[, j]; - } - } - - for (j in 1:N_INT) { - if (OMEGA[i, j]) { - ETA[, i] = - ETA[, i] + OMEGA[i, j] * getIthProduct(j, K, N, N_INT, OMEGA, ETA); - } - } - } - - // Calculate Expected Indicator values - matrix[N, K] X = ETA * Lambda'; - for (i in 1:K) { - X[, i] = Tau[i] + X[, i]; - } -} - - -model { - // Priors - // No priors (yet) - - // Latent variable distributions - row_vector[N_LVS] alpha_row = to_row_vector(Alpha); // convert mean - for (n in 1:N) { - to_row_vector(XI[n]) ~ multi_normal(alpha_row, Psi); - } - matrix[N, K] mu = X; // expected scores (built in TP block) - for (n in 1:N) { - to_row_vector(Y[n]) ~ multi_normal(to_row_vector(mu[n]), Theta); - } -} - -" -devtools::load_all() -library(rstan) -rstan_options(auto_write = TRUE) # cache compiled models -options(mc.cores = parallel::detectCores()) - -model <- rstan::stan_model(model_code = stan.syntax) -Y <- oneInt[c("x1", "x2", "x3", - "z1", "z2", "z3", - "y1", "y2", "y3")] -stan_data <- list( - N = nrow(Y), - Y = Y -) - -fit <- sampling( - object = model, - data = stan_data, - chains = 2, - iter = 2000, - warmup = 1000 -) - -summary(fit, c("beta_X", "beta_Z", "beta_XZ")) -stan_rhat(fit) -stan_trace(fit, "beta_X") -stan_trace(fit, "beta_XZ") -stan_trace(fit, "beta_Z") - - - -stan.syntax.3way <- ' -// sem_latent_interaction.stan (updated) -// SEM with three latent factors (X, Z, Y) and latent interaction X×Z → Y -// Identification: first loading fixed to 1; *latent means constrained to 0*. -// All nine indicator intercepts τ are now free. - -functions { - // empirical covariance helper (for generated quantities) - real cov_vector(vector a, vector b) { - return (dot_self(a - mean(a)))/(num_elements(a)-1); - } -} - -data { - int N; // sample size - matrix[N, 12] Y; // observed indicators (x1–x3, z1–z3, y1–y3) -} - -parameters { - //-------------------------------------- - // Measurement part - //-------------------------------------- - vector[2] lambda_x; // loadings: x2, x3 - vector[2] lambda_z; // loadings: z2, z3 - vector[2] lambda_w; // loadings: w2, w3 - vector[2] lambda_y; // loadings: y2, y3 - - vector[12] tau; // ALL indicator intercepts free - vector[12] sigma_e; // residual SDs - - //-------------------------------------- - // Latent part - //-------------------------------------- - real sigma_X; - real sigma_Z; - real sigma_W; - real sigma_Y; - - real beta_X; // structural slopes - real beta_Z; - real beta_W; - real beta_XZ; - real beta_XW; - real beta_ZW; - real beta_XZW; - - vector[N] X; // person‑level latent scores - vector[N] Z; - vector[N] W; - vector[N] Y_lat; // endogenous latent Y -} - -transformed parameters { - vector[N] XZ = X .* Z; // latent interaction term - vector[N] XW = X .* W; // latent interaction term - vector[N] ZW = Z .* W; // latent interaction term - vector[N] XZW = X .* ZW; // latent interaction term -} - -model { - //-------------------------------------- - // Priors - //-------------------------------------- - // lambda_x ~ normal(1, 1); - // lambda_z ~ normal(1, 1); - // lambda_y ~ normal(1, 1); - - // tau ~ normal(0, 2); - - // sigma_X ~ exponential(1); - // sigma_Z ~ exponential(1); - // sigma_Y ~ exponential(1); - // sigma_e ~ exponential(1); - - // beta_X ~ normal(0, 1); - // beta_Z ~ normal(0, 1); - // beta_XZ ~ normal(0, 1); - - //-------------------------------------- - // Latent variable distributions (means fixed to 0) - //-------------------------------------- - X ~ normal(0, sigma_X); - Z ~ normal(0, sigma_Z); - W ~ normal(0, sigma_W); - Y_lat ~ normal(beta_X * X + - beta_Z * Z + - beta_W * W + - beta_XZ * XZ + - beta_XW * XW + - beta_ZW * ZW + - beta_XZW * XZW, - sigma_Y); - - //-------------------------------------- - // Measurement model - //-------------------------------------- - // X indicators - Y[,1] ~ normal(tau[1] + X, sigma_e[1]); // x1 (λ fixed = 1) - Y[,2] ~ normal(tau[2] + lambda_x[1] * X, sigma_e[2]); // x2 - Y[,3] ~ normal(tau[3] + lambda_x[2] * X, sigma_e[3]); // x3 - - // Z indicators - Y[,4] ~ normal(tau[4] + Z, sigma_e[4]); // z1 (λ fixed = 1) - Y[,5] ~ normal(tau[5] + lambda_z[1] * Z, sigma_e[5]); // z2 - Y[,6] ~ normal(tau[6] + lambda_z[2] * Z, sigma_e[6]); // z3 - - // W indicators - Y[,7] ~ normal(tau[7] + W, sigma_e[7]); // y1 (λ fixed = 1) - Y[,8] ~ normal(tau[8] + lambda_w[1] * W, sigma_e[8]); // y2 - Y[,9] ~ normal(tau[9] + lambda_w[2] * W, sigma_e[9]); // y3 - - // Y indicators - Y[,10] ~ normal(tau[10] + Y_lat, sigma_e[10]); // y1 (λ fixed = 1) - Y[,11] ~ normal(tau[11] + lambda_y[1] * Y_lat[n], sigma_e[11]); // y2 - Y[,12] ~ normal(tau[12] + lambda_y[2] * Y_lat[n], sigma_e[12]); // y3 -} - -generated quantities { - real cov_XZ = cov_vector(X, Z); - real cov_XW = cov_vector(X, W); - real cov_ZW = cov_vector(Z, W); -} -' - - -model <- rstan::stan_model(model_code = stan.syntax) -Y <- oneInt[c("x1", "x2", "x3", - "z1", "z2", "z3", - "y1", "y2", "y3")] -stan_data <- list( - N = nrow(Y), - Y = Y -) - -fit <- sampling( - object = model, - data = stan_data, - chains = 2, - iter = 2000, - warmup = 1000 -) - -summary(fit, c("beta_X", "beta_Z", "beta_XZ")) -stan_rhat(fit) -stan_trace(fit, "beta_X") -stan_trace(fit, "beta_XZ") -stan_trace(fit, "beta_Z") - - -set.seed(29723234) - -n <- 2000 -Sigma <- matrix(c( - 1.2, 0.7, 0.8, - 0.7, 1.8, 0.6, - 0.8, 0.6, 1.4 -), nrow = 3) - - -XI <- rmvnorm(n, sigma = Sigma) - -X <- XI[, 1] -Z <- XI[, 2] -W <- XI[, 3] - -Y <- 1.2 * X + 0.4 * Z + 0.7 * W + - 0.2 * W * Z + - 0.7 * W * X + - 1.2 * X * Z + - 2.2 * X * Z * W + rnorm(n, sd = sqrt(2)) - -createInd <- \(x, lambda, epsilon = 0.2) lambda * x + rnorm(n, sd = sqrt(epsilon)) - - -x1 <- createInd(X, 1) -x2 <- createInd(X, 0.8) -x3 <- createInd(X, 0.9) - -z1 <- createInd(Z, 1) -z2 <- createInd(Z, 0.8) -z3 <- createInd(Z, 0.9) - -w1 <- createInd(W, 1) -w2 <- createInd(W, 0.8) -w3 <- createInd(W, 0.9) - -y1 <- createInd(Y, 1) -y2 <- createInd(Y, 0.8) -y3 <- createInd(Y, 0.9) - -data.3way <- data.frame(x1, x2, x3, - z1, z2, z3, - w1, w2, w3, - y1, y2, y3) -m.3way <- ' - X =~ x1 + x2 + x3 - Z =~ z1 + z2 + z3 - W =~ w1 + w2 + w3 - Y =~ y1 + y2 + y3 - - Y ~ X + Z + W + X:Z + X:W + Z:W + X:Z:W - # True values are - # Y ~ 1.2 * X + - # 0.4 * Z + - # 0.7 * W + - # 1.2 * X:Z + - # 0.7 * X:W + - # 0.2 * Z:W + - # 2.2 * X:Z:W + -' - - -model <- rstan::stan_model(model_code = stan.syntax.3way) -Y <- data.3way[c("x1", "x2", "x3", - "z1", "z2", "z3", - "w1", "w2", "w3", - "y1", "y2", "y3")] -stan_data <- list( - N = nrow(Y), - Y = Y -) - -fit <- sampling( - object = model, - data = stan_data, - chains = 2, - iter = 5000, - warmup = 3000 -) - -beta <- c("beta_X", "beta_Z", "beta_W", - "beta_XZ", "beta_XW", "beta_ZW", - "beta_XZW") -lambda <- c("lambda_x", "lambda_z", - "lambda_w", "lambda_y") -sigma_e <- c("sigma_e") -sigma <- c("sigma_X", "sigma_Z", "sigma_W", "sigma_Y") -tau <- c("tau") -pars <- c(lambda, beta, sigma, sigma_e, tau) -summary(fit, pars) -stan_rhat(fit) -stan_trace(fit, pars) -stan_trace(fit, "beta_XZ") -stan_trace(fit, "beta_Z") - diff --git a/test_bayesian_full.R b/tests/testthat/test_modsem_stan.R similarity index 99% rename from test_bayesian_full.R rename to tests/testthat/test_modsem_stan.R index a5d02fca..1ab6f659 100644 --- a/test_bayesian_full.R +++ b/tests/testthat/test_modsem_stan.R @@ -36,7 +36,6 @@ Sigma <- matrix(c( 0.8, 0.6, 1.4 ), nrow = 3) - XI <- rmvnorm(n, sigma = Sigma) X <- XI[, 1] From 4473b14b76147a51771b853d5645b53e6aff602b Mon Sep 17 00:00:00 2001 From: kss Date: Wed, 30 Jul 2025 19:09:06 +0200 Subject: [PATCH 07/51] Create generics for `modsem_stan` --- NAMESPACE | 11 ++-- R/create_stan_model.R | 32 ++++++++++-- R/generics_modsem_da.R | 3 +- R/generics_modsem_pi.R | 2 +- R/modsem_stan.R | 85 +++++++++++++++++++++++++++++-- R/standardized_solution.R | 12 ++--- man/compile_stan_model.Rd | 17 +++++++ man/modsem_predict.Rd | 14 +++-- man/modsem_stan.Rd | 43 ++++++++++++++++ man/parameter_estimates.Rd | 18 +++---- tests/testthat/test_modsem_stan.R | 38 ++++++-------- 11 files changed, 220 insertions(+), 55 deletions(-) create mode 100644 man/compile_stan_model.Rd create mode 100644 man/modsem_stan.Rd diff --git a/NAMESPACE b/NAMESPACE index 6f1b8fe0..0c26035d 100644 --- a/NAMESPACE +++ b/NAMESPACE @@ -18,6 +18,7 @@ S3method(centered_estimates,modsem_da) S3method(coef,modsem_da) S3method(coef,modsem_mplus) S3method(coef,modsem_pi) +S3method(coef,modsem_stan) S3method(coefficients,modsem_da) S3method(coefficients,modsem_pi) S3method(compare_fit,modsem_da) @@ -52,10 +53,6 @@ S3method(modsem_predict,modsem_pi) S3method(nobs,modsem_da) S3method(nobs,modsem_mplus) S3method(nobs,modsem_pi) -S3method(parameter_estimates,lavaan) -S3method(parameter_estimates,modsem_da) -S3method(parameter_estimates,modsem_mplus) -S3method(parameter_estimates,modsem_pi) S3method(print,ModsemMatrix) S3method(print,ModsemParTable) S3method(print,ModsemSymmetricMatrix) @@ -75,6 +72,7 @@ S3method(standardized_estimates,lavaan) S3method(standardized_estimates,modsem_da) S3method(standardized_estimates,modsem_mplus) S3method(standardized_estimates,modsem_pi) +S3method(standardized_estimates,modsem_stan) S3method(summary,modsem_da) S3method(summary,modsem_mplus) S3method(summary,modsem_pi) @@ -85,6 +83,7 @@ S3method(var_interactions,modsem_mplus) S3method(vcov,modsem_da) S3method(vcov,modsem_mplus) S3method(vcov,modsem_pi) +S3method(vcov,modsem_stan) export(bootstrap_modsem) export(centered_estimates) export(colorize_output) @@ -108,6 +107,10 @@ export(modsem_predict) export(modsem_vcov) export(modsemify) export(parameter_estimates) +export(parameter_estimates.lavaan) +export(parameter_estimates.modsem_da) +export(parameter_estimates.modsem_mplus) +export(parameter_estimates.modsem_pi) export(plot_interaction) export(plot_jn) export(plot_surface) diff --git a/R/create_stan_model.R b/R/create_stan_model.R index b48a2cae..912e45d7 100644 --- a/R/create_stan_model.R +++ b/R/create_stan_model.R @@ -39,7 +39,13 @@ generated quantities { } " -compile_stan_model <- function(model.syntax) { + +#' Compile \code{STAN} model based on a \code{lavaan} model +#' +#' @param model.syntax \code{lavaan} syntax. +#' @param compile Should compilation be performed? If \code{FALSE} only the \code{STAN} +#' is generated, and not compiled. +compile_stan_model <- function(model.syntax, compile = TRUE) { message("Compiling STAN model...") parTable <- modsemify(model.syntax) @@ -190,6 +196,7 @@ compile_stan_model <- function(model.syntax) { } STAN_COMPUTED_COVARIANCES <- function(vars) { + vars <- stringr::str_replace_all(vars, pattern = ":", replacement = "__XWITH__") combos <- getUniqueCombos(vars) generated_quantities <- NULL @@ -206,6 +213,21 @@ compile_stan_model <- function(model.syntax) { list(generated_quantities = collapse(generated_quantities)) } + + STAN_COMPUTED_VARIANCES <- function(vars) { + vars <- stringr::str_replace_all(vars, pattern = ":", replacement = "__XWITH__") + generated_quantities <- NULL + + for (var in vars) { + generated_quantities <- c( + generated_quantities, + sprintf("real %s__COVARIANCE__%s = cov_vector(%s, %s);", + var, var, var, var) + ) + } + + list(generated_quantities = collapse(generated_quantities)) + } add2block <- function(FUN, ...) { blocks <- FUN(...) @@ -246,7 +268,8 @@ compile_stan_model <- function(model.syntax) { for (eta in etas) add2block(STAN_PAR_ETA, eta = eta) add2block(STAN_COMPUTED_PRODUCTS, intTerms = intTerms) - add2block(STAN_COMPUTED_COVARIANCES, vars = xis) + add2block(STAN_COMPUTED_COVARIANCES, vars = c(xis, intTerms)) + add2block(STAN_COMPUTED_VARIANCES, vars = intTerms) # add2block(STAN_COMPUTED_COVARIANCES, vars = etas) # These should be residual variances... stanModelSyntax <- sprintf(STAN_SYNTAX_BLOCKS, @@ -254,8 +277,11 @@ compile_stan_model <- function(model.syntax) { TRANSFORMED_PARAMETERS, MODEL, GENERATED_QUANTITIES) + if (compile) stanModel <- rstan::stan_model(model_code = stanModelSyntax) + else stanModel <- NULL + list(syntax = stanModelSyntax, - stan_model = rstan::stan_model(model_code = stanModelSyntax), + stan_model = stanModel, info = list(lVs = lVs, xis = xis, etas = etas, diff --git a/R/generics_modsem_da.R b/R/generics_modsem_da.R index 52f38a75..9583e555 100644 --- a/R/generics_modsem_da.R +++ b/R/generics_modsem_da.R @@ -550,7 +550,8 @@ centered_estimates.modsem_da <- function(object, -#' @describeIn modsem_predict +#' @describeIn modsem_predict Predict From \code{modsem} Models +#' #' Computes (optionally standardised) factor scores via the #' regression method using the baseline model unless \code{H0 = FALSE}. #' diff --git a/R/generics_modsem_pi.R b/R/generics_modsem_pi.R index 2b7a2c8f..615fd7da 100644 --- a/R/generics_modsem_pi.R +++ b/R/generics_modsem_pi.R @@ -384,7 +384,7 @@ print.modsem_pi <- function(x, ...) { } -#' @describeIn modsem_predict +#' @describeIn modsem_predict Predict From \code{modsem} Models #' @export modsem_predict.modsem_pi <- function(object, ...) { lavaan::predict(extract_lavaan(object), ...) diff --git a/R/modsem_stan.R b/R/modsem_stan.R index 4272baaf..2a95e201 100644 --- a/R/modsem_stan.R +++ b/R/modsem_stan.R @@ -1,18 +1,46 @@ +#' Interaction between latent variables using Markow-Chain Monte-Carlo sampling via \code{STAN} +#' +#' @param model.syntax \code{lavaan} syntax. Overwritten by \code{compiled_model}. +#' +#' @param data A dataframe with observed variables used in the model. +#' +#' @param compiled_model Compiled model from \code{\link{compile_stan_model}}. Saves time if the +#' same \code{model.syntax} has to be reused multiple times. +#' +#' @param chains A positive integer specifying the number of Markov chains. +#' The default is 4. +#' +#' @param iter A positive integer specifying the number of iterations for +#' each chain (including warmup). The default is 2000. +#' +#' @param warmup A positive integer specifying the number of warmup (aka +#' burnin) iterations per chain. If step-size adaptation is on +#' (which it is by default), this also controls the number of +#' iterations for which adaptation is run (and hence these +#' warmup samples should not be used for inference). The number +#' of warmup iterations should be smaller than \code{iter} and the +#' default is \code{iter/2}. +#' +#' @param ... Arguments passed to \code{stan::sampling}. modsem_stan <- function(model.syntax = NULL, data = NULL, compiled_model = NULL, chains = 2, iter = 2000, - warmup = 1000, ...) { + warmup = iter / 2, + ...) { if (is.null(compiled_model)) { stopif(is.null(model.syntax), "One of `model.syntax` or `compiled_model` has to be provided!") - compiled_model <- compile_stan_model(m1) + compiled_model <- compile_stan_model(model.syntax) } + lVs <- compiled_model$info$lVs + indsLVs <- compiled_model$info$indsLVs + stan_data <- get_stan_data(compiled_model = compiled_model, data = data) - + message("Sampling STAN model...") fit <- rstan::sampling(object = compiled_model$stan_model, data = stan_data, @@ -34,8 +62,8 @@ modsem_stan <- function(model.syntax = NULL, lhs <- lr[, 1] rhs <- lr[, 2] - - isSD <- lhs == rhs & op == "~~" + + isSD <- lhs == rhs & op == "~~" & !grepl(":", lhs) & !grepl(":", rhs) samples[, isSD] <- samples[, isSD]^2 coefs <- apply(samples, MARGIN = 2, FUN = mean) @@ -47,6 +75,15 @@ modsem_stan <- function(model.syntax = NULL, z.value = coefs / se, p.value = 2 * stats::pnorm(-abs(coefs / se)), ci.lower = coefs - CI_WIDTH * se, ci.upper = coefs + CI_WIDTH * se ) + + parTable <- rbind( + data.frame(lhs = lVs, op = "=~", + rhs = sapply(lVs, FUN = \(lV) indsLVs[[lV]][[1L]]), + est = 1, std.error = NA, z.value = NA, p.value = NA, + ci.lower = NA, ci.upper = NA), + parTable + ) + parTable <- parTable[order(parTable$op), ] rownames(parTable) <- NULL parTable <- modsemParTable(parTable[parTable$op != ":=", , drop = FALSE]) @@ -74,3 +111,41 @@ summary.modsem_stan <- function(object, ...) { print.modsem_stan <- function(x, ...) { print(x$parTable) } + + +#' @export +parameter_estimates <- function(object, ...) { + object$parTable +} + + +#' @export +standardized_estimates.modsem_stan <- function(object, + monte.carlo = FALSE, + mc.reps = 10000, + tolerance.zero = 1e-10, + ...) { + stdSolution <- standardizedSolutionCOEFS( + object, + monte.carlo = monte.carlo, + mc.reps = mc.reps, + tolerance.zero = tolerance.zero, + ... + ) + + stdSolution$parTable +} + + +#' @export +#' @importFrom stats vcov +vcov.modsem_stan <- function(object, ...) { + object$vcov +} + + +#' @export +#' @importFrom stats coef +coef.modsem_stan <- function(object, ...) { + object$coefs +} diff --git a/R/standardized_solution.R b/R/standardized_solution.R index f50793d6..6b35d6f7 100644 --- a/R/standardized_solution.R +++ b/R/standardized_solution.R @@ -7,13 +7,13 @@ transformedSolutionCOEFS <- function(object, center = TRUE, standardize = TRUE, ...) { - stopif(!inherits(object, c("modsem_da", "modsem_pi", "lavaan", "modsem_mplus")), - "The model must be of class `modsem_da`, `modsem_mplus`, `modsem_pi` or `lavaan`!") + stopif(!inherits(object, c("modsem_da", "modsem_pi", "lavaan", "modsem_mplus", "modsem_stan")), + "The model must be of class `modsem_da`, `modsem_mplus`, `modsem_pi`, `modsem_stan` or `lavaan`!") - isLav <- inherits(object, "lavaan") + isLavStan <- inherits(object, c("lavaan", "modsem_stan")) isDA <- inherits(object, c("modsem_da", "modsem_mplus")) - if (isLav) { + if (isLavStan) { vcov <- lavaan::vcov # load vcov and coef from lavaan if dealing with a lavaan object coef <- lavaan::coef } @@ -34,8 +34,8 @@ transformedSolutionCOEFS <- function(object, parTable <- rename(parTable, se = "std.error") } - if (center && (isLav || isDA)) { # not relevant for modsem_pi - warnif(isLav, "Replacing interaction (co-)", + if (center && (isLavStan || isDA)) { # not relevant for modsem_pi + warnif(isLavStan, "Replacing interaction (co-)", "variances when centering the model!\n", immediate. = FALSE) if (isDA) parTable <- meanInteractions(parTable) # get means for interaction terms diff --git a/man/compile_stan_model.Rd b/man/compile_stan_model.Rd new file mode 100644 index 00000000..5fc554a9 --- /dev/null +++ b/man/compile_stan_model.Rd @@ -0,0 +1,17 @@ +% Generated by roxygen2: do not edit by hand +% Please edit documentation in R/create_stan_model.R +\name{compile_stan_model} +\alias{compile_stan_model} +\title{Compile \code{STAN} model based on a \code{lavaan} model} +\usage{ +compile_stan_model(model.syntax, compile = TRUE) +} +\arguments{ +\item{model.syntax}{\code{lavaan} syntax.} + +\item{compile}{Should compilation be performed? If \code{FALSE} only the \code{STAN} +is generated, and not compiled.} +} +\description{ +Compile \code{STAN} model based on a \code{lavaan} model +} diff --git a/man/modsem_predict.Rd b/man/modsem_predict.Rd index b027aea1..f098a8d5 100644 --- a/man/modsem_predict.Rd +++ b/man/modsem_predict.Rd @@ -1,8 +1,10 @@ % Generated by roxygen2: do not edit by hand -% Please edit documentation in R/generics.R, R/generics_modsem_da.R +% Please edit documentation in R/generics.R, R/generics_modsem_da.R, +% R/generics_modsem_pi.R \name{modsem_predict} \alias{modsem_predict} \alias{modsem_predict.modsem_da} +\alias{modsem_predict.modsem_pi} \title{Predict From \code{modsem} Models} \usage{ modsem_predict(object, ...) @@ -15,6 +17,8 @@ modsem_predict(object, ...) center.data = TRUE, ... ) + +\method{modsem_predict}{modsem_pi}(object, ...) } \arguments{ \item{object}{\code{\link{modsem_da}} object} @@ -45,8 +49,12 @@ values or factor scores from \code{\link{modsem}} models. } \section{Methods (by class)}{ \itemize{ -\item \code{modsem_predict(modsem_da)}: Computes (optionally standardised) factor scores via the -regression method using the baseline model unless \code{H0 = FALSE}. +\item \code{modsem_predict(modsem_da)}: Predict From \code{modsem} Models + +Computes (optionally standardised) factor scores via the + regression method using the baseline model unless \code{H0 = FALSE}. + +\item \code{modsem_predict(modsem_pi)}: Predict From \code{modsem} Models }} \examples{ diff --git a/man/modsem_stan.Rd b/man/modsem_stan.Rd new file mode 100644 index 00000000..f1b66574 --- /dev/null +++ b/man/modsem_stan.Rd @@ -0,0 +1,43 @@ +% Generated by roxygen2: do not edit by hand +% Please edit documentation in R/modsem_stan.R +\name{modsem_stan} +\alias{modsem_stan} +\title{Interaction between latent variables using Markow-Chain Monte-Carlo sampling via \code{STAN}} +\usage{ +modsem_stan( + model.syntax = NULL, + data = NULL, + compiled_model = NULL, + chains = 2, + iter = 2000, + warmup = iter/2, + ... +) +} +\arguments{ +\item{model.syntax}{\code{lavaan} syntax. Overwritten by \code{compiled_model}.} + +\item{data}{A dataframe with observed variables used in the model.} + +\item{compiled_model}{Compiled model from \code{\link{compile_stan_model}}. Saves time if the +same \code{model.syntax} has to be reused multiple times.} + +\item{chains}{A positive integer specifying the number of Markov chains. +The default is 4.} + +\item{iter}{A positive integer specifying the number of iterations for +each chain (including warmup). The default is 2000.} + +\item{warmup}{A positive integer specifying the number of warmup (aka +burnin) iterations per chain. If step-size adaptation is on +(which it is by default), this also controls the number of +iterations for which adaptation is run (and hence these +warmup samples should not be used for inference). The number +of warmup iterations should be smaller than \code{iter} and the +default is \code{iter/2}.} + +\item{...}{Arguments passed to \code{stan::sampling}.} +} +\description{ +Interaction between latent variables using Markow-Chain Monte-Carlo sampling via \code{STAN} +} diff --git a/man/parameter_estimates.Rd b/man/parameter_estimates.Rd index dc400196..09c4bfba 100644 --- a/man/parameter_estimates.Rd +++ b/man/parameter_estimates.Rd @@ -11,13 +11,13 @@ \usage{ parameter_estimates(object, ...) -\method{parameter_estimates}{lavaan}(object, colon.pi = TRUE, ...) +parameter_estimates.lavaan(object, colon.pi = TRUE, ...) -\method{parameter_estimates}{modsem_da}(object, ...) +parameter_estimates.modsem_da(object, ...) -\method{parameter_estimates}{modsem_mplus}(object, ...) +parameter_estimates.modsem_mplus(object, ...) -\method{parameter_estimates}{modsem_pi}(object, colon.pi = FALSE, ...) +parameter_estimates.modsem_pi(object, colon.pi = FALSE, ...) } \arguments{ \item{object}{An object of class \code{\link{modsem_pi}}, \code{\link{modsem_da}}, or \code{\link{modsem_mplus}}} @@ -29,15 +29,15 @@ parameter_estimates(object, ...) \description{ Extract parameterEstimates from an estimated model } -\section{Methods (by class)}{ +\section{Functions}{ \itemize{ -\item \code{parameter_estimates(lavaan)}: Get parameter estimates of a \code{lavaan} object +\item \code{parameter_estimates.lavaan()}: Get parameter estimates of a \code{lavaan} object -\item \code{parameter_estimates(modsem_da)}: Get parameter estimates of a \code{\link{modsem_da}} object +\item \code{parameter_estimates.modsem_da()}: Get parameter estimates of a \code{\link{modsem_da}} object -\item \code{parameter_estimates(modsem_mplus)}: Get parameter estimates of a \code{\link{modsem_mplus}} object +\item \code{parameter_estimates.modsem_mplus()}: Get parameter estimates of a \code{\link{modsem_mplus}} object -\item \code{parameter_estimates(modsem_pi)}: Get parameter estimates of a \code{\link{modsem_pi}} object +\item \code{parameter_estimates.modsem_pi()}: Get parameter estimates of a \code{\link{modsem_pi}} object }} \examples{ diff --git a/tests/testthat/test_modsem_stan.R b/tests/testthat/test_modsem_stan.R index 1ab6f659..86b98bcd 100644 --- a/tests/testthat/test_modsem_stan.R +++ b/tests/testthat/test_modsem_stan.R @@ -16,20 +16,14 @@ m1 <- ' compiled_model <- compile_stan_model(m1) -fit <- modsem_stan(compiled_model = stan_model, - data = oneInt) - -summary(fit, c("gamma")) -summary(fit, c("omega")) -stan_rhat(fit) -stan_trace(fit, "omega") -stan_trace(fit, "gamma") - - +fit <- modsem_stan(compiled_model = compiled_model, + data = oneInt, iter = 4000) +summary(fit) +standardized_estimates(fit) set.seed(29723234) -n <- 500 +n <- 2000 Sigma <- matrix(c( 1.2, 0.7, 0.8, 0.7, 1.8, 0.6, @@ -88,18 +82,16 @@ m.3way <- ' # 2.2 * X:Z:W + ' -stan_data.3way <- specifyModelSTAN(m.3way, data = data.3way) - -fit.3way <- sampling( - object = stan_model, - data = stan_data.3way, +# Compile a STAN model based on the lavaan syntax to save +# time when re-estimating the model, +# I.e., we don't want to compile each iteraction of the simulation +compiled_model_3way <- compile_stan_model(m.3way) +fit.3way <- modsem_stan( + compiled_model = compiled_model_3way, + data = data.3way, chains = 2, - iter = 4000, - warmup = 2500 + iter = 4000 ) -summary(fit.3way, c("gamma")) -summary(fit.3way, c("omega")) -stan_rhat(fit.3way) -stan_trace(fit.3way, "omega") -stan_trace(fit.3way, "gamma") +standardized_estimates(fit.3way) +parameter_estimates(fit.3way) From 5446ba9b53182181ea7267b7e639106e18df6d60 Mon Sep 17 00:00:00 2001 From: kss2k Date: Thu, 31 Jul 2025 16:56:28 +0200 Subject: [PATCH 08/51] Get better results --- R/create_stan_model.R | 60 +++++++++++++++++++++++++++++++++++-------- R/modsem_stan.R | 3 ++- 2 files changed, 51 insertions(+), 12 deletions(-) diff --git a/R/create_stan_model.R b/R/create_stan_model.R index 912e45d7..57a37912 100644 --- a/R/create_stan_model.R +++ b/R/create_stan_model.R @@ -26,6 +26,18 @@ parameters { transformed parameters { %s +// print(\"L_Omega)\"); +// print(L_Omega); +// print(\"sqrtD_Phi\"); +// print(sqrtD_Phi); +// print(\"L_Sigma)\"); +// print(L_Sigma); +// print(\"head(X)\"); +// print(X[1:5]); +// print(\"head(Z)\"); +// print(Z[1:5]); +// print(\"head(X__XWITH__Z)\"); +// print(X__XWITH__Z[1:5]); } model { @@ -141,20 +153,43 @@ compile_stan_model <- function(model.syntax, compile = TRUE) { list(parameters = parameters, model = model, data = data) } +STAN_PAR_XIS <- function(xis) { + k <- length(xis) - STAN_PAR_XI <- function(xi) { # parameters {} - labSD <- sprintf("%s__COVARIANCE__%s", xi, xi) - parValues <- sprintf("vector[N] %s;", xi) - parSD <- sprintf("real %s;", labSD) + parLOmega <- sprintf("cholesky_factor_corr[%d] L_Omega;", k) + parSqrtDPhi <- sprintf("vector[%d] sqrtD_Phi;", k) + # parZXiMat <- sprintf("matrix[N, %d] Z_XI_Matrix;", k) + parXiMat <- sprintf("matrix[N, %d] XI_Matrix;", k) + + # transformed parameters {} + tparLSigma <- sprintf("matrix[%d, %d] L_Sigma = diag_pre_multiply(sqrtD_Phi, L_Omega);", k, k) + tparSigma <- sprintf("matrix[%d, %d] SIGMA_XI = L_Sigma * L_Sigma';", k, k) + tparMuXi <- sprintf("row_vector[%d] MU_XI = rep_row_vector(1, %d);", k, k) + # tparXi <- sprintf("matrix[N, %d] XI_Matrix = Z_XI_Matrix * L_Sigma';", k) + + xiVectors <- NULL + for (i in seq_along(xis)) { + name <- xis[[i]] + xiVector <- sprintf("vector[N] %s = col(XI_Matrix, %d);", name, i) + xiVectors <- c(xiVectors, xiVector) + } + + tparXiVectors <- collapse(xiVectors) # model {} - modXi <- sprintf("%s ~ normal(0, %s);", xi, labSD) + modLOmega <- sprintf("L_Omega ~ lkj_corr_cholesky(1);") + # modZXiMat <- "to_vector(Z_XI_Matrix) ~ normal(0, 1);" + modXiMat <- "for (n in 1:N) {XI_Matrix[n,] ~ multi_normal(MU_XI, SIGMA_XI);}" - parameters <- collapse(parValues, parSD) + parameters <- collapse(parLOmega, parSqrtDPhi, parXiMat) + tparameters <- collapse(tparLSigma, tparSigma, tparXiVectors, tparMuXi) + model <- collapse(modLOmega, modXiMat) - list(parameters = parameters, model = modXi) + list(parameters = parameters, transformed_parameters = tparameters, + model = model) } + STAN_PAR_ETA <- function(eta) { indeps <- unique(parTable[parTable$lhs == eta & parTable$op == "~", "rhs"]) @@ -178,6 +213,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE) { list(parameters = parameters, model = modEta) } + STAN_COMPUTED_PRODUCTS <- function(intTerms) { transformed_parameters <- NULL @@ -193,7 +229,8 @@ compile_stan_model <- function(model.syntax, compile = TRUE) { } list(transformed_parameters = collapse(transformed_parameters)) - } + } + STAN_COMPUTED_COVARIANCES <- function(vars) { vars <- stringr::str_replace_all(vars, pattern = ":", replacement = "__XWITH__") @@ -214,6 +251,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE) { list(generated_quantities = collapse(generated_quantities)) } + STAN_COMPUTED_VARIANCES <- function(vars) { vars <- stringr::str_replace_all(vars, pattern = ":", replacement = "__XWITH__") generated_quantities <- NULL @@ -229,6 +267,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE) { list(generated_quantities = collapse(generated_quantities)) } + add2block <- function(FUN, ...) { blocks <- FUN(...) @@ -264,13 +303,12 @@ compile_stan_model <- function(model.syntax, compile = TRUE) { for (lV in lVs) add2block(STAN_INDS_LV, lV = lV) - for (xi in xis) add2block(STAN_PAR_XI, xi = xi) for (eta in etas) add2block(STAN_PAR_ETA, eta = eta) + add2block(STAN_PAR_XIS, xis = xis) add2block(STAN_COMPUTED_PRODUCTS, intTerms = intTerms) add2block(STAN_COMPUTED_COVARIANCES, vars = c(xis, intTerms)) - add2block(STAN_COMPUTED_VARIANCES, vars = intTerms) - # add2block(STAN_COMPUTED_COVARIANCES, vars = etas) # These should be residual variances... + add2block(STAN_COMPUTED_VARIANCES, vars = c(xis, intTerms)) stanModelSyntax <- sprintf(STAN_SYNTAX_BLOCKS, FUNCTIONS, DATA, PARAMETERS, diff --git a/R/modsem_stan.R b/R/modsem_stan.R index 2a95e201..4306d892 100644 --- a/R/modsem_stan.R +++ b/R/modsem_stan.R @@ -38,6 +38,7 @@ modsem_stan <- function(model.syntax = NULL, lVs <- compiled_model$info$lVs indsLVs <- compiled_model$info$indsLVs + inds <- unique(unlist(indsLVs)) stan_data <- get_stan_data(compiled_model = compiled_model, data = data) @@ -63,7 +64,7 @@ modsem_stan <- function(model.syntax = NULL, lhs <- lr[, 1] rhs <- lr[, 2] - isSD <- lhs == rhs & op == "~~" & !grepl(":", lhs) & !grepl(":", rhs) + isSD <- lhs == rhs & op == "~~" & (lhs %in% inds | rhs %in% inds) samples[, isSD] <- samples[, isSD]^2 coefs <- apply(samples, MARGIN = 2, FUN = mean) From e26500db22c05d245f4d72e42cc0d9a1f55df213 Mon Sep 17 00:00:00 2001 From: kss Date: Thu, 31 Jul 2025 18:22:17 +0200 Subject: [PATCH 09/51] Finialize initial implementation --- R/create_stan_model.R | 28 +++------ R/standardized_solution.R | 8 ++- tests/testthat/test_modsem_stan.R | 96 ++++++++++++++++++++++--------- 3 files changed, 82 insertions(+), 50 deletions(-) diff --git a/R/create_stan_model.R b/R/create_stan_model.R index 57a37912..869e40bf 100644 --- a/R/create_stan_model.R +++ b/R/create_stan_model.R @@ -26,18 +26,6 @@ parameters { transformed parameters { %s -// print(\"L_Omega)\"); -// print(L_Omega); -// print(\"sqrtD_Phi\"); -// print(sqrtD_Phi); -// print(\"L_Sigma)\"); -// print(L_Sigma); -// print(\"head(X)\"); -// print(X[1:5]); -// print(\"head(Z)\"); -// print(Z[1:5]); -// print(\"head(X__XWITH__Z)\"); -// print(X__XWITH__Z[1:5]); } model { @@ -163,10 +151,11 @@ STAN_PAR_XIS <- function(xis) { parXiMat <- sprintf("matrix[N, %d] XI_Matrix;", k) # transformed parameters {} - tparLSigma <- sprintf("matrix[%d, %d] L_Sigma = diag_pre_multiply(sqrtD_Phi, L_Omega);", k, k) - tparSigma <- sprintf("matrix[%d, %d] SIGMA_XI = L_Sigma * L_Sigma';", k, k) - tparMuXi <- sprintf("row_vector[%d] MU_XI = rep_row_vector(1, %d);", k, k) - # tparXi <- sprintf("matrix[N, %d] XI_Matrix = Z_XI_Matrix * L_Sigma';", k) + tparLSigma <- sprintf("matrix[%d, %d] L_Sigma = diag_pre_multiply(sqrtD_Phi, L_Omega);", k, k) + tparMuXi <- sprintf("row_vector[%d] MU_XI = rep_row_vector(0, %d);", k, k) + tparXiArr <- sprintf("array[N] vector[%d] XI_Array;", k) + tparXiArrFill <- "for (i in 1:N) {XI_Array[i] = (XI_Matrix[i, ])';}" + tparXi <- sprintf("matrix[N, %d] XI_Matrix = Z_XI_Matrix * L_Sigma';", k) xiVectors <- NULL for (i in seq_along(xis)) { @@ -180,11 +169,12 @@ STAN_PAR_XIS <- function(xis) { # model {} modLOmega <- sprintf("L_Omega ~ lkj_corr_cholesky(1);") # modZXiMat <- "to_vector(Z_XI_Matrix) ~ normal(0, 1);" - modXiMat <- "for (n in 1:N) {XI_Matrix[n,] ~ multi_normal(MU_XI, SIGMA_XI);}" + # modXiMat <- "for (n in 1:N) {XI_Matrix[n,] ~ multi_normal_cholesky(MU_XI, L_Sigma);}" + modXiArr <- "XI_Array ~ multi_normal_cholesky(MU_XI, L_Sigma);" parameters <- collapse(parLOmega, parSqrtDPhi, parXiMat) - tparameters <- collapse(tparLSigma, tparSigma, tparXiVectors, tparMuXi) - model <- collapse(modLOmega, modXiMat) + tparameters <- collapse(tparLSigma, tparXiVectors, tparMuXi, tparXiArr, tparXiArrFill) + model <- collapse(modLOmega, modXiArr) list(parameters = parameters, transformed_parameters = tparameters, model = model) diff --git a/R/standardized_solution.R b/R/standardized_solution.R index 6b35d6f7..95b3b902 100644 --- a/R/standardized_solution.R +++ b/R/standardized_solution.R @@ -10,8 +10,10 @@ transformedSolutionCOEFS <- function(object, stopif(!inherits(object, c("modsem_da", "modsem_pi", "lavaan", "modsem_mplus", "modsem_stan")), "The model must be of class `modsem_da`, `modsem_mplus`, `modsem_pi`, `modsem_stan` or `lavaan`!") - isLavStan <- inherits(object, c("lavaan", "modsem_stan")) - isDA <- inherits(object, c("modsem_da", "modsem_mplus")) + isLav <- inherits(object, "lavaan") + isStan <- inherits(object, "modsem_stan") + isLavStan <- isLav || isStan + isDA <- inherits(object, c("modsem_da", "modsem_mplus")) if (isLavStan) { vcov <- lavaan::vcov # load vcov and coef from lavaan if dealing with a lavaan object @@ -34,7 +36,7 @@ transformedSolutionCOEFS <- function(object, parTable <- rename(parTable, se = "std.error") } - if (center && (isLavStan || isDA)) { # not relevant for modsem_pi + if (center && (isLav || isDA)) { # not relevant for modsem_pi and modsem_stan warnif(isLavStan, "Replacing interaction (co-)", "variances when centering the model!\n", immediate. = FALSE) diff --git a/tests/testthat/test_modsem_stan.R b/tests/testthat/test_modsem_stan.R index 86b98bcd..6b094c60 100644 --- a/tests/testthat/test_modsem_stan.R +++ b/tests/testthat/test_modsem_stan.R @@ -3,9 +3,19 @@ devtools::load_all() library(mvtnorm) library(rstan) -rstan_options(auto_write = TRUE) # cache compiled models +rstan_options(auto_write = TRUE, threads_per_chain = 4) # cache compiled models options(mc.cores = parallel::detectCores()) +# Here we estimate the models using STAN. +# We're essentially specifying the models as +# Bayesian models with flat priors for the model +# parameters, mimicking ML-estimation + + +# ------------------------------------------------------------------------------ +# Two-way Interaction +# ------------------------------------------------------------------------------ + m1 <- ' X =~ x1 + x2 + x3 Z =~ z1 + z2 + z3 @@ -14,16 +24,32 @@ m1 <- ' Y ~ X + Z + X:Z ' -compiled_model <- compile_stan_model(m1) +# First we compile the STAN model, this can be slow +# and is therefore done once, such that the compiled +# STAN code can be reused for the same model syntax later +compiled_model.2way <- compile_stan_model(m1) +cat(compiled_model$syntax) + +# Fit the model based on the compiled STAN code +fit.2way <- modsem_stan(compiled_model = compiled_model.2way, + data = oneInt, iter = 2000, chains = 2) +# We can get a summary +summary(fit.2way) + +# We can also get the standardized (and unstandardized) +# estimates +standardized_estimates(fit.2way) +parameter_estimates(fit.2way) -fit <- modsem_stan(compiled_model = compiled_model, - data = oneInt, iter = 4000) -summary(fit) -standardized_estimates(fit) -set.seed(29723234) +# ------------------------------------------------------------------------------ +# Three-way Interaction +# ------------------------------------------------------------------------------ -n <- 2000 +# Simulate data + +set.seed(29723234) +n <- 500 Sigma <- matrix(c( 1.2, 0.7, 0.8, 0.7, 1.8, 0.6, @@ -42,24 +68,25 @@ Y <- 1.2 * X + 0.4 * Z + 0.7 * W + 1.2 * X * Z + 2.2 * X * Z * W + rnorm(n, sd = sqrt(2)) -createInd <- \(x, lambda, epsilon = 0.2) lambda * x + rnorm(n, sd = sqrt(epsilon)) - +createInd <- \(x, lambda, tau, epsilon = 0.2) { + tau + lambda * x + rnorm(n, sd = sqrt(epsilon)) +} -x1 <- createInd(X, 1) -x2 <- createInd(X, 0.8) -x3 <- createInd(X, 0.9) +x1 <- createInd(X, 1.0, 1.2) +x2 <- createInd(X, 0.8, 0.8) +x3 <- createInd(X, 0.9, 1.0) -z1 <- createInd(Z, 1) -z2 <- createInd(Z, 0.8) -z3 <- createInd(Z, 0.9) +z1 <- createInd(Z, 1.0, 1.2) +z2 <- createInd(Z, 0.8, 0.8) +z3 <- createInd(Z, 0.9, 1.0) -w1 <- createInd(W, 1) -w2 <- createInd(W, 0.8) -w3 <- createInd(W, 0.9) +w1 <- createInd(W, 1.0, 1.2) +w2 <- createInd(W, 0.8, 0.8) +w3 <- createInd(W, 0.9, 1.0) -y1 <- createInd(Y, 1) -y2 <- createInd(Y, 0.8) -y3 <- createInd(Y, 0.9) +y1 <- createInd(Y, 1.0, 1.2) +y2 <- createInd(Y, 0.8, 0.8) +y3 <- createInd(Y, 0.9, 1.0) data.3way <- data.frame(x1, x2, x3, z1, z2, z3, @@ -82,16 +109,29 @@ m.3way <- ' # 2.2 * X:Z:W + ' -# Compile a STAN model based on the lavaan syntax to save -# time when re-estimating the model, -# I.e., we don't want to compile each iteraction of the simulation -compiled_model_3way <- compile_stan_model(m.3way) +# First we compile the STAN model, this can be slow +# and is therefore done once, such that the compiled +# STAN code can be reused for the same model syntax later +compiled_model.3way <- compile_stan_model(m.3way) + +# Fit the model based on the compiled STAN code fit.3way <- modsem_stan( compiled_model = compiled_model_3way, data = data.3way, chains = 2, - iter = 4000 + iter = 4000 # More iterations should yield more stable estimates ) - +#> Regressions: +#> Estimate Std.Error z.value P(>|z|) +#> Y ~ +#> X 1.040 0.159 6.535 0.000 +#> Z 0.423 0.128 3.296 0.001 +#> W 0.696 0.126 5.524 0.000 +#> X:Z 1.385 0.173 8.023 0.000 +#> X:W 0.733 0.175 4.193 0.000 +#> Z:W 0.190 0.178 1.070 0.284 +#> X:Z:W 2.227 0.107 20.731 0.000 + +summary(fit.3way) standardized_estimates(fit.3way) parameter_estimates(fit.3way) From ab44421e7f8aa0862ea37687ee4377205fc4b1a1 Mon Sep 17 00:00:00 2001 From: kss Date: Thu, 31 Jul 2025 18:23:01 +0200 Subject: [PATCH 10/51] Add `rstan` to dependencies --- DESCRIPTION | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/DESCRIPTION b/DESCRIPTION index ec1b0c92..6c5ef1e6 100644 --- a/DESCRIPTION +++ b/DESCRIPTION @@ -59,7 +59,7 @@ RoxygenNote: 7.3.2 LinkingTo: Rcpp, RcppArmadillo Imports: Rcpp, purrr, stringr, lavaan, rlang, MplusAutomation, nlme, dplyr, mvnfast, stats, fastGHQuad, mvtnorm, ggplot2, parallel, plotly, Deriv, MASS, Amelia, - grDevices, cli + grDevices, cli, rstan Depends: R (>= 4.1.0) URL: https://modsem.org From e6564aa1e2ef443263a4f79b11f30e3e5fd718b0 Mon Sep 17 00:00:00 2001 From: kss2k Date: Sat, 2 Aug 2025 12:14:18 +0200 Subject: [PATCH 11/51] Square residual standard deviations for etas, not just indicators --- R/create_stan_model.R | 2 +- R/modsem_stan.R | 4 +++- 2 files changed, 4 insertions(+), 2 deletions(-) diff --git a/R/create_stan_model.R b/R/create_stan_model.R index 869e40bf..b2563061 100644 --- a/R/create_stan_model.R +++ b/R/create_stan_model.R @@ -141,7 +141,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE) { list(parameters = parameters, model = model, data = data) } -STAN_PAR_XIS <- function(xis) { + STAN_PAR_XIS <- function(xis) { k <- length(xis) # parameters {} diff --git a/R/modsem_stan.R b/R/modsem_stan.R index 4306d892..48d73dd5 100644 --- a/R/modsem_stan.R +++ b/R/modsem_stan.R @@ -39,6 +39,8 @@ modsem_stan <- function(model.syntax = NULL, lVs <- compiled_model$info$lVs indsLVs <- compiled_model$info$indsLVs inds <- unique(unlist(indsLVs)) + etas <- compiled_model$info$etas + deps <- c(inds, etas) stan_data <- get_stan_data(compiled_model = compiled_model, data = data) @@ -64,7 +66,7 @@ modsem_stan <- function(model.syntax = NULL, lhs <- lr[, 1] rhs <- lr[, 2] - isSD <- lhs == rhs & op == "~~" & (lhs %in% inds | rhs %in% inds) + isSD <- lhs == rhs & op == "~~" & (lhs %in% deps | rhs %in% deps) samples[, isSD] <- samples[, isSD]^2 coefs <- apply(samples, MARGIN = 2, FUN = mean) From e9029c3b3cb486d5fb4aa32fbc21f10a2b5d5adb Mon Sep 17 00:00:00 2001 From: kss2k Date: Sat, 2 Aug 2025 13:48:03 +0200 Subject: [PATCH 12/51] Exclude nuisance parameters in `rstan::sampling` --- R/create_stan_model.R | 12 ++++++++++-- R/modsem_stan.R | 14 ++++++++------ 2 files changed, 18 insertions(+), 8 deletions(-) diff --git a/R/create_stan_model.R b/R/create_stan_model.R index b2563061..df38a633 100644 --- a/R/create_stan_model.R +++ b/R/create_stan_model.R @@ -46,7 +46,7 @@ generated quantities { #' @param compile Should compilation be performed? If \code{FALSE} only the \code{STAN} #' is generated, and not compiled. compile_stan_model <- function(model.syntax, compile = TRUE) { - message("Compiling STAN model...") + message("Compiling Stan model...") parTable <- modsemify(model.syntax) @@ -111,6 +111,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE) { TRANSFORMED_PARAMETERS <- NULL MODEL <- NULL GENERATED_QUANTITIES <- NULL + EXCLUDE.PARS <- NULL STAN_INDS_LV <- function(lV) { @@ -176,6 +177,8 @@ compile_stan_model <- function(model.syntax, compile = TRUE) { tparameters <- collapse(tparLSigma, tparXiVectors, tparMuXi, tparXiArr, tparXiArrFill) model <- collapse(modLOmega, modXiArr) + EXCLUDE.PARS <<- c(EXCLUDE.PARS, "XI_Array", "XI_Matrix", xis) + list(parameters = parameters, transformed_parameters = tparameters, model = model) } @@ -200,6 +203,8 @@ compile_stan_model <- function(model.syntax, compile = TRUE) { parameters <- collapse(parValues, parSD, parBeta) + EXCLUDE.PARS <<- c(EXCLUDE.PARS, eta) + list(parameters = parameters, model = modEta) } @@ -216,6 +221,8 @@ compile_stan_model <- function(model.syntax, compile = TRUE) { transformed_parameters, sprintf("vector[N] %s = %s;", nameIntTerm, prodEq) ) + + EXCLUDE.PARS <<- c(EXCLUDE.PARS, nameIntTerm) } list(transformed_parameters = collapse(transformed_parameters)) @@ -315,7 +322,8 @@ compile_stan_model <- function(model.syntax, compile = TRUE) { etas = etas, indsLVs = indsLVs, allIndsXis = allIndsXis, - allIndsEtas = allIndsEtas)) + allIndsEtas = allIndsEtas, + exclude.pars = unique(EXCLUDE.PARS))) } diff --git a/R/modsem_stan.R b/R/modsem_stan.R index 48d73dd5..59c7d3ed 100644 --- a/R/modsem_stan.R +++ b/R/modsem_stan.R @@ -44,12 +44,14 @@ modsem_stan <- function(model.syntax = NULL, stan_data <- get_stan_data(compiled_model = compiled_model, data = data) - message("Sampling STAN model...") - fit <- rstan::sampling(object = compiled_model$stan_model, - data = stan_data, - chains = chains, - iter = iter, - warmup = warmup, + message("Sampling Stan model...") + fit <- rstan::sampling(object = compiled_model$stan_model, + data = stan_data, + chains = chains, + iter = iter, + warmup = warmup, + pars = compiled_model$info$exclude.pars, + include = FALSE, ...) samples <- as.matrix(fit) From aeca366505f388a63f9ae743b93835634ba72612 Mon Sep 17 00:00:00 2001 From: kss Date: Sat, 2 Aug 2025 15:57:17 +0200 Subject: [PATCH 13/51] Fix typos in `tests/testthta/test_modsem_stan.R` --- tests/testthat/test_modsem_stan.R | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/tests/testthat/test_modsem_stan.R b/tests/testthat/test_modsem_stan.R index 6b094c60..e85db403 100644 --- a/tests/testthat/test_modsem_stan.R +++ b/tests/testthat/test_modsem_stan.R @@ -28,7 +28,7 @@ m1 <- ' # and is therefore done once, such that the compiled # STAN code can be reused for the same model syntax later compiled_model.2way <- compile_stan_model(m1) -cat(compiled_model$syntax) +cat(compiled_model.2way$syntax) # Fit the model based on the compiled STAN code fit.2way <- modsem_stan(compiled_model = compiled_model.2way, @@ -116,10 +116,10 @@ compiled_model.3way <- compile_stan_model(m.3way) # Fit the model based on the compiled STAN code fit.3way <- modsem_stan( - compiled_model = compiled_model_3way, + compiled_model = compiled_model.3way, data = data.3way, chains = 2, - iter = 4000 # More iterations should yield more stable estimates + iter = 6000 # More iterations should yield more stable estimates ) #> Regressions: #> Estimate Std.Error z.value P(>|z|) From 3297764f8abd84b20b916f8eefc36c1f3240ce7b Mon Sep 17 00:00:00 2001 From: kss2k Date: Fri, 1 Aug 2025 14:11:42 +0200 Subject: [PATCH 14/51] More error handling in quasi-adaptive quadrature --- R/quadrature.R | 14 +++++++++++--- 1 file changed, 11 insertions(+), 3 deletions(-) diff --git a/R/quadrature.R b/R/quadrature.R index 7c1410e6..6272f880 100644 --- a/R/quadrature.R +++ b/R/quadrature.R @@ -66,7 +66,11 @@ adaptiveGaussQuadrature <- function(fun, tol = 1e-12, mdiff.tol = 2, ...) { - if (k == 0 || m == 0) return(list(n = matrix(0), w = 1, f = NA, m = 1, k = 1)) + if (k == 0 || m == 0) + return(list(n = matrix(0), w = 1, f = NA, m = 1, k = 1)) + + stopif(tol >= 1 || tol < 0, + "`adaptive.quad.tol` must be in the boundary `[0, 1)`") if (k <= 1) { out <- adaptiveGaussQuadratureK( @@ -129,7 +133,11 @@ adaptiveGaussQuadratureK <- function(fun, tol = 1e-12, mdiff.tol = 2, ...) { - if (k == 0 || m == 0) return(list(n = matrix(0), w = 1, f = NA, m = 1, k = 1)) + if (k == 0 || m == 0) + return(list(n = matrix(0), w = 1, f = NA, m = 1, k = 1)) + + if (is.null(m.ceil) || is.na(m.ceil) || m.ceil <= 0) + m.ceil <- round(estMForNodesInRange(m, a = -5, b = 5)) quad <- quadrature(m = m.ceil, k = 1) @@ -192,7 +200,7 @@ adaptiveGaussQuadratureK <- function(fun, I.cur <- I.cur - sum(contributions[removable]) } - lower <- min(quadn) + lower <- min(quadn) upper <- max(quadn) diff.m <- NROW(quadn) - m From 14bc6dba9bc1836616132b46541916eadad6adcf Mon Sep 17 00:00:00 2001 From: Kjell S Slupphaug Date: Sun, 3 Aug 2025 17:19:14 +0200 Subject: [PATCH 15/51] Don't count new-line character in `getWidthPrintedParTable()` --- R/print_partable.R | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/R/print_partable.R b/R/print_partable.R index 09415a07..800b5006 100644 --- a/R/print_partable.R +++ b/R/print_partable.R @@ -338,7 +338,7 @@ getWidthPrintedParTable <- function(parTable, space <- stringr::str_dup(" ", spacing) fStrHeader <- stringr::str_c(header[-(1:3)], collapse = space) - formattedHeader <- paste0(pad, fStrHeader, "\n") + formattedHeader <- paste0(pad, fStrHeader) nchar(formattedHeader) } From 55e122643a7abcba3591813a5f578dbd676ba89f Mon Sep 17 00:00:00 2001 From: kss Date: Sun, 3 Aug 2025 17:41:17 +0200 Subject: [PATCH 16/51] Better summary for `modsem_stan` --- NAMESPACE | 2 + R/create_stan_model.R | 163 ++++++------------------------ R/modsem_stan.R | 29 ++++-- R/print_partable.R | 2 +- R/summarize_partable.R | 14 ++- man/compile_stan_model.Rd | 4 +- tests/testthat/test_modsem_stan.R | 10 +- 7 files changed, 72 insertions(+), 152 deletions(-) diff --git a/NAMESPACE b/NAMESPACE index 0c26035d..264a1819 100644 --- a/NAMESPACE +++ b/NAMESPACE @@ -88,6 +88,7 @@ export(bootstrap_modsem) export(centered_estimates) export(colorize_output) export(compare_fit) +export(compile_stan_model) export(default_settings_da) export(default_settings_pi) export(estimate_h0) @@ -104,6 +105,7 @@ export(modsem_mplus) export(modsem_nobs) export(modsem_pi) export(modsem_predict) +export(modsem_stan) export(modsem_vcov) export(modsemify) export(parameter_estimates) diff --git a/R/create_stan_model.R b/R/create_stan_model.R index df38a633..bb8ac4a0 100644 --- a/R/create_stan_model.R +++ b/R/create_stan_model.R @@ -1,3 +1,9 @@ +STAN_LAVAAN_MODELS <- rlang::env( + syntaxes = NULL, + compiled = NULL +) + + STAN_OPERATOR_LABELS <- c( "__INTERCEPT" = "~1", "__REGRESSION__" = "~", @@ -45,9 +51,9 @@ generated quantities { #' @param model.syntax \code{lavaan} syntax. #' @param compile Should compilation be performed? If \code{FALSE} only the \code{STAN} #' is generated, and not compiled. -compile_stan_model <- function(model.syntax, compile = TRUE) { - message("Compiling Stan model...") - +#' @param force Should compilation of previously compiled models be forced? +#' @export +compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { parTable <- modsemify(model.syntax) # endogenous variables (etas)model @@ -298,7 +304,6 @@ compile_stan_model <- function(model.syntax, compile = TRUE) { } } - for (lV in lVs) add2block(STAN_INDS_LV, lV = lV) for (eta in etas) add2block(STAN_PAR_ETA, eta = eta) @@ -312,8 +317,27 @@ compile_stan_model <- function(model.syntax, compile = TRUE) { TRANSFORMED_PARAMETERS, MODEL, GENERATED_QUANTITIES) - if (compile) stanModel <- rstan::stan_model(model_code = stanModelSyntax) - else stanModel <- NULL + SYNTAXES <- STAN_LAVAAN_MODELS$syntaxes + COMPILED <- STAN_LAVAAN_MODELS$compiled + match <- STAN_LAVAAN_MODELS$syntaxes == model.syntax + + if (compile && any(match) && !force) { + message("Reusing compiled Stan model...") + stanModel <- last(COMPILED[match]) # if a duplicate somehow appears, pick last/newest match + + } else if (compile) { + message("Compiling Stan model...") + + stanModel <- rstan::stan_model(model_code = stanModelSyntax) + + SYNTAXES <- c(SYNTAXES, model.syntax) + COMPILED <- c(COMPILED, stanModel) + + STAN_LAVAAN_MODELS$syntaxes <- SYNTAXES + STAN_LAVAAN_MODELS$compiled <- COMPILED + + } else stanModel <- NULL + list(syntax = stanModelSyntax, stan_model = stanModel, @@ -327,7 +351,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE) { } -get_stan_data <- function(compiled_model, data, impute.na = FALSE) { +getStanData <- function(compiled_model, data, impute.na = FALSE) { lVs <- compiled_model$info$lVs indsLVs <- compiled_model$info$indsLVs allIndsXis <- compiled_model$info$allIndsXis @@ -346,128 +370,3 @@ get_stan_data <- function(compiled_model, data, impute.na = FALSE) { stan_data } - - -EXAMPLE_STAN_SYNTAX_3WAY <- ' -// sem_latent_interaction.stan (updated) -// SEM with three latent factors (X, Z, Y) and latent interaction X×Z → Y -// Identification: first loading fixed to 1; *latent means constrained to 0*. -// All nine indicator intercepts τ are now free. - -functions { - // empirical covariance helper (for generated quantities) - real cov_vector(vector a, vector b) { - return (dot_self(a - mean(a)))/(num_elements(a)-1); - } -} - -data { - int N; // sample size - matrix[N, 12] Y; // observed indicators (x1–x3, z1–z3, y1–y3) -} - -parameters { - //-------------------------------------- - // Measurement part - //-------------------------------------- - vector[2] lambda_x; // loadings: x2, x3 - vector[2] lambda_z; // loadings: z2, z3 - vector[2] lambda_w; // loadings: w2, w3 - vector[2] lambda_y; // loadings: y2, y3 - - vector[12] tau; // ALL indicator intercepts free - vector[12] sigma_e; // residual SDs - - //-------------------------------------- - // Latent part - //-------------------------------------- - real sigma_X; - real sigma_Z; - real sigma_W; - real sigma_Y; - - real beta_X; // structural slopes - real beta_Z; - real beta_W; - real beta_XZ; - real beta_XW; - real beta_ZW; - real beta_XZW; - - vector[N] X; // person‑level latent scores - vector[N] Z; - vector[N] W; - vector[N] Y_lat; // endogenous latent Y -} - -transformed parameters { - vector[N] XZ = X .* Z; // latent interaction term - vector[N] XW = X .* W; // latent interaction term - vector[N] ZW = Z .* W; // latent interaction term - vector[N] XZW = X .* ZW; // latent interaction term -} - -model { - //-------------------------------------- - // Priors - //-------------------------------------- - // lambda_x ~ normal(1, 1); - // lambda_z ~ normal(1, 1); - // lambda_y ~ normal(1, 1); - - // tau ~ normal(0, 2); - - // sigma_X ~ exponential(1); - // sigma_Z ~ exponential(1); - // sigma_Y ~ exponential(1); - // sigma_e ~ exponential(1); - - // beta_X ~ normal(0, 1); - // beta_Z ~ normal(0, 1); - // beta_XZ ~ normal(0, 1); - - //-------------------------------------- - // Latent variable distributions (means fixed to 0) - //-------------------------------------- - X ~ normal(0, sigma_X); - Z ~ normal(0, sigma_Z); - W ~ normal(0, sigma_W); - Y_lat ~ normal(beta_X * X + - beta_Z * Z + - beta_W * W + - beta_XZ * XZ + - beta_XW * XW + - beta_ZW * ZW + - beta_XZW * XZW, - sigma_Y); - - //-------------------------------------- - // Measurement model - //-------------------------------------- - // X indicators - Y[,1] ~ normal(tau[1] + X, sigma_e[1]); // x1 (λ fixed = 1) - Y[,2] ~ normal(tau[2] + lambda_x[1] * X, sigma_e[2]); // x2 - Y[,3] ~ normal(tau[3] + lambda_x[2] * X, sigma_e[3]); // x3 - - // Z indicators - Y[,4] ~ normal(tau[4] + Z, sigma_e[4]); // z1 (λ fixed = 1) - Y[,5] ~ normal(tau[5] + lambda_z[1] * Z, sigma_e[5]); // z2 - Y[,6] ~ normal(tau[6] + lambda_z[2] * Z, sigma_e[6]); // z3 - - // W indicators - Y[,7] ~ normal(tau[7] + W, sigma_e[7]); // y1 (λ fixed = 1) - Y[,8] ~ normal(tau[8] + lambda_w[1] * W, sigma_e[8]); // y2 - Y[,9] ~ normal(tau[9] + lambda_w[2] * W, sigma_e[9]); // y3 - - // Y indicators - Y[,10] ~ normal(tau[10] + Y_lat, sigma_e[10]); // y1 (λ fixed = 1) - Y[,11] ~ normal(tau[11] + lambda_y[1] * Y_lat, sigma_e[11]); // y2 - Y[,12] ~ normal(tau[12] + lambda_y[2] * Y_lat, sigma_e[12]); // y3 -} - -generated quantities { - real cov_XZ = cov_vector(X, Z); - real cov_XW = cov_vector(X, W); - real cov_ZW = cov_vector(Z, W); -} -' diff --git a/R/modsem_stan.R b/R/modsem_stan.R index 59c7d3ed..21a73496 100644 --- a/R/modsem_stan.R +++ b/R/modsem_stan.R @@ -22,6 +22,7 @@ #' default is \code{iter/2}. #' #' @param ... Arguments passed to \code{stan::sampling}. +#' @export modsem_stan <- function(model.syntax = NULL, data = NULL, compiled_model = NULL, @@ -42,7 +43,7 @@ modsem_stan <- function(model.syntax = NULL, etas <- compiled_model$info$etas deps <- c(inds, etas) - stan_data <- get_stan_data(compiled_model = compiled_model, data = data) + stan_data <- getStanData(compiled_model = compiled_model, data = data) message("Sampling Stan model...") fit <- rstan::sampling(object = compiled_model$stan_model, @@ -53,13 +54,16 @@ modsem_stan <- function(model.syntax = NULL, pars = compiled_model$info$exclude.pars, include = FALSE, ...) + diagnostics <- rstan::summary(fit)$summary + + samples <- as.matrix(fit) + samples <- samples[, !grepl("\\[[0-9]+\\]", colnames(samples))] + diagnostics <- diagnostics[colnames(samples), , drop = FALSE] - samples <- as.matrix(fit) - samples <- samples[, !grepl("\\[[0-9]+\\]", colnames(samples))] - - pars <- stringr::str_replace_all(colnames(samples), STAN_OPERATOR_LABELS) + cleanPars <- \(pars) stringr::str_replace_all(pars, STAN_OPERATOR_LABELS) + pars <- cleanPars(colnames(samples)) colnames(samples) <- pars - + OP <- "~~|=~|~1|~" op <- stringr::str_extract(pars, pattern = OP) op[is.na(op)] <- ":=" @@ -73,19 +77,23 @@ modsem_stan <- function(model.syntax = NULL, coefs <- apply(samples, MARGIN = 2, FUN = mean) vcov <- cov(samples) + rhat <- diagnostics[, "Rhat"] + neff <- diagnostics[, "n_eff"] se <- sqrt(diag(vcov)) parTable <- data.frame( lhs = lhs, op = op, rhs = rhs, est = coefs, std.error = se, z.value = coefs / se, p.value = 2 * stats::pnorm(-abs(coefs / se)), - ci.lower = coefs - CI_WIDTH * se, ci.upper = coefs + CI_WIDTH * se + ci.lower = coefs - CI_WIDTH * se, # We could replace these with the + ci.upper = coefs + CI_WIDTH * se, # observed 5% and 95% quantiles + R.hat = rhat, n.eff = neff ) parTable <- rbind( data.frame(lhs = lVs, op = "=~", rhs = sapply(lVs, FUN = \(lV) indsLVs[[lV]][[1L]]), est = 1, std.error = NA, z.value = NA, p.value = NA, - ci.lower = NA, ci.upper = NA), + ci.lower = NA, ci.upper = NA, R.hat = NA, n.eff = NA), parTable ) @@ -99,7 +107,6 @@ modsem_stan <- function(model.syntax = NULL, vcov = vcov, samples = samples) - class(out) <- "modsem_stan" out @@ -108,7 +115,9 @@ modsem_stan <- function(model.syntax = NULL, #' @export summary.modsem_stan <- function(object, ...) { - summarize_partable(object$parTable) + parTable <- object$parTable + parTable$n.eff <- as.character(round(parTable$n.eff)) # print as integer, not float + summarize_partable(parTable) } diff --git a/R/print_partable.R b/R/print_partable.R index 800b5006..fdc07426 100644 --- a/R/print_partable.R +++ b/R/print_partable.R @@ -96,7 +96,7 @@ formatParTable <- function(parTable, maxWidth <- maxchar(c(header[[col]], parTable[[col]])) parTable[[col]] <- format(parTable[[col]], width = maxWidth, digits = digits, justify = "right", - scientific=FALSE) + nsmall = digits, scientific=FALSE) parTable[[col]] <- stringr::str_replace_all(parTable[[col]], "NA", " ") header[[col]] <- format(header[[col]], width = maxWidth, justify = "right") diff --git a/R/summarize_partable.R b/R/summarize_partable.R index b01ed923..21f06b04 100644 --- a/R/summarize_partable.R +++ b/R/summarize_partable.R @@ -59,6 +59,11 @@ summarize_partable <- function(parTable, z = "z.value" ) + standard.cols <- c("lhs", "op", "rhs", "label", "est", + "std.error", "p.value", "z.value", + "ci.lower", "ci.upper") + extra.cols <- setdiff(colnames(parTable), standard.cols) + width.out <- getWidthPrintedParTable( parTable = parTable, scientific = scientific, @@ -68,7 +73,8 @@ summarize_partable <- function(parTable, regressions = regressions, covariances = covariances, intercepts = intercepts, - variances = variances + variances = variances, + extra.cols = NULL ) info.names <- c("Number of model parameters", @@ -91,7 +97,8 @@ summarize_partable <- function(parTable, variances = variances, width.out = width.out, info.names = info.names, - info.values = info.values + info.values = info.values, + extra.cols = extra.cols ) class(out) <- c("list", "modsem_partable_summary") @@ -122,6 +129,7 @@ print.modsem_partable_summary <- function(x, ...) { regressions = x$regressions, covariances = x$covariances, intercepts = x$intercepts, - variances = x$variances + variances = x$variances, + extra.cols = x$extra.cols ) } diff --git a/man/compile_stan_model.Rd b/man/compile_stan_model.Rd index 5fc554a9..edea2ba3 100644 --- a/man/compile_stan_model.Rd +++ b/man/compile_stan_model.Rd @@ -4,13 +4,15 @@ \alias{compile_stan_model} \title{Compile \code{STAN} model based on a \code{lavaan} model} \usage{ -compile_stan_model(model.syntax, compile = TRUE) +compile_stan_model(model.syntax, compile = TRUE, force = FALSE) } \arguments{ \item{model.syntax}{\code{lavaan} syntax.} \item{compile}{Should compilation be performed? If \code{FALSE} only the \code{STAN} is generated, and not compiled.} + +\item{force}{Should compilation of previously compiled models be forced?} } \description{ Compile \code{STAN} model based on a \code{lavaan} model diff --git a/tests/testthat/test_modsem_stan.R b/tests/testthat/test_modsem_stan.R index e85db403..55dc5406 100644 --- a/tests/testthat/test_modsem_stan.R +++ b/tests/testthat/test_modsem_stan.R @@ -1,5 +1,5 @@ -devtools::load_all() - +# devtools::load_all() +library(modsem) library(mvtnorm) library(rstan) @@ -11,7 +11,6 @@ options(mc.cores = parallel::detectCores()) # Bayesian models with flat priors for the model # parameters, mimicking ML-estimation - # ------------------------------------------------------------------------------ # Two-way Interaction # ------------------------------------------------------------------------------ @@ -28,6 +27,7 @@ m1 <- ' # and is therefore done once, such that the compiled # STAN code can be reused for the same model syntax later compiled_model.2way <- compile_stan_model(m1) +compiled_model.2way <- compile_stan_model(m1) cat(compiled_model.2way$syntax) # Fit the model based on the compiled STAN code @@ -49,7 +49,7 @@ parameter_estimates(fit.2way) # Simulate data set.seed(29723234) -n <- 500 +n <- 1400 Sigma <- matrix(c( 1.2, 0.7, 0.8, 0.7, 1.8, 0.6, @@ -119,7 +119,7 @@ fit.3way <- modsem_stan( compiled_model = compiled_model.3way, data = data.3way, chains = 2, - iter = 6000 # More iterations should yield more stable estimates + iter = 10000 # More iterations should yield more stable estimates ) #> Regressions: #> Estimate Std.Error z.value P(>|z|) From bab5b7db82088d86965c2533f722713c967dde69 Mon Sep 17 00:00:00 2001 From: kss Date: Wed, 6 Aug 2025 16:51:55 +0200 Subject: [PATCH 17/51] Add Stan syntax for a generalized SEM model. For later use --- R/create_stan_model.R | 469 ++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 469 insertions(+) diff --git a/R/create_stan_model.R b/R/create_stan_model.R index bb8ac4a0..58482181 100644 --- a/R/create_stan_model.R +++ b/R/create_stan_model.R @@ -370,3 +370,472 @@ getStanData <- function(compiled_model, data, impute.na = FALSE) { stan_data } + + +# General Stan Model for estimating SEMs with interaction terms +STAN_MODEL_GENERAL <- " +// sem_latent_interaction.stan (updated) +// SEM with three latent factors (X, Z, Y) and latent interaction X×Z → Y +// Identification: first loading fixed to 1; *latent means constrained to 0*. +// All nine indicator intercepts τ are now free. + +functions { + vector getIthProduct(int i, int N_LVS, int N, matrix PRODUCTS, matrix ETA) { + + vector[N] product = rep_vector(0, N); + + int firstFound = 0; + for (j in 1:N_LVS) { + + if (PRODUCTS[i, j]) { + + if (!firstFound) { + product = ETA[, j]; + firstFound = 1; + + } else { + product = product .* ETA[, j]; + } + } + } + + return product; + } +} + + +data { + int N; // Sample size + int K; // Number of indicators + int N_XIS; // Number of xis + int N_ETAS; // Number of etas + int N_LVS; // Number of lVs + int N_INT; // Number of interaction terms + + matrix[K, N_LVS] LAMBDA; // Structure of measurement model + matrix[N_ETAS, N_LVS] GAMMA; // Structure of structural model + matrix[N_ETAS, N_INT] OMEGA; // Structure of interaction-coefficients + matrix[N_INT, N_LVS] PRODUCTS; // Structure of interaction terms + + matrix[N_LVS, N_LVS] PSI; // Structure of latent covariances + matrix[K, K] THETA; // Structure of indicator covariances + vector[K] TAU; // Structure of indicator intercepts + vector[N_LVS] ALPHA; // Structure of LV intercepts + + int N_FREE_LAMBDA; // sum(abs(LAMBDA)) + int N_FREE_GAMMA; // sum(abs(GAMMA)) + int N_FREE_OMEGA; + + int N_FREE_DIAG_THETA; // sum(abs(diag(THETA))) + int N_FREE_LOWER_THETA; // sum(abs(THETA[is.lower(THETA)])) + + int N_FREE_DIAG_PSI; // sum(abs(diag(PSI))) + int N_FREE_LOWER_PSI; // sum(abs(GAMMA[is.lower(GAMMA)])) + + int N_FREE_TAU; // sum(abs(TAU)) + int N_FREE_ALPHA; // sum(abs(ALPHA)) + + // Observed Data + matrix[N, K] Y; +} + + +parameters { + // Measurement model + vector[N_FREE_LAMBDA] lambda; + vector[N_FREE_TAU] tau; + vector[N_FREE_DIAG_THETA] theta_d; + vector[N_FREE_LOWER_THETA] theta_l; + + // Structural model + vector[N_FREE_GAMMA] gamma; + vector[N_FREE_ALPHA] alpha; + vector[N_FREE_OMEGA] omega; + vector[N_FREE_DIAG_PSI] psi_d; + vector[N_FREE_LOWER_PSI] psi_l; + + // LVs + matrix[N, N_LVS] XI; + + // Indicator disturbances + // matrix[N, K] EPSILON; +} + + +transformed parameters { + // Declare matrices + matrix[K, N_LVS] Lambda; // Structure of measurement model + matrix[N_ETAS, N_LVS] Gamma; // Structure of structural model + matrix[N_ETAS, N_INT] Omega; + + matrix[N_LVS, N_LVS] Psi; // Structure of latent covariances + matrix[K, K] Theta; // Structure of indicator covariances + vector[K] Tau; // Structure of indicator intercepts + vector[N_LVS] Alpha; // Structure of LV intercepts + + // Fill Matrices + Lambda = rep_matrix(0, K, N_LVS); + Gamma = rep_matrix(0, N_ETAS, N_LVS); + Omega = rep_matrix(0, N_ETAS, N_INT); + Theta = rep_matrix(0, K, K); + Psi = rep_matrix(0, N_LVS, N_LVS); + Tau = rep_vector(0, K); + Alpha = rep_vector(0, N_LVS); + + { + // Fill Lambda + int k = 1; + for (j in 1:N_LVS) { + real filledFirst = 0; + + for (i in 1:K) { + real fill = LAMBDA[i, j]; + + if (fill && !filledFirst) { + Lambda[i, j] = 1; + filledFirst = 1; + + } else if (fill) { + Lambda[i, j] = lambda[k]; + k = k + 1; + } + } + } + // Fill Gamma + k = 1; + for (i in 1:N_ETAS) { + for (j in 1:N_LVS) { + real fill = GAMMA[i, j]; + + if (fill) { + Gamma[i, j] = gamma[k]; + k = k + 1; + } + } + } + + // Fill OMEGA + k = 1; + for (i in 1:N_ETAS) { + for (j in 1:N_INT) { + real fill = OMEGA[i, j]; + + if (fill) { + Omega[i, j] = omega[k]; + k = k + 1; + } + } + } + + // Fill Diagonal Theta + k = 1; + for (i in 1:K) { + real fill = THETA[i, i]; + + if (fill) { + Theta[i, i] = theta_d[k]; + k = k + 1; + } + } + + // Fill Off-Diagonal Theta + k = 1; + for (i in 1:K) { + + for (j in 1:(i-1)) { + real fill = THETA[i, j]; + + if (fill) { + Theta[i, j] = theta_l[k]; + Theta[j, i] = theta_l[k]; + k = k + 1; + } + } + } + + // Fill Diagonal Psi + k = 1; + for (i in 1:N_LVS) { + real fill = PSI[i, i]; + + if (fill) { + Psi[i, i] = psi_d[k]; + k = k + 1; + } + } + + // Fill Off-Diagonal Psi + k = 1; + for (i in 1:N_LVS) { + + for (j in 1:(i-1)) { + real fill = PSI[i, j]; + + if (fill) { + Psi[i, j] = psi_l[k]; + Psi[j, i] = psi_l[k]; + k = k + 1; + } + } + } + + // Fill Alpha + k = 1; + for (i in 1:N_LVS) { + real fill = ALPHA[i]; + if (fill) { + Alpha[i] = alpha[k]; + k = k + 1; + } + } + + // Fill Tau + k = 1; + for (i in 1:K) { + real fill = TAU[i]; + + if (fill) { + Tau[i] = tau[k]; + k = k + 1; + } + } + } + + // Calculate LV values + matrix[N, N_LVS] ETA; + + for (i in 1:N_LVS) { + ETA[, i] = XI[, i]; // For xis the actual values are filled + // For etas we start with the disturbances + } + + for (i in 1:N_ETAS) { + int idx = N_XIS + i; + + for (j in 1:N_LVS) { + if (GAMMA[i, j]) { + ETA[, idx] = ETA[, idx] + Gamma[i, j] * ETA[, j]; + } + } + + for (j in 1:N_INT) { + if (OMEGA[i, j]) { + ETA[, idx] = + ETA[, idx] + Omega[i, j] * getIthProduct(j, N_LVS, N, PRODUCTS, ETA); + } + } + } + + // Calculate Expected Indicator values + matrix[N, K] X = ETA * Lambda'; + for (i in 1:K) { + X[, i] = Tau[i] + X[, i]; + } + + // DEBUGGING + // print(\"Omega\"); + // print(Omega); + // print(\"Gamma\"); + // print(Gamma); + // print(\"Lambda\"); + // print(Lambda); + // print(\"PRODUCTS\"); + // print(PRODUCTS); + // print(\"Theta\"); + // print(Theta); + // print(\"Psi\"); + // print(Psi); + + // print(\"head(ETA)\"); + // print(ETA[1:5, ]); + // + // print(\"head(XI)\"); + // print(XI[1:5, ]); + // + // print(\"head(X)\"); + // print(X[1:5, ]); + + // print(\"head(XZ)\"); + // print(getIthProduct(1, N_LVS, N, PRODUCTS, ETA)[1:5]); + + array[N] vector[N_LVS] marginalXI; + row_vector[N_LVS] marginalMeanXI = rep_row_vector(0, N_LVS); + + for (n in 1:N) { + marginalXI[n] = (XI[n, ])' - Alpha; + } + + array[N] vector[K] marginalY; + row_vector[K] marginalMeanY = rep_row_vector(0, K); + + for (n in 1:N) { + marginalY[n] = (Y[n, ] - X[n, ])'; + } +} + +model { + // Priors + // No priors (yet) + + marginalXI ~ multi_normal(marginalMeanXI, Psi); + marginalY ~ multi_normal(marginalMeanY, Theta); +} + +" + + +# Functions +specifyModelSTAN <- function(syntax = NULL, + data = NULL, + auto.fix.first = TRUE, + auto.fix.single = TRUE, + orthogonal.y = FALSE, + orthogonal.x = FALSE, + mean.observed = TRUE) { + if (!is.null(syntax)) parTable <- modsemify(syntax) + stopif(is.null(parTable), "No parTable found") + + # endogenous variables (etas)model + etas <- getSortedEtas(parTable, isLV = TRUE, checkAny = TRUE) + etas <- etas[length(etas):1] # reverse + numEtas <- length(etas) + + indsEtas <- getIndsLVs(parTable, etas) + numIndsEtas <- vapply(indsEtas, FUN.VALUE = vector("integer", 1L), + FUN = length) + allIndsEtas <- unique(unlist(indsEtas)) + numAllIndsEtas <- length(allIndsEtas) + + # exogenouts variables (xis) and interaction terms + intTerms <- unique(parTable[grepl(":", parTable$rhs), "rhs"]) + numInts <- length(intTerms) + varsInts <- stringr::str_split(intTerms, pattern = ":") + varsInts <- stats::setNames(varsInts, nm = intTerms) + allVarsInInts <- unique(unlist(varsInts)) + + xis <- getXis(parTable, checkAny = TRUE) + numXis <- length(xis) + + indsXis <- getIndsLVs(parTable, xis) + numIndsXis <- vapply(indsXis, FUN.VALUE = vector("integer", 1L), + FUN = length) + allIndsXis <- unique(unlist(indsXis)) + numAllIndsXis <- length(allIndsXis) + + lVs <- c(xis, etas) + numLVs <- length(lVs) + indsLVs <- getIndsLVs(parTable, lVs) + allInds <- c(allIndsXis, allIndsEtas) + numAllInds <- length(allInds) + + # clean data + data <- cleanAndSortData(data, allIndsXis, allIndsEtas, impute.na = impute.na) + + + # measurement model x + listLambda <- constructLambda(lVs, indsLVs, parTable = parTable, + auto.fix.first = auto.fix.first) + LAMBDA <- listLambda$numeric + LAMBDA[is.na(LAMBDA)] <- 1 + + listTau <- constructTau(lVs, indsLVs, parTable = parTable) + TAU <- listTau$numeric + TAU[is.na(TAU)] <- 1 + + listAlpha <- constructAlpha(lVs, parTable = parTable, + mean.observed = mean.observed) + ALPHA <- listAlpha$numeric + ALPHA[is.na(ALPHA)] <- 1 + + listTheta <- constructTheta(lVs, indsLVs, parTable = parTable, + auto.fix.single = auto.fix.single) + THETA <- listTheta$numeric + THETA[is.na(THETA)] <- 1 + + listGamma <- constructGamma(etas, lVs, parTable = parTable) + GAMMA <- listGamma$numeric + GAMMA[is.na(GAMMA)] <- 1 + + listOmega <- constructGamma(etas, intTerms, parTable = parTable) + OMEGA <- listOmega$numeric + OMEGA[is.na(OMEGA)] <- 1 + + listPsi <- constructPsi(etas, parTable = parTable, orthogonal.y = orthogonal.y) + psi <- listPsi$numeric + + listPhi <- constructPhi(xis, method = "qml", cov.syntax = NULL, + parTable = parTable, orthogonal.x = orthogonal.x) + phi <- listPhi$numeric + + PSI <- diagPartitionedMat(phi, psi) + PSI[is.na(PSI)] <- 1 + + PRODUCTS <- matrix(0, nrow = numInts, ncol = numLVs, dimnames = list(intTerms, lVs)) + for (intTerm in intTerms) { + elems <- varsInts[[intTerm]] + + PRODUCTS[intTerm, elems] <- 1 + } + + lowerTri <- \(X) X[lower.tri(X, diag = FALSE)] + + list(N = nrow(data), + K = numAllInds, + N_XIS = numXis, + N_ETAS = numEtas, + N_LVS = numLVs, + N_INT = numInts, + + LAMBDA = LAMBDA, + GAMMA = GAMMA, + OMEGA = OMEGA, + PRODUCTS = PRODUCTS, + + PSI = PSI, + THETA = THETA, + + ALPHA = as.vector(ALPHA), + TAU = as.vector(TAU), + + N_FREE_LAMBDA = sum(is.na(listLambda$numeric)), + N_FREE_GAMMA = sum(GAMMA), + N_FREE_OMEGA = sum(OMEGA), + + N_FREE_DIAG_THETA = sum(diag(THETA)), + N_FREE_LOWER_THETA = sum(lowerTri(THETA)), + + N_FREE_DIAG_PSI = sum(diag(PSI)), + N_FREE_LOWER_PSI = sum(lowerTri(PSI)), + + N_FREE_ALPHA = sum(ALPHA), + N_FREE_TAU = sum(TAU), + + Y = as.matrix(data) + ) +} + +## Example +# model.syntax <- ' +# X =~ x1 + x2 + x3 +# Z =~ z1 + z2 + z3 +# Y =~ y1 + y2 + y3 +# +# Y ~ X + Z + X:Z +# ' +# stan_data <- specifyModelSTAN(model.syntax, data = oneInt) +# stan_model <- stan_model(model_code = STAN_MODEL_GENERAL) +# +# fit <- sampling( +# object = stan_model, +# data = stan_data, +# chains = 2, +# iter = 2000, +# warmup = 1000 +# ) +# +# summary(fit, c("gamma")) +# summary(fit, c("omega")) +# summary(fit, c("Psi")) +# stan_rhat(fit) +# stan_trace(fit, "omega") +# stan_trace(fit, "gamma") From 5f64b841b8db6a7272356bade37cba979bc4da7d Mon Sep 17 00:00:00 2001 From: kss Date: Sun, 3 Aug 2025 20:38:11 +0200 Subject: [PATCH 18/51] Clean of style and formatting in C++ code --- src/equations_lms.cpp | 174 ++++++++++++++++++++++-------------------- src/equations_qml.cpp | 164 +++++++++++++++++++++------------------ src/mvnorm.cpp | 88 ++++++++++----------- 3 files changed, 226 insertions(+), 200 deletions(-) diff --git a/src/equations_lms.cpp b/src/equations_lms.cpp index 23c155ad..977de1ea 100644 --- a/src/equations_lms.cpp +++ b/src/equations_lms.cpp @@ -10,28 +10,29 @@ // Deprecated will remove soon... // [[Rcpp::export]] arma::vec muLmsCpp(Rcpp::List model, arma::vec z) { - Rcpp::List matrices = model["matrices"]; - Rcpp::List info = model["info"]; - Rcpp::List quad = model["quad"]; - int numXis = Rcpp::as(info["numXis"]); - int k = Rcpp::as(quad["k"]); - arma::mat A = Rcpp::as(matrices["A"]); - arma::mat Oxx = Rcpp::as(matrices["omegaXiXi"]); - arma::mat Oex = Rcpp::as(matrices["omegaEtaXi"]); - arma::mat Ie = Rcpp::as(matrices["Ieta"]); - arma::mat lY = Rcpp::as(matrices["lambdaY"]); - arma::mat lX = Rcpp::as(matrices["lambdaX"]); - arma::mat tY = Rcpp::as(matrices["tauY"]); - arma::mat tX = Rcpp::as(matrices["tauX"]); - arma::mat Gx = Rcpp::as(matrices["gammaXi"]); - arma::mat Ge = Rcpp::as(matrices["gammaEta"]); - arma::mat a = Rcpp::as(matrices["alpha"]); - arma::mat beta0 = Rcpp::as(matrices["beta0"]); + const Rcpp::List matrices = model["matrices"]; + const Rcpp::List info = model["info"]; + const Rcpp::List quad = model["quad"]; + const int numXis = Rcpp::as(info["numXis"]); + const int k = Rcpp::as(quad["k"]); + const arma::mat A = Rcpp::as(matrices["A"]); + const arma::mat Oxx = Rcpp::as(matrices["omegaXiXi"]); + const arma::mat Oex = Rcpp::as(matrices["omegaEtaXi"]); + const arma::mat Ie = Rcpp::as(matrices["Ieta"]); + const arma::mat lY = Rcpp::as(matrices["lambdaY"]); + const arma::mat lX = Rcpp::as(matrices["lambdaX"]); + const arma::mat tY = Rcpp::as(matrices["tauY"]); + const arma::mat tX = Rcpp::as(matrices["tauX"]); + const arma::mat Gx = Rcpp::as(matrices["gammaXi"]); + const arma::mat Ge = Rcpp::as(matrices["gammaEta"]); + const arma::mat a = Rcpp::as(matrices["alpha"]); + const arma::mat beta0 = Rcpp::as(matrices["beta0"]); arma::vec zVec; if (k > 0) zVec = arma::join_cols(z, arma::zeros(numXis - k)); - else zVec = arma::zeros(numXis); - arma::mat kronZ = arma::kron(Ie, beta0 + A * zVec); + else zVec = arma::zeros(numXis); + + const arma::mat kronZ = arma::kron(Ie, beta0 + A * zVec); arma::mat Binv; if (Ie.n_cols == 1) { @@ -39,11 +40,13 @@ arma::vec muLmsCpp(Rcpp::List model, arma::vec z) { } else { Binv = arma::inv(Ie - Ge - kronZ.t() * Oex); } - arma::vec muX = tX + lX * (beta0 + A * zVec); - arma::vec muY = tY + - lY * (Binv * (a + - Gx * (beta0 + A * zVec) + + + const arma::vec muX = tX + lX * (beta0 + A * zVec); + const arma::vec muY = tY + + lY * (Binv * (a + + Gx * (beta0 + A * zVec) + kronZ.t() * Oxx * (beta0 + A * zVec))); + return arma::join_cols(muX, muY); } @@ -51,31 +54,32 @@ arma::vec muLmsCpp(Rcpp::List model, arma::vec z) { // Deprecated will remove soon... // [[Rcpp::export]] arma::mat sigmaLmsCpp(Rcpp::List model, arma::vec z) { - Rcpp::List matrices = model["matrices"]; - Rcpp::List info = model["info"]; - Rcpp::List quad = model["quad"]; - int numXis = Rcpp::as(info["numXis"]); - int k = Rcpp::as(quad["k"]); - arma::mat A = Rcpp::as(matrices["A"]); - arma::mat Oxx = Rcpp::as(matrices["omegaXiXi"]); - arma::mat Oex = Rcpp::as(matrices["omegaEtaXi"]); - arma::mat Ie = Rcpp::as(matrices["Ieta"]); - arma::mat lY = Rcpp::as(matrices["lambdaY"]); - arma::mat lX = Rcpp::as(matrices["lambdaX"]); - arma::mat tY = Rcpp::as(matrices["tauY"]); - arma::mat tX = Rcpp::as(matrices["tauX"]); - arma::mat Gx = Rcpp::as(matrices["gammaXi"]); - arma::mat Ge = Rcpp::as(matrices["gammaEta"]); - arma::mat a = Rcpp::as(matrices["alpha"]); - arma::mat beta0 = Rcpp::as(matrices["beta0"]); - arma::mat Psi = Rcpp::as(matrices["psi"]); - arma::mat d = Rcpp::as(matrices["thetaDelta"]); - arma::mat e = Rcpp::as(matrices["thetaEpsilon"]); + const Rcpp::List matrices = model["matrices"]; + const Rcpp::List info = model["info"]; + const Rcpp::List quad = model["quad"]; + const int numXis = Rcpp::as(info["numXis"]); + const int k = Rcpp::as(quad["k"]); + const arma::mat A = Rcpp::as(matrices["A"]); + const arma::mat Oxx = Rcpp::as(matrices["omegaXiXi"]); + const arma::mat Oex = Rcpp::as(matrices["omegaEtaXi"]); + const arma::mat Ie = Rcpp::as(matrices["Ieta"]); + const arma::mat lY = Rcpp::as(matrices["lambdaY"]); + const arma::mat lX = Rcpp::as(matrices["lambdaX"]); + const arma::mat tY = Rcpp::as(matrices["tauY"]); + const arma::mat tX = Rcpp::as(matrices["tauX"]); + const arma::mat Gx = Rcpp::as(matrices["gammaXi"]); + const arma::mat Ge = Rcpp::as(matrices["gammaEta"]); + const arma::mat a = Rcpp::as(matrices["alpha"]); + const arma::mat beta0 = Rcpp::as(matrices["beta0"]); + const arma::mat Psi = Rcpp::as(matrices["psi"]); + const arma::mat d = Rcpp::as(matrices["thetaDelta"]); + const arma::mat e = Rcpp::as(matrices["thetaEpsilon"]); arma::vec zVec; if (k > 0) zVec = arma::join_cols(z, arma::zeros(numXis - k)); - else zVec = arma::zeros(numXis); - arma::mat kronZ = arma::kron(Ie, beta0 + A * zVec); + else zVec = arma::zeros(numXis); + + const arma::mat kronZ = arma::kron(Ie, beta0 + A * zVec); arma::mat Binv; if (Ie.n_cols == 1) { @@ -86,11 +90,13 @@ arma::mat sigmaLmsCpp(Rcpp::List model, arma::vec z) { arma::mat Oi = arma::eye(numXis, numXis); Oi.diag() = arma::join_cols(arma::zeros(k), arma::ones(numXis - k)); - arma::mat Sxx = lX * A * Oi * A.t() * lX.t() + d; - arma::mat Eta = Binv * (Gx * A + kronZ.t() * Oxx * A); - arma::mat Sxy = lX * (A * Oi * Eta.t()) * lY.t(); - arma::mat Syy = lY * Eta * Oi * Eta.t() * lY.t() + + + const arma::mat Sxx = lX * A * Oi * A.t() * lX.t() + d; + const arma::mat Eta = Binv * (Gx * A + kronZ.t() * Oxx * A); + const arma::mat Sxy = lX * (A * Oi * Eta.t()) * lY.t(); + const arma::mat Syy = lY * Eta * Oi * Eta.t() * lY.t() + lY * (Binv * Psi * Binv.t()) * lY.t() + e; + return arma::join_cols(arma::join_rows(Sxx, Sxy), arma::join_rows(Sxy.t(), Syy)); } @@ -98,13 +104,14 @@ arma::mat sigmaLmsCpp(Rcpp::List model, arma::vec z) { inline arma::mat make_Oi(unsigned k, unsigned numXis) { arma::mat Oi = arma::eye(numXis, numXis); Oi.diag() = arma::join_cols(arma::zeros(k), arma::ones(numXis - k)); + return Oi; } inline arma::vec make_zvec(unsigned k, unsigned numXis, const arma::vec& z) { if (k > 0) return arma::join_cols(z, arma::zeros(numXis - k)); - else return arma::zeros(numXis); + else return arma::zeros(numXis); } @@ -142,40 +149,40 @@ struct LMSModel { } arma::vec mu(const arma::vec& z) const { - arma::vec zVec = make_zvec(k, numXis, z); - arma::mat kronZ = arma::kron(Ie, beta0 + A * zVec); + const arma::vec zVec = make_zvec(k, numXis, z); + const arma::mat kronZ = arma::kron(Ie, beta0 + A * zVec); arma::mat Binv; if (Ie.n_cols == 1) Binv = arma::mat(Ie); - else Binv = arma::inv(Ie - Ge - kronZ.t() * Oex); + else Binv = arma::inv(Ie - Ge - kronZ.t() * Oex); - arma::vec muX = tX + lX * (beta0 + A * zVec); - arma::vec muY = tY + - lY * (Binv * (a + - Gx * (beta0 + A * zVec) + + const arma::vec muX = tX + lX * (beta0 + A * zVec); + const arma::vec muY = tY + + lY * (Binv * (a + + Gx * (beta0 + A * zVec) + kronZ.t() * Oxx * (beta0 + A * zVec))); + return arma::join_cols(muX, muY); } arma::mat Sigma(const arma::vec& z) const { - arma::vec zVec = make_zvec(k, numXis, z); - - arma::mat kronZ = arma::kron(Ie, beta0 + A * zVec); + const arma::vec zVec = make_zvec(k, numXis, z); + const arma::mat kronZ = arma::kron(Ie, beta0 + A * zVec); arma::mat Binv; if (Ie.n_cols == 1) Binv = arma::mat(Ie); - else Binv = arma::inv(Ie - Ge - kronZ.t() * Oex); + else Binv = arma::inv(Ie - Ge - kronZ.t() * Oex); - arma::mat Oi = make_Oi(k, numXis); - arma::mat Sxx = lX * A * Oi * A.t() * lX.t() + d; - arma::mat Eta = Binv * (Gx * A + kronZ.t() * Oxx * A); - arma::mat Sxy = lX * (A * Oi * Eta.t()) * lY.t(); - arma::mat Syy = lY * Eta * Oi * Eta.t() * lY.t() + + const arma::mat Oi = make_Oi(k, numXis); + const arma::mat Sxx = lX * A * Oi * A.t() * lX.t() + d; + const arma::mat Eta = Binv * (Gx * A + kronZ.t() * Oxx * A); + const arma::mat Sxy = lX * (A * Oi * Eta.t()) * lY.t(); + const arma::mat Syy = lY * Eta * Oi * Eta.t() * lY.t() + lY * (Binv * Psi * Binv.t()) * lY.t() + e; return arma::join_cols( - arma::join_rows(Sxx, Sxy), + arma::join_rows(Sxx, Sxy), arma::join_rows(Sxy.t(), Syy) ); } @@ -187,8 +194,10 @@ inline std::vector as_vec_of_vec(const Rcpp::List& L) { const std::size_t J = L.size(); std::vector out; out.reserve(J); + for (std::size_t j = 0; j < J; ++j) out.emplace_back( Rcpp::as(L[j]) ); + return out; } @@ -197,8 +206,10 @@ inline std::vector as_vec_of_mat(const Rcpp::List& L) { const std::size_t J = L.size(); std::vector out; out.reserve(J); + for (std::size_t j = 0; j < J; ++j) out.emplace_back( Rcpp::as(L[j]) ); + return out; } @@ -226,8 +237,8 @@ inline double& lms_param(LMSModel& M, std::size_t blk, template< class F > -arma::vec gradientFD(LMSModel& M, - F&& logLik, +arma::vec gradientFD(LMSModel& M, + F&& logLik, const arma::uvec& block, const arma::uvec& row, const arma::uvec& col, @@ -238,7 +249,6 @@ arma::vec gradientFD(LMSModel& M, const double f0 = logLik(M); - for (std::size_t k = 0; k < p; ++k) { double& ti = lms_param(M, block[k], row[k], col[k]); const double oldi = ti; @@ -341,7 +351,7 @@ double completeLogLikLmsCpp(Rcpp::List modelR, Rcpp::List P, Rcpp::List quad) { inline double observedLogLikFromModel(const LMSModel& M, const arma::mat& V, - const arma::vec& w, + const arma::vec& w, const arma::mat& data, const int ncores = 1) { const std::size_t n = V.n_rows; @@ -427,8 +437,8 @@ inline void set_params(LMSModel& M, template< class F > -Rcpp::List fdHessCpp(LMSModel& M, - F&& fun, +Rcpp::List fdHessCpp(LMSModel& M, + F&& fun, const arma::uvec& block, const arma::uvec& row, const arma::uvec& col, @@ -436,12 +446,12 @@ Rcpp::List fdHessCpp(LMSModel& M, double relStep = 1e-6, double minAbsPar = 0.0) { const std::size_t p = block.n_elem; - const arma::vec base = get_params(M, block, row, col); + const arma::vec base = get_params(M, block, row, col); const arma::vec incr = arma::max(arma::abs(base), arma::vec(p).fill(minAbsPar)) * relStep; - // build Koschal displacement matrix + // build Koschal displacement matrix std::vector< arma::vec > disp; disp.emplace_back(arma::zeros(p)); // origin for (std::size_t i = 0; i < p; ++i) { // +e_i / –e_i @@ -457,7 +467,7 @@ Rcpp::List fdHessCpp(LMSModel& M, } const std::size_t m = disp.size(); // total design points - // evaluate fun at every design point + // evaluate fun at every design point arma::vec y(m); for (std::size_t k = 0; k < m; ++k) { set_params(M, block, row, col, symmetric, base + disp[k] % incr); @@ -465,7 +475,7 @@ Rcpp::List fdHessCpp(LMSModel& M, } set_params(M, block, row, col, symmetric, base); // restore θ₀ - // build design matrix X + // build design matrix X const std::size_t q = 1 + 2*p + (p*(p-1))/2; // # β‐coeffs arma::mat X(m, q, arma::fill::ones); std::size_t col_id = 1; @@ -486,7 +496,7 @@ Rcpp::List fdHessCpp(LMSModel& M, for (std::size_t k = 0; k < m; ++k) X(k, col_id) = disp[k][i] * disp[k][j]; - // “frac” scaling (identical to nlme) + // “frac” scaling (identical to nlme) arma::vec frac(q, arma::fill::ones); for (std::size_t j = 0; j < p; ++j) frac[1 + j] = incr[j]; for (std::size_t j = 0; j < p; ++j) frac[1 + p + j] = incr[j] * incr[j]; @@ -495,13 +505,13 @@ Rcpp::List fdHessCpp(LMSModel& M, for (std::size_t j = i + 1; j < p; ++j, ++col_id) frac[col_id] = incr[i] * incr[j]; - // solve for polynomial coefficients + // solve for polynomial coefficients arma::vec coef = arma::solve(X, y) / frac; - // gradient (first‐order coefs) + // gradient (first‐order coefs) arma::vec grad = coef.subvec(1, p); - // Hessian + // Hessian arma::mat Hess(p, p, arma::fill::zeros); // diagonal: 2 * c_i @@ -516,7 +526,7 @@ Rcpp::List fdHessCpp(LMSModel& M, Hess(j, i) = coef[col_id]; } - // return exactly like nlme::fdHess() + // return exactly like nlme::fdHess() return Rcpp::List::create( Rcpp::Named("mean") = coef[0], Rcpp::Named("gradient") = grad, diff --git a/src/equations_qml.cpp b/src/equations_qml.cpp index 52f1938d..6de5d698 100644 --- a/src/equations_qml.cpp +++ b/src/equations_qml.cpp @@ -8,21 +8,21 @@ arma::mat muQmlCpp(Rcpp::List m, int t, int ncores = 1) { ThreadSetter ts(ncores); // set threads - int numEta = m["numEta"]; - int numXi = m["numXi"]; - arma::mat alpha = m["alpha"]; - arma::mat beta0 = m["beta0"]; - arma::mat gammaXi= m["gammaXi"]; - arma::mat omegaXiXi = m["omegaXiXi"]; - arma::mat L1 = m["L1"]; - arma::mat L2 = m["L2"]; - arma::mat X = m["x"]; - arma::mat U = m["u"]; - arma::mat Sigma1 = m["Sigma1"]; - arma::mat Binv = m["Binv"]; - arma::mat kronXi = m["kronXi"]; - - arma::vec trOmegaSigma = traceOmegaSigma1(omegaXiXi * Sigma1, numEta); + const int numEta = m["numEta"]; + const int numXi = m["numXi"]; + const arma::mat alpha = m["alpha"]; + const arma::mat beta0 = m["beta0"]; + const arma::mat gammaXi= m["gammaXi"]; + const arma::mat omegaXiXi = m["omegaXiXi"]; + const arma::mat L1 = m["L1"]; + const arma::mat L2 = m["L2"]; + const arma::mat X = m["x"]; + const arma::mat U = m["u"]; + const arma::mat Sigma1 = m["Sigma1"]; + const arma::mat Binv = m["Binv"]; + const arma::mat kronXi = m["kronXi"]; + + const arma::vec trOmegaSigma = traceOmegaSigma1(omegaXiXi * Sigma1, numEta); arma::mat Ey(t, numEta, arma::fill::none); const int lastColKOxx = numXi * numEta - 1, @@ -32,11 +32,12 @@ arma::mat muQmlCpp(Rcpp::List m, int t, int ncores = 1) { #ifdef _OPENMP #pragma omp parallel for if(ncores>1) schedule(static) #endif + for (int i = 0; i < t; ++i) { - int firstRow = i * numEta, lastRow = (i + 1) * numEta - 1; + const int firstRow = i * numEta, lastRow = (i + 1) * numEta - 1; - arma::mat kronXi_t = kronXi.submat(firstRow, 0, lastRow, lastColKOxx); - arma::mat Binv_t = Binv .submat(firstRow, 0, lastRow, lastColBinv); + const arma::mat kronXi_t = kronXi.submat(firstRow, 0, lastRow, lastColKOxx); + const arma::mat Binv_t = Binv .submat(firstRow, 0, lastRow, lastColBinv); Ey.row(i) = ( Binv_t * ( trOmegaSigma + alpha @@ -45,14 +46,15 @@ arma::mat muQmlCpp(Rcpp::List m, int t, int ncores = 1) { + L2 * U.row(i).t() ).t(); } + } else { #ifdef _OPENMP #pragma omp parallel for if(ncores>1) schedule(static) #endif - for (int i = 0; i < t; ++i) { - int firstRow = i * numEta, lastRow = (i + 1) * numEta - 1; - arma::mat kronXi_t = kronXi.submat(firstRow, 0, lastRow, lastColKOxx); + for (int i = 0; i < t; ++i) { + const int firstRow = i * numEta, lastRow = (i + 1) * numEta - 1; + const arma::mat kronXi_t = kronXi.submat(firstRow, 0, lastRow, lastColKOxx); Ey.row(i) = ( Binv * ( trOmegaSigma + alpha @@ -62,6 +64,7 @@ arma::mat muQmlCpp(Rcpp::List m, int t, int ncores = 1) { ).t(); } } + return Ey; } @@ -70,21 +73,21 @@ arma::mat muQmlCpp(Rcpp::List m, int t, int ncores = 1) { arma::mat sigmaQmlCpp(Rcpp::List m, int t, int ncores = 1) { ThreadSetter ts(ncores); - int numEta = m["numEta"]; - int numXi = m["numXi"]; - arma::mat gammaXi = m["gammaXi"]; - arma::mat omegaXiXi = m["omegaXiXi"]; - arma::mat L1 = m["L1"]; - arma::mat L2 = m["L2"]; - arma::mat X = m["x"]; - arma::mat U = m["u"]; - arma::mat Sigma1 = m["Sigma1"]; - arma::mat Sigma2Theta = m["Sigma2ThetaEpsilon"]; - arma::mat psi = m["psi"]; - arma::mat Binv = m["Binv"]; - arma::mat kronXi = m["kronXi"]; - - arma::mat varZ = varZCpp(omegaXiXi, Sigma1, numEta); + const int numEta = m["numEta"]; + const int numXi = m["numXi"]; + const arma::mat gammaXi = m["gammaXi"]; + const arma::mat omegaXiXi = m["omegaXiXi"]; + const arma::mat L1 = m["L1"]; + const arma::mat L2 = m["L2"]; + const arma::mat X = m["x"]; + const arma::mat U = m["u"]; + const arma::mat Sigma1 = m["Sigma1"]; + const arma::mat Sigma2Theta = m["Sigma2ThetaEpsilon"]; + const arma::mat psi = m["psi"]; + const arma::mat Binv = m["Binv"]; + const arma::mat kronXi = m["kronXi"]; + + const arma::mat varZ = varZCpp(omegaXiXi, Sigma1, numEta); arma::mat sigmaE(t * numEta, numEta, arma::fill::none); const int lastColSigma = numEta - 1, @@ -96,11 +99,12 @@ arma::mat sigmaQmlCpp(Rcpp::List m, int t, int ncores = 1) { #ifdef _OPENMP #pragma omp parallel for if(ncores>1) schedule(static) #endif + for (int i = 0; i < t; ++i) { const int firstRow = i * numEta, lastRow = (i + 1) * numEta - 1; const arma::mat kronXi_t = kronXi.submat(firstRow, 0, lastRow, lastColKOxx); const arma::mat Binv_t = Binv .submat(firstRow, 0, lastRow, lastColSigma); - const arma::mat Sigma2 = Binv_t * psi * Binv_t.t() + Sigma2Theta; + const arma::mat Sigma2 = Binv_t * psi * Binv_t.t() + Sigma2Theta; const arma::mat BinvGammaXi2Omega = Binv_t * gammaXi + kronXi_t * omegaXiXi2T; @@ -110,22 +114,23 @@ arma::mat sigmaQmlCpp(Rcpp::List m, int t, int ncores = 1) { Sigma2 + Binv_t * varZ * Binv_t.t(); } - } else { // Binv is common to all time points - varZ = Binv * varZ * Binv.t(); - arma::mat Sigma2 = Binv * psi * Binv.t() + Sigma2Theta; + } else { + const arma::mat BinvVarZ = Binv * varZ * Binv.t(); + const arma::mat Sigma2 = Binv * psi * Binv.t() + Sigma2Theta; #ifdef _OPENMP #pragma omp parallel for if(ncores>1) schedule(static) #endif + for (int i = 0; i < t; ++i) { const int firstRow = i * numEta, lastRow = (i + 1) * numEta - 1; const arma::mat kronXi_t = kronXi.submat(firstRow, 0, lastRow, lastColKOxx); - const arma::mat BinvGammaXi2Omega = + const arma::mat BinvGammaXi2Omega = Binv * gammaXi + kronXi_t * omegaXiXi2T; - + sigmaE.submat(firstRow, 0, lastRow, lastColSigma) = BinvGammaXi2Omega * Sigma1 * BinvGammaXi2Omega.t() + - Sigma2 + varZ; + Sigma2 + BinvVarZ; } } @@ -137,23 +142,25 @@ arma::mat sigmaQmlCpp(Rcpp::List m, int t, int ncores = 1) { arma::mat calcKronXi(Rcpp::List m, int t, int ncores = 1) { ThreadSetter ts(ncores); - int numEta = m["numEta"]; - int numXi = m["numXi"]; - arma::mat beta0 = m["beta0"]; - arma::mat L1 = m["L1"]; - arma::mat X = m["x"]; - arma::mat Ie = m["Ieta"]; + const int numEta = m["numEta"]; + const int numXi = m["numXi"]; + const arma::mat beta0 = m["beta0"]; + const arma::mat L1 = m["L1"]; + const arma::mat X = m["x"]; + const arma::mat Ie = m["Ieta"]; arma::mat out(t * numEta, numXi * numEta, arma::fill::none); #ifdef _OPENMP #pragma omp parallel for if(ncores>1) schedule(static) #endif + for (int i = 0; i < t; ++i) { out.submat(i * numEta, 0, (i + 1) * numEta - 1, numXi * numEta - 1) = arma::kron(Ie, beta0.t() + X.row(i) * L1.t()); } + return out; } @@ -162,19 +169,19 @@ arma::mat calcKronXi(Rcpp::List m, int t, int ncores = 1) { arma::mat calcBinvCpp(Rcpp::List m, int t, int ncores = 1) { ThreadSetter ts(ncores); - int numEta = m["numEta"], - numXi = m["numXi"], - kOmega = m["kOmegaEta"]; + const int numEta = m["numEta"], + numXi = m["numXi"], + kOmega = m["kOmegaEta"]; - arma::mat gammaEta = m["gammaEta"]; - arma::mat Ie = m["Ieta"]; - arma::mat B0 = Ie - gammaEta; // time-invariant part - arma::mat omegaEtaXi = m["omegaEtaXi"]; + const arma::mat gammaEta = m["gammaEta"]; + const arma::mat Ie = m["Ieta"]; + const arma::mat B0 = Ie - gammaEta; // Invariant + const arma::mat omegaEtaXi = m["omegaEtaXi"]; - if (numEta == 1) return Ie; - if (kOmega == 0) return arma::inv(B0); + if (numEta == 1) return Ie; + if (kOmega == 0) return arma::inv(B0); - arma::mat kronXi = m["kronXi"]; + const arma::mat kronXi = m["kronXi"]; arma::mat Bout(t * numEta, numEta, arma::fill::none); const int lastColB = numEta - 1, @@ -185,8 +192,11 @@ arma::mat calcBinvCpp(Rcpp::List m, int t, int ncores = 1) { #endif for (int i = 0; i < t; ++i) { - int firstRow = i * numEta, lastRow = (i + 1) * numEta - 1; - arma::mat kronXi_t = kronXi.submat(firstRow, 0, lastRow, lastColKOx); + const int firstRow = i * numEta, + lastRow = (i + 1) * numEta - 1; + + const arma::mat kronXi_t = kronXi.submat(firstRow, 0, lastRow, lastColKOx); + Bout.submat(firstRow, 0, lastRow, lastColB) = arma::inv(B0 - kronXi_t * omegaEtaXi); } @@ -196,7 +206,7 @@ arma::mat calcBinvCpp(Rcpp::List m, int t, int ncores = 1) { // [[Rcpp::export]] -arma::vec dnormCpp(const arma::vec& x, const arma::vec& mu, const arma::vec& sigma, +arma::vec dnormCpp(const arma::vec& x, const arma::vec& mu, const arma::vec& sigma, int ncores = 1) { ThreadSetter ts(ncores); @@ -208,8 +218,8 @@ arma::vec dnormCpp(const arma::vec& x, const arma::vec& mu, const arma::vec& sig #endif for (arma::uword i = 0; i < x.n_rows; ++i) { - double diff = x(i) - mu(i); - double sd = sigma(i); + const double diff = x(i) - mu(i); + const double sd = sigma(i); out(i) = -0.5 * log2pi - std::log(sd) - 0.5 * (diff * diff) / (sd * sd); } @@ -221,45 +231,49 @@ arma::vec dnormCpp(const arma::vec& x, const arma::vec& mu, const arma::vec& sig // [[Rcpp::export]] arma::mat varZCpp(arma::mat Omega, arma::mat Sigma1, int numEta) { arma::mat varZ = arma::mat(numEta, numEta); - int subRows = Omega.n_rows / numEta; + const int subRows = Omega.n_rows / numEta; + for (int i = 0; i < numEta; i++) { varZ(i, i) = varZSubOmega(Omega.submat(i * subRows, 0, (i + 1) * subRows - 1, (Omega.n_cols - 1)), Sigma1); } + return varZ; } double varZSubOmega(arma::mat Omega, arma::mat Sigma1) { - - int ds = Sigma1.n_rows; + const int ds = Sigma1.n_rows; double varZ = 0; - + for (int i = 0; i < ds; i++) { for (int j = 0; j < ds; j++) { for (int k = 0; k < ds; k++) { for (int s = 0; s < ds; s++) { - varZ += Omega(i, j) * Omega(k, s) * - (Sigma1(i, j) * Sigma1(k, s) + + varZ += Omega(i, j) * Omega(k, s) * + (Sigma1(i, j) * Sigma1(k, s) + Sigma1(i, k) * Sigma1(j, s) + Sigma1(i, s) * Sigma1(j, k)); } } } } - double trOmegaSigma1 = arma::trace(Omega * Sigma1); + + const double trOmegaSigma1 = arma::trace(Omega * Sigma1); return varZ - trOmegaSigma1 * trOmegaSigma1; } arma::vec traceOmegaSigma1(const arma::mat OmegaSigma1, const int numEta) { - arma::vec trace = arma::vec(numEta); - int subRows = OmegaSigma1.n_rows / numEta; + arma::vec trace = arma::vec(numEta); + const int subRows = OmegaSigma1.n_rows / numEta; + for (int i = 0; i < numEta; i++) { for (int j = 0; j < int(OmegaSigma1.n_cols); j++) { trace(i) += OmegaSigma1(i * subRows + j, j); - } + } } + return trace; } @@ -267,7 +281,7 @@ arma::vec traceOmegaSigma1(const arma::mat OmegaSigma1, const int numEta) { arma::mat transposeOmega(const arma::mat Omega, const int numEta) { if (numEta <= 1) return Omega.t(); - int subRows = Omega.n_rows / numEta; + const int subRows = Omega.n_rows / numEta; arma::mat OmegaT(Omega.n_rows, Omega.n_cols, arma::fill::zeros); for (int i = 0; i < numEta; i++) { diff --git a/src/mvnorm.cpp b/src/mvnorm.cpp index f9268576..f31b65c9 100644 --- a/src/mvnorm.cpp +++ b/src/mvnorm.cpp @@ -9,7 +9,7 @@ static double const log2pi = std::log(2.0 * M_PI); void inplace_tri_mat_mult(arma::rowvec &x, arma::mat const &trimat){ arma::uword const n = trimat.n_cols; - + for(unsigned j = n; j-- > 0;){ double tmp(0.); for(unsigned i = 0; i <= j; ++i) @@ -75,6 +75,7 @@ arma::vec rep_dmvnorm(const arma::mat &x, #pragma omp parallel for if(ncores>1) schedule(static) default(none) \ shared(out, x, expected, sigma, t, p) #endif + for (int i = 0; i < t; ++i) { int r0 = i * p, r1 = (i + 1) * p - 1; arma::mat sigma_i = sigma.submat(r0, 0, r1, p - 1); @@ -82,6 +83,7 @@ arma::vec rep_dmvnorm(const arma::mat &x, // inner call runs single‑threaded to avoid nested OpenMP regions out(i) = dmvnrm_arma_mc(x.row(i), expected.row(i), sigma_i, true, 1)(0); } + return out; } @@ -122,23 +124,23 @@ double totalDmvnWeightedCpp(const arma::vec& mu, // [[Rcpp::export]] -arma::vec dmvnfast(arma::mat X, - arma::vec mu, - arma::mat sigma, +arma::vec dmvnfast(arma::mat X, + arma::vec mu, + arma::mat sigma, const bool log, const int ncores, - const bool isChol) { + const bool isChol) { using namespace Rcpp; // Code is copied from mvnfast package // I want to call it directly from C++, not from R // Copyright (C) 2014 Matteo Fasiolo matteo.fasiolo@gmail.com - + try{ if(ncores == 0) stop("ncores has to be positive."); - if (X.n_cols != mu.n_elem) Rcpp::stop("X.n_cols != mu.n_elem"); - if (X.n_cols != sigma.n_cols) Rcpp::stop("X.n_cols != sigma.n_cols"); - if (sigma.n_rows != sigma.n_cols) Rcpp::stop("sigma.n_rows != sigma.n_cols"); - + if (X.n_cols != mu.n_elem) Rcpp::stop("X.n_cols != mu.n_elem"); + if (X.n_cols != sigma.n_cols) Rcpp::stop("X.n_cols != sigma.n_cols"); + if (sigma.n_rows != sigma.n_cols) Rcpp::stop("sigma.n_rows != sigma.n_cols"); + // Here we set the number of OMP threads, but before we save the original // number of threads, so we can re-set before returning. int ncores_0; @@ -150,7 +152,7 @@ arma::vec dmvnfast(arma::mat X, } omp_set_num_threads(ncores); #endif - + // Calculate cholesky dec. unless sigma is alread a cholesky dec. arma::mat cholDec; if (!isChol) { @@ -161,16 +163,16 @@ arma::vec dmvnfast(arma::mat X, } } else cholDec = sigma; - + // Dropping the dimensionality of the output vector const arma::vec out = dmvnInt( X, mu, cholDec, log, ncores); - + #ifdef _OPENMP omp_set_num_threads(ncores_0); #endif - + return out; - + } catch( std::exception& __ex__){ forward_exception_to_r(__ex__); @@ -184,58 +186,58 @@ arma::vec dmvnfast(arma::mat X, arma::vec dmvnInt( arma::mat X, arma::vec mu, arma::mat cholDec, bool log, unsigned int ncores) { using namespace arma; - + unsigned int d = X.n_cols; - + vec out = mahaInt(X, mu, cholDec, ncores, true); - + out = - 0.5 * out - ( (d / 2.0) * std::log(2.0 * M_PI) + sum(arma::log(cholDec.diag())) ); - + if (!log) out = exp(out); - + return out; } -arma::vec mahaInt(arma::mat & X, - arma::vec & mu, +arma::vec mahaInt(arma::mat & X, + arma::vec & mu, arma::mat & sigma, const unsigned int ncores, const bool isChol = false) { using namespace arma; - - // Some sanity checks + + // Some sanity checks if(ncores == 0) Rcpp::stop("ncores has to be positive."); if(mu.n_elem != sigma.n_cols) Rcpp::stop("The mean vector has a different dimensions from the covariance matrix."); if(X.n_cols != sigma.n_cols) Rcpp::stop("The number of columns of X is different from the dimension of the covariance matrix."); - + // Calculate transposed cholesky dec. unless sigma is alread a cholesky dec. mat cholDec; if (!isChol) { cholDec = trimatl(chol(sigma).t()); } else { - cholDec = trimatl(sigma.t()); + cholDec = trimatl(sigma.t()); if(any(cholDec.diag() <= 0.0)) Rcpp::stop("The supplied cholesky decomposition has values <= 0.0 on the main diagonal."); } - + vec D = cholDec.diag(); - + vec out(X.n_rows); - + #ifdef _OPENMP - #pragma omp parallel num_threads(ncores) if(ncores > 1) + #pragma omp parallel num_threads(ncores) if(ncores > 1) { #endif - + // Declaring some private variables uint32_t d = X.n_cols; uint32_t n = X.n_rows; - - vec tmp(d); - + + vec tmp(d); + double acc; - uint32_t icol, irow, ii; - + uint32_t icol, irow, ii; + // For each of the "n" random vectors, forwardsolve the corresponding linear system. // Forwardsolve because I'm using the lower triangle Cholesky. #ifdef _OPENMP @@ -243,22 +245,22 @@ arma::vec mahaInt(arma::mat & X, #endif for(icol = 0; icol < n; icol++) { - + for(irow = 0; irow < d; irow++) { acc = 0.0; - + for(ii = 0; ii < irow; ii++) acc += tmp.at(ii) * cholDec.at(irow, ii); - + tmp.at(irow) = ( X.at(icol, irow) - mu.at(irow) - acc ) / D.at(irow); } - - out.at(icol) = sum(square(tmp)); + + out.at(icol) = sum(square(tmp)); } - + #ifdef _OPENMP } #endif - + return out; } From 6c23c6d5cdd3cde86d7c6d7d1e4d39b1ed763c7b Mon Sep 17 00:00:00 2001 From: kss Date: Mon, 4 Aug 2025 16:45:56 +0200 Subject: [PATCH 19/51] Print absolute differences per eval in QML --- R/equations_qml.R | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/R/equations_qml.R b/R/equations_qml.R index 042a348f..0d0425d6 100644 --- a/R/equations_qml.R +++ b/R/equations_qml.R @@ -16,7 +16,7 @@ incrementIterations <- function(logLik) { clearConsoleLine() # clear before printing printf("\rEval=%d LogLik=%.2f \u0394LL=%.2g rel\u0394LL=%.2g", - eval, logLik, deltaLL, relDeltaLL) + eval, logLik, abs(deltaLL), abs(relDeltaLL)) OptimizerInfoQML$eval <- eval OptimizerInfoQML$logLiks <- logLiks From 0573404b5beae4f1f9c651d59ac637a51aafcf7a Mon Sep 17 00:00:00 2001 From: kss2k Date: Thu, 7 Aug 2025 12:45:57 +0200 Subject: [PATCH 20/51] Don't overwrite `parameter_estimates()` in `/R/modsem_stan.R` --- NAMESPACE | 9 +++++---- R/modsem_stan.R | 2 +- man/parameter_estimates.Rd | 18 +++++++++--------- 3 files changed, 15 insertions(+), 14 deletions(-) diff --git a/NAMESPACE b/NAMESPACE index 264a1819..e598e48b 100644 --- a/NAMESPACE +++ b/NAMESPACE @@ -53,6 +53,11 @@ S3method(modsem_predict,modsem_pi) S3method(nobs,modsem_da) S3method(nobs,modsem_mplus) S3method(nobs,modsem_pi) +S3method(parameter_estimates,lavaan) +S3method(parameter_estimates,modsem_da) +S3method(parameter_estimates,modsem_mplus) +S3method(parameter_estimates,modsem_pi) +S3method(parameter_estimates,modsem_stan) S3method(print,ModsemMatrix) S3method(print,ModsemParTable) S3method(print,ModsemSymmetricMatrix) @@ -109,10 +114,6 @@ export(modsem_stan) export(modsem_vcov) export(modsemify) export(parameter_estimates) -export(parameter_estimates.lavaan) -export(parameter_estimates.modsem_da) -export(parameter_estimates.modsem_mplus) -export(parameter_estimates.modsem_pi) export(plot_interaction) export(plot_jn) export(plot_surface) diff --git a/R/modsem_stan.R b/R/modsem_stan.R index 21a73496..6e8cbf69 100644 --- a/R/modsem_stan.R +++ b/R/modsem_stan.R @@ -128,7 +128,7 @@ print.modsem_stan <- function(x, ...) { #' @export -parameter_estimates <- function(object, ...) { +parameter_estimates.modsem_stan <- function(object, ...) { object$parTable } diff --git a/man/parameter_estimates.Rd b/man/parameter_estimates.Rd index 09c4bfba..dc400196 100644 --- a/man/parameter_estimates.Rd +++ b/man/parameter_estimates.Rd @@ -11,13 +11,13 @@ \usage{ parameter_estimates(object, ...) -parameter_estimates.lavaan(object, colon.pi = TRUE, ...) +\method{parameter_estimates}{lavaan}(object, colon.pi = TRUE, ...) -parameter_estimates.modsem_da(object, ...) +\method{parameter_estimates}{modsem_da}(object, ...) -parameter_estimates.modsem_mplus(object, ...) +\method{parameter_estimates}{modsem_mplus}(object, ...) -parameter_estimates.modsem_pi(object, colon.pi = FALSE, ...) +\method{parameter_estimates}{modsem_pi}(object, colon.pi = FALSE, ...) } \arguments{ \item{object}{An object of class \code{\link{modsem_pi}}, \code{\link{modsem_da}}, or \code{\link{modsem_mplus}}} @@ -29,15 +29,15 @@ parameter_estimates.modsem_pi(object, colon.pi = FALSE, ...) \description{ Extract parameterEstimates from an estimated model } -\section{Functions}{ +\section{Methods (by class)}{ \itemize{ -\item \code{parameter_estimates.lavaan()}: Get parameter estimates of a \code{lavaan} object +\item \code{parameter_estimates(lavaan)}: Get parameter estimates of a \code{lavaan} object -\item \code{parameter_estimates.modsem_da()}: Get parameter estimates of a \code{\link{modsem_da}} object +\item \code{parameter_estimates(modsem_da)}: Get parameter estimates of a \code{\link{modsem_da}} object -\item \code{parameter_estimates.modsem_mplus()}: Get parameter estimates of a \code{\link{modsem_mplus}} object +\item \code{parameter_estimates(modsem_mplus)}: Get parameter estimates of a \code{\link{modsem_mplus}} object -\item \code{parameter_estimates.modsem_pi()}: Get parameter estimates of a \code{\link{modsem_pi}} object +\item \code{parameter_estimates(modsem_pi)}: Get parameter estimates of a \code{\link{modsem_pi}} object }} \examples{ From b34acfad1a3e0199cdf3674b1f61ea3d4428c11e Mon Sep 17 00:00:00 2001 From: kss2k Date: Fri, 8 Aug 2025 10:58:20 +0200 Subject: [PATCH 21/51] Don't implicitly assume residual covariance structure of single-inds QML --- R/construct_matrices_da.R | 37 ++++++++++++++++++++++++++++++++++--- R/equations_qml.R | 21 ++++++++++++++++----- R/model_da.R | 24 ++++++++++++++++-------- 3 files changed, 66 insertions(+), 16 deletions(-) diff --git a/R/construct_matrices_da.R b/R/construct_matrices_da.R index 9f3d5aaa..8eb5d634 100644 --- a/R/construct_matrices_da.R +++ b/R/construct_matrices_da.R @@ -441,7 +441,7 @@ getScalingInds <- function(indsEtas, R, latentEtas, method = "qml") { } -selectThetaEpsilon <- function(indsEtas, thetaEpsilon, scalingInds, +selectThetaEpsilon1 <- function(indsEtas, thetaEpsilon, scalingInds, method = "qml") { if (method != "qml") return(NULL) selectThetaEpsilon <- as.logical.matrix(thetaEpsilon) @@ -451,8 +451,22 @@ selectThetaEpsilon <- function(indsEtas, thetaEpsilon, scalingInds, } -constructSubThetaEpsilon <- function(indsEtas, thetaEpsilon, scalingInds, - method = "qml") { +selectThetaEpsilon2 <- function(indsEtas, thetaEpsilon, scalingInds, + method = "qml") { + if (method != "qml") return(NULL) + selectThetaEpsilon <- as.logical.matrix(thetaEpsilon) + selectThetaEpsilon[TRUE] <- FALSE + + allScalingInds <- vapply(indsEtas, FUN.VALUE = character(1L), FUN = \(x) x[1L]) + nonLatentScalingInds <- allScalingInds[!allScalingInds %in% scalingInds] + + diag(selectThetaEpsilon)[nonLatentScalingInds] <- TRUE + selectThetaEpsilon +} + + +constructSubThetaEpsilon1 <- function(indsEtas, thetaEpsilon, scalingInds, + method = "qml") { if (method != "qml") return(NULL) subThetaEpsilon <- matrix(0, nrow = length(scalingInds), ncol = length(scalingInds), @@ -462,6 +476,23 @@ constructSubThetaEpsilon <- function(indsEtas, thetaEpsilon, scalingInds, } +constructSubThetaEpsilon2 <- function(indsEtas, thetaEpsilon, scalingInds, + method = "qml") { + if (method != "qml") return(NULL) + + allScalingInds <- vapply(indsEtas, FUN.VALUE = character(1L), FUN = \(x) x[1L]) + nonLatentScalingInds <- allScalingInds[!allScalingInds %in% scalingInds] + + subThetaEpsilon <- matrix(0, nrow = length(nonLatentScalingInds), + ncol = length(nonLatentScalingInds), + dimnames = list(nonLatentScalingInds, + nonLatentScalingInds)) + + diag(subThetaEpsilon) <- NA + subThetaEpsilon +} + + getScalingLambdaY <- function(lambdaY, indsEtas, etas, method = "qml") { if (method != "qml") return(NULL) hasMultipleInds <- vapply(indsEtas, FUN = function(x) length(x) > 1, diff --git a/R/equations_qml.R b/R/equations_qml.R index 0d0425d6..3d8e1e8e 100644 --- a/R/equations_qml.R +++ b/R/equations_qml.R @@ -41,6 +41,17 @@ logLikQml <- function(theta, model, sum = TRUE, sign = -1, verbose = FALSE) { m$x <- centerIndicators(m$x, tau = m$tauX) m$y <- centerIndicators(m$y, tau = m$tauY) + # Fill in residual variances for latent etas with only a single indicator + # only needed if the resiudal variances are non-zero + if (any(m$selectThetaEpsilon2)) { + m$subThetaEpsilon2[is.na(m$subThetaEpsilon2)] <- + m$thetaEpsilon[m$selectThetaEpsilon2] + + selectRows <- apply(m$selectSubSigma2ThetaEpsilon, MARGIN = 1, FUN = \(x) all(!x)) + selectCols <- apply(m$selectSubSigma2ThetaEpsilon, MARGIN = 2, FUN = \(x) all(!x)) + m$fullSigma2ThetaEpsilon[selectRows, selectCols] <- m$subThetaEpsilon2 + } + t <- NROW(m$x) if (!is.null(m$emptyR)) { m$R <- m$emptyR @@ -49,16 +60,16 @@ logLikQml <- function(theta, model, sum = TRUE, sign = -1, verbose = FALSE) { m$u <- m$y %*% t(m$fullR) m$fullU[, m$colsU] <- m$u m$Beta <- m$lambdaY[m$selectBetaRows, latentEtas] - m$subThetaEpsilon <- m$subThetaEpsilon - m$subThetaEpsilon[is.na(m$subThetaEpsilon)] <- - m$thetaEpsilon[m$selectThetaEpsilon] + + m$subThetaEpsilon1[is.na(m$subThetaEpsilon1)] <- + m$thetaEpsilon[m$selectThetaEpsilon1] m$RER <- m$R %*% m$thetaEpsilon[m$colsR, m$colsR] %*% t(m$R) invRER <- solve(m$RER) - m$L2 <- -m$subThetaEpsilon %*% t(m$Beta) %*% invRER + m$L2 <- -m$subThetaEpsilon1 %*% t(m$Beta) %*% invRER m$fullL2[m$selectSubL2] <- m$L2 - m$Sigma2ThetaEpsilon <- m$subThetaEpsilon - m$subThetaEpsilon ^ 2 %*% + m$Sigma2ThetaEpsilon <- m$subThetaEpsilon1 - m$subThetaEpsilon1 ^ 2 %*% t(m$Beta) %*% invRER %*% m$Beta m$fullSigma2ThetaEpsilon[m$selectSubSigma2ThetaEpsilon] <- diff --git a/R/model_da.R b/R/model_da.R index d3018725..6fcf40c2 100644 --- a/R/model_da.R +++ b/R/model_da.R @@ -171,10 +171,16 @@ specifyModelDA <- function(syntax = NULL, scalingInds <- getScalingInds(indsEtas, R = emptyR, latentEtas = latentEtas, method = method) - selectThetaEpsilon <- selectThetaEpsilon(lambdaY, thetaEpsilon, - scalingInds, method = method) - subThetaEpsilon <- constructSubThetaEpsilon(indsEtas, thetaEpsilon, - scalingInds, method = method) + + # 1 = truly latent variables, 2 = latent variables with single indicators + selectThetaEpsilon1 <- selectThetaEpsilon1(indsEtas, thetaEpsilon, + scalingInds, method = method) + selectThetaEpsilon2 <- selectThetaEpsilon2(indsEtas, thetaEpsilon, + scalingInds, method = method) + subThetaEpsilon1 <- constructSubThetaEpsilon1(indsEtas, thetaEpsilon, + scalingInds, method = method) + subThetaEpsilon2 <- constructSubThetaEpsilon2(indsEtas, thetaEpsilon, + scalingInds, method = method) covModel <- covModel(cov.syntax, method = method, parTable = parTableCovModel, xis.main = xis, parTable.main = parTable) @@ -198,9 +204,10 @@ specifyModelDA <- function(syntax = NULL, omegaEtaXi = omegaEtaXi, omegaXiXi = omegaXiXi, - selectScalingY = selectScalingY, - selectThetaEpsilon = selectThetaEpsilon, - selectBetaRows = selectBetaRows, + selectScalingY = selectScalingY, + selectThetaEpsilon1 = selectThetaEpsilon1, + selectThetaEpsilon2 = selectThetaEpsilon2, + selectBetaRows = selectBetaRows, emptyR = emptyR, fullR = fullR, @@ -216,7 +223,8 @@ specifyModelDA <- function(syntax = NULL, colsR = colnames(emptyR), rowsR = rownames(emptyR), - subThetaEpsilon = subThetaEpsilon) + subThetaEpsilon1 = subThetaEpsilon1, + subThetaEpsilon2 = subThetaEpsilon2) labelMatrices <- list( lambdaX = labelLambdaX, From f308e25f8bcd50a90932534c3f52c9ef04b67062 Mon Sep 17 00:00:00 2001 From: kss Date: Sun, 17 Aug 2025 11:26:03 +0200 Subject: [PATCH 22/51] Fix bug from merge --- R/create_stan_model.R | 5 +++-- tests/testthat/test_modsem_stan.R | 3 +-- 2 files changed, 4 insertions(+), 4 deletions(-) diff --git a/R/create_stan_model.R b/R/create_stan_model.R index 58482181..7185b964 100644 --- a/R/create_stan_model.R +++ b/R/create_stan_model.R @@ -351,14 +351,15 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { } -getStanData <- function(compiled_model, data, impute.na = FALSE) { +getStanData <- function(compiled_model, data, missing = "listwise") { lVs <- compiled_model$info$lVs indsLVs <- compiled_model$info$indsLVs allIndsXis <- compiled_model$info$allIndsXis allIndsEtas <- compiled_model$info$allIndsEtas # clean data - INDICATORS <- cleanAndSortData(data, allIndsXis, allIndsEtas, impute.na = impute.na) + INDICATORS <- prepDataModsemDA(data, allIndsXis, allIndsEtas, + missing = missing)$data.full stan_data <- list(N = nrow(data)) diff --git a/tests/testthat/test_modsem_stan.R b/tests/testthat/test_modsem_stan.R index 55dc5406..21a93f50 100644 --- a/tests/testthat/test_modsem_stan.R +++ b/tests/testthat/test_modsem_stan.R @@ -1,5 +1,4 @@ -# devtools::load_all() -library(modsem) +devtools::load_all() library(mvtnorm) library(rstan) From 7534e7da55bc8c513454cb1a21dc24fe366a655d Mon Sep 17 00:00:00 2001 From: kss2k Date: Wed, 20 Aug 2025 09:48:07 +0200 Subject: [PATCH 23/51] Add handling of ordered variables in `modsem_stan()` --- R/create_stan_model.R | 208 ++++++++++++++----- R/modsem_stan.R | 122 +++++++---- tests/testthat/test_modsem_stan.R | 332 +++++++++++++++++++----------- 3 files changed, 444 insertions(+), 218 deletions(-) diff --git a/R/create_stan_model.R b/R/create_stan_model.R index 7185b964..9ddc2984 100644 --- a/R/create_stan_model.R +++ b/R/create_stan_model.R @@ -11,7 +11,7 @@ STAN_OPERATOR_LABELS <- c( "__MEASUREMENT__" = "=~", "__XWITH__" = ":" ) - + STAN_SYNTAX_BLOCKS <- " functions { @@ -53,7 +53,19 @@ generated quantities { #' is generated, and not compiled. #' @param force Should compilation of previously compiled models be forced? #' @export -compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { +compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, + ordered = NULL) { + if (is.null(ordered)) + ordered <- character(0) + + if (length(ordered)) { + model.syntax <- paste( + model.syntax, + sprintf("#ORDERED %s", paste0(ordered, collapse = " ")), + sep = "\n" + ) + } + parTable <- modsemify(model.syntax) # endogenous variables (etas)model @@ -124,28 +136,80 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { inds <- indsLVs[[lV]] k <- length(inds) - # data {} + # --- data {}: keep the matrix for legacy pipelines (cols unused if ordinal) dataInds <- sprintf("matrix[N, %d] INDICATORS_%s;", k, lV) - # parameters {} - labTau <- sprintf("%s__INTERCEPT", inds) - labResSD <- sprintf("%s__COVARIANCE__%s", inds, inds) - labLambda <- sprintf("%s__MEASUREMENT__%s", lV, inds[-1]) # first loading is constrained + # We will accumulate code per-indicator to allow mixing ordinal/continuous. + par_lines <- character() + model_lines <- character() + data_lines <- dataInds - parTau <- sprintf("real %s;", labTau) - parResSD <- sprintf("real %s;", labResSD) - parLambda <- sprintf("real %s;", labLambda) - - # model {} - idx <- seq_along(inds) - modInd <- sprintf("INDICATORS_%s[,%d] ~ normal(%s + %s * %s, %s);", - lV, idx, labTau, c("1", labLambda), lV, labResSD) + # Names for parameters that exist irrespective of ordinal/continuous + # Intercepts: + labTau <- sprintf("%s__INTERCEPT", inds) + par_lines <- c(par_lines, sprintf("real %s;", labTau)) + + # Loadings: first is fixed to 1 by construction; free for the rest + # (we keep your original labels X__MEASUREMENT__x2 etc.) + free_inds <- inds[-1] + labLambda <- if (length(free_inds)) sprintf("%s__MEASUREMENT__%s", lV, free_inds) else character(0) + if (length(labLambda)) { + par_lines <- c(par_lines, sprintf("real %s;", labLambda)) + } - parameters <- collapse(parTau, parResSD, parLambda) - model <- collapse(modInd) - data <- collapse(dataInds) + # Residual SDs (continuous-only) and ordinal cutpoints (ordinal-only) will be added in the loop + + for (j in seq_along(inds)) { + ind <- inds[j] + # loading term: first indicator fixed to 1, others use their free parameter + loading_term <- if (j == 1L) "1" else sprintf("%s__MEASUREMENT__%s", lV, ind) + + if (ind %in% ordered) { + # ---- ORDINAL INDICATOR ---- + # data: category count + integer responses + data_lines <- paste0( + data_lines, "\n", + sprintf("int K_%s;", ind), "\n", + sprintf("int INDICATORS_%s[N];", ind, ind) + ) + + # parameters: NO residual SD; add cutpoints + par_lines <- c( + par_lines, + sprintf("ordered[K_%s - 1] %s__CUTPOINTS;", ind, ind) + ) + + # model: cumulative logit with linear predictor + model_lines <- c( + model_lines, + sprintf("{"), + sprintf(" vector[N] eta_%s = %s__INTERCEPT + %s * %s;", ind, ind, loading_term, lV), + sprintf(" INDICATORS_%s ~ ordered_logistic(eta_%s, %s__CUTPOINTS);", ind, ind, ind), + sprintf("}") + ) + + } else { + # ---- CONTINUOUS INDICATOR ---- + # parameters: residual SD present + par_lines <- c( + par_lines, + sprintf("real %s__COVARIANCE__%s;", ind, ind) + ) + + # model: Gaussian measurement eq. + model_lines <- c( + model_lines, + sprintf("INDICATORS_%s[,%d] ~ normal(%s__INTERCEPT + %s * %s, %s__COVARIANCE__%s);", + lV, j, ind, loading_term, lV, ind, ind) + ) + } + } - list(parameters = parameters, model = model, data = data) + list( + parameters = collapse(par_lines), + model = collapse(model_lines), + data = collapse(data_lines) + ) } STAN_PAR_XIS <- function(xis) { @@ -189,14 +253,14 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { model = model) } - + STAN_PAR_ETA <- function(eta) { indeps <- unique(parTable[parTable$lhs == eta & parTable$op == "~", "rhs"]) - indeps <- stringr::str_replace_all(indeps, pattern = ":", + indeps <- stringr::str_replace_all(indeps, pattern = ":", replacement = "__XWITH__") # parameters {} - labBeta <- sprintf("%s__REGRESSION__%s", eta, indeps) + labBeta <- sprintf("%s__REGRESSION__%s", eta, indeps) labSD <- sprintf("%s__COVARIANCE__%s", eta, eta) parBeta <- sprintf("real %s;", labBeta) @@ -253,7 +317,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { list(generated_quantities = collapse(generated_quantities)) } - + STAN_COMPUTED_VARIANCES <- function(vars) { vars <- stringr::str_replace_all(vars, pattern = ":", replacement = "__XWITH__") @@ -288,7 +352,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { parameters = { PARAMETERS <<- collapse(PARAMETERS, block) }, - + transformed_parameters = { TRANSFORMED_PARAMETERS <<- collapse(TRANSFORMED_PARAMETERS, block) }, @@ -311,10 +375,10 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { add2block(STAN_COMPUTED_PRODUCTS, intTerms = intTerms) add2block(STAN_COMPUTED_COVARIANCES, vars = c(xis, intTerms)) add2block(STAN_COMPUTED_VARIANCES, vars = c(xis, intTerms)) - + stanModelSyntax <- sprintf(STAN_SYNTAX_BLOCKS, - FUNCTIONS, DATA, PARAMETERS, - TRANSFORMED_PARAMETERS, + FUNCTIONS, DATA, PARAMETERS, + TRANSFORMED_PARAMETERS, MODEL, GENERATED_QUANTITIES) SYNTAXES <- STAN_LAVAAN_MODELS$syntaxes @@ -324,7 +388,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { if (compile && any(match) && !force) { message("Reusing compiled Stan model...") stanModel <- last(COMPILED[match]) # if a duplicate somehow appears, pick last/newest match - + } else if (compile) { message("Compiling Stan model...") @@ -334,7 +398,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { COMPILED <- c(COMPILED, stanModel) STAN_LAVAAN_MODELS$syntaxes <- SYNTAXES - STAN_LAVAAN_MODELS$compiled <- COMPILED + STAN_LAVAAN_MODELS$compiled <- COMPILED } else stanModel <- NULL @@ -351,22 +415,60 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { } -getStanData <- function(compiled_model, data, missing = "listwise") { +getStanData <- function(compiled_model, data, missing = "listwise", ordered = NULL) { + if (is.null(ordered)) ordered <- character(0) + lVs <- compiled_model$info$lVs indsLVs <- compiled_model$info$indsLVs allIndsXis <- compiled_model$info$allIndsXis allIndsEtas <- compiled_model$info$allIndsEtas - # clean data + # 1) Pre-coerce requested ordinal columns in the raw data + # (safe even if columns are already numeric; ensures stable ordering) + for (col in ordered) { + if (!col %in% names(data)) { + stop("`ordered` indicator '", col, "' not found in data.") + } + data[[col]] <- as.integer(as.ordered(data[[col]])) + } + + # 2) Run your existing missing-data preparation (listwise or otherwise) INDICATORS <- prepDataModsemDA(data, allIndsXis, allIndsEtas, missing = missing)$data.full - stan_data <- list(N = nrow(data)) + stan_data <- list(N = nrow(INDICATORS)) + # 3) Emit the latent-specific indicator matrices (unchanged) for (lV in lVs) { name <- sprintf("INDICATORS_%s", lV) inds <- indsLVs[[lV]] - stan_data[[name]] = INDICATORS[, inds, drop = FALSE] + if (!all(inds %in% colnames(INDICATORS))) { + missing_cols <- paste(setdiff(inds, colnames(INDICATORS)), collapse = ", ") + stop("Indicators missing from prepared data for latent '", lV, "': ", missing_cols) + } + stan_data[[name]] <- as.matrix(INDICATORS[, inds, drop = FALSE]) + } + + # 4) For each ordered indicator, add integer vector 1..K and K + remap_to_consecutive <- function(x) { + # x should be atomic, no NAs expected after listwise handling + u <- sort(unique(x)) + # Create a 1..K mapping even if labels were not consecutive (e.g., 0/2/5) + map <- setNames(seq_along(u), as.character(u)) + as.integer(unname(map[as.character(x)])) + } + + for (ind in ordered) { + if (!ind %in% colnames(INDICATORS)) { + stop("`ordered` indicator '", ind, "' not found after preprocessing.") + } + x_raw <- INDICATORS[, ind] + # Ensure integer 1..K coding regardless of original labels + x_int <- remap_to_consecutive(x_raw) + K <- as.integer(max(x_int)) + + stan_data[[sprintf("INDICATORS_%s", ind)]] <- x_int + stan_data[[sprintf("K_%s", ind)]] <- K } stan_data @@ -400,7 +502,7 @@ functions { } } - return product; + return product; } } @@ -425,7 +527,7 @@ data { int N_FREE_LAMBDA; // sum(abs(LAMBDA)) int N_FREE_GAMMA; // sum(abs(GAMMA)) - int N_FREE_OMEGA; + int N_FREE_OMEGA; int N_FREE_DIAG_THETA; // sum(abs(diag(THETA))) int N_FREE_LOWER_THETA; // sum(abs(THETA[is.lower(THETA)])) @@ -447,7 +549,7 @@ parameters { vector[N_FREE_TAU] tau; vector[N_FREE_DIAG_THETA] theta_d; vector[N_FREE_LOWER_THETA] theta_l; - + // Structural model vector[N_FREE_GAMMA] gamma; vector[N_FREE_ALPHA] alpha; @@ -473,7 +575,7 @@ transformed parameters { matrix[K, K] Theta; // Structure of indicator covariances vector[K] Tau; // Structure of indicator intercepts vector[N_LVS] Alpha; // Structure of LV intercepts - + // Fill Matrices Lambda = rep_matrix(0, K, N_LVS); Gamma = rep_matrix(0, N_ETAS, N_LVS); @@ -514,7 +616,7 @@ transformed parameters { } } } - + // Fill OMEGA k = 1; for (i in 1:N_ETAS) { @@ -538,14 +640,14 @@ transformed parameters { k = k + 1; } } - + // Fill Off-Diagonal Theta k = 1; for (i in 1:K) { for (j in 1:(i-1)) { real fill = THETA[i, j]; - + if (fill) { Theta[i, j] = theta_l[k]; Theta[j, i] = theta_l[k]; @@ -564,14 +666,14 @@ transformed parameters { k = k + 1; } } - + // Fill Off-Diagonal Psi k = 1; for (i in 1:N_LVS) { for (j in 1:(i-1)) { real fill = PSI[i, j]; - + if (fill) { Psi[i, j] = psi_l[k]; Psi[j, i] = psi_l[k]; @@ -589,7 +691,7 @@ transformed parameters { k = k + 1; } } - + // Fill Tau k = 1; for (i in 1:K) { @@ -618,10 +720,10 @@ transformed parameters { ETA[, idx] = ETA[, idx] + Gamma[i, j] * ETA[, j]; } } - + for (j in 1:N_INT) { if (OMEGA[i, j]) { - ETA[, idx] = + ETA[, idx] = ETA[, idx] + Omega[i, j] * getIthProduct(j, N_LVS, N, PRODUCTS, ETA); } } @@ -649,10 +751,10 @@ transformed parameters { // print(\"head(ETA)\"); // print(ETA[1:5, ]); - // + // // print(\"head(XI)\"); // print(XI[1:5, ]); - // + // // print(\"head(X)\"); // print(X[1:5, ]); @@ -679,7 +781,7 @@ model { // No priors (yet) marginalXI ~ multi_normal(marginalMeanXI, Psi); - marginalY ~ multi_normal(marginalMeanY, Theta); + marginalY ~ multi_normal(marginalMeanY, Theta); } " @@ -760,7 +862,7 @@ specifyModelSTAN <- function(syntax = NULL, listOmega <- constructGamma(etas, intTerms, parTable = parTable) OMEGA <- listOmega$numeric OMEGA[is.na(OMEGA)] <- 1 - + listPsi <- constructPsi(etas, parTable = parTable, orthogonal.y = orthogonal.y) psi <- listPsi$numeric @@ -786,7 +888,7 @@ specifyModelSTAN <- function(syntax = NULL, N_ETAS = numEtas, N_LVS = numLVs, N_INT = numInts, - + LAMBDA = LAMBDA, GAMMA = GAMMA, OMEGA = OMEGA, @@ -820,12 +922,12 @@ specifyModelSTAN <- function(syntax = NULL, # X =~ x1 + x2 + x3 # Z =~ z1 + z2 + z3 # Y =~ y1 + y2 + y3 -# +# # Y ~ X + Z + X:Z # ' # stan_data <- specifyModelSTAN(model.syntax, data = oneInt) # stan_model <- stan_model(model_code = STAN_MODEL_GENERAL) -# +# # fit <- sampling( # object = stan_model, # data = stan_data, @@ -833,7 +935,7 @@ specifyModelSTAN <- function(syntax = NULL, # iter = 2000, # warmup = 1000 # ) -# +# # summary(fit, c("gamma")) # summary(fit, c("omega")) # summary(fit, c("Psi")) diff --git a/R/modsem_stan.R b/R/modsem_stan.R index 6e8cbf69..123a16a2 100644 --- a/R/modsem_stan.R +++ b/R/modsem_stan.R @@ -4,15 +4,15 @@ #' #' @param data A dataframe with observed variables used in the model. #' -#' @param compiled_model Compiled model from \code{\link{compile_stan_model}}. Saves time if the +#' @param compiled_model Compiled model from \code{\link{compile_stan_model}}. Saves time if the #' same \code{model.syntax} has to be reused multiple times. #' #' @param chains A positive integer specifying the number of Markov chains. #' The default is 4. -#' +#' #' @param iter A positive integer specifying the number of iterations for #' each chain (including warmup). The default is 2000. -#' +#' #' @param warmup A positive integer specifying the number of warmup (aka #' burnin) iterations per chain. If step-size adaptation is on #' (which it is by default), this also controls the number of @@ -20,21 +20,25 @@ #' warmup samples should not be used for inference). The number #' of warmup iterations should be smaller than \code{iter} and the #' default is \code{iter/2}. -#' +#' #' @param ... Arguments passed to \code{stan::sampling}. #' @export modsem_stan <- function(model.syntax = NULL, data = NULL, compiled_model = NULL, - chains = 2, - iter = 2000, - warmup = iter / 2, + chains = 2, + iter = 2000, + warmup = iter / 2, + ordered = NULL, ...) { if (is.null(compiled_model)) { - stopif(is.null(model.syntax), - "One of `model.syntax` or `compiled_model` has to be provided!") - - compiled_model <- compile_stan_model(model.syntax) + stopif(is.null(model.syntax), + "One of `model.syntax` or `compiled_model` has to be provided!") + # pass ordered through so codegen knows which indicators are ordinal + compiled_model <- compile_stan_model(model.syntax, ordered = ordered) + } else { + # normalize ordered for downstream data prep even when compiled_model is provided + if (is.null(ordered)) ordered <- character(0) } lVs <- compiled_model$info$lVs @@ -43,7 +47,8 @@ modsem_stan <- function(model.syntax = NULL, etas <- compiled_model$info$etas deps <- c(inds, etas) - stan_data <- getStanData(compiled_model = compiled_model, data = data) + # IMPORTANT: pass ordered to the data builder so it supplies INDICATORS_ and K_ + stan_data <- getStanData(compiled_model = compiled_model, data = data, ordered = ordered) message("Sampling Stan model...") fit <- rstan::sampling(object = compiled_model$stan_model, @@ -54,61 +59,98 @@ modsem_stan <- function(model.syntax = NULL, pars = compiled_model$info$exclude.pars, include = FALSE, ...) + diagnostics <- rstan::summary(fit)$summary samples <- as.matrix(fit) - samples <- samples[, !grepl("\\[[0-9]+\\]", colnames(samples))] - diagnostics <- diagnostics[colnames(samples), , drop = FALSE] + # DO NOT drop indexed params globally; we need cutpoints like x2__CUTPOINTS[1]. + # Vectors of length N (e.g., latent time-series) are already excluded via `exclude.pars`. + # Map Stan parameter labels -> lavaan-like labels cleanPars <- \(pars) stringr::str_replace_all(pars, STAN_OPERATOR_LABELS) - pars <- cleanPars(colnames(samples)) - colnames(samples) <- pars - OP <- "~~|=~|~1|~" - op <- stringr::str_extract(pars, pattern = OP) - op[is.na(op)] <- ":=" - lr <- stringr::str_split_fixed(pars, pattern = OP, n = 2) + # We will build lhs/op/rhs in two passes: + # (A) cutpoints: __CUTPOINTS[i] -> lhs=, op="|", rhs=paste0("t", i) + # (B) everything else: use existing operator mapping + + par_names_raw <- colnames(samples) + + is_cut <- grepl("__CUTPOINTS\\[[0-9]+\\]$", par_names_raw) + cut_raw <- par_names_raw[is_cut] + + # Extract lhs (indicator) and threshold index + cut_lhs <- sub("__CUTPOINTS\\[[0-9]+\\]$", "", cut_raw) + cut_k <- as.integer(sub("^.*__CUTPOINTS\\[([0-9]+)\\]$", "\\1", cut_raw)) + cut_rhs <- paste0("t", cut_k) + cut_op <- rep("|", length(cut_raw)) - lhs <- lr[, 1] - rhs <- lr[, 2] + # Non-cutpoint parameters + noncut_raw <- par_names_raw[!is_cut] + noncut_clean <- cleanPars(noncut_raw) - isSD <- lhs == rhs & op == "~~" & (lhs %in% deps | rhs %in% deps) - samples[, isSD] <- samples[, isSD]^2 + OP <- "~~|=~|~1|~" # lavaan operators we already produce + noncut_op <- stringr::str_extract(noncut_clean, pattern = OP) + noncut_op[is.na(noncut_op)] <- ":=" # fall-back for any derived labels + lr <- stringr::str_split_fixed(noncut_clean, pattern = OP, n = 2) + noncut_lhs <- lr[, 1] + noncut_rhs <- lr[, 2] + + # Square residual SDs (variances) for deps (as before) + isSD <- noncut_lhs == noncut_rhs & noncut_op == "~~" & (noncut_lhs %in% deps | noncut_rhs %in% deps) + if (any(isSD)) samples[, match(noncut_raw[isSD], par_names_raw)] <- samples[, match(noncut_raw[isSD], par_names_raw)]^2 + + # Combine back the label pieces for all params (cutpoints first or interleaved – order does not matter) + all_lhs <- c(cut_lhs, noncut_lhs) + all_op <- c(cut_op, noncut_op) + all_rhs <- c(cut_rhs, noncut_rhs) + + # Reorder samples consistently with the combined vectors + samples <- samples[, c(cut_raw, noncut_raw), drop = FALSE] + + # Summaries coefs <- apply(samples, MARGIN = 2, FUN = mean) vcov <- cov(samples) + diagnostics <- diagnostics[colnames(samples), , drop = FALSE] rhat <- diagnostics[, "Rhat"] neff <- diagnostics[, "n_eff"] + # Build parTable (lavaan-like), including thresholds + pars_clean_for_table <- cleanPars(colnames(samples)) # human-friendly labels where relevant + se <- sqrt(diag(vcov)) parTable <- data.frame( - lhs = lhs, op = op, rhs = rhs, est = coefs, std.error = se, + lhs = all_lhs, op = all_op, rhs = all_rhs, + est = coefs, std.error = se, z.value = coefs / se, p.value = 2 * stats::pnorm(-abs(coefs / se)), - ci.lower = coefs - CI_WIDTH * se, # We could replace these with the - ci.upper = coefs + CI_WIDTH * se, # observed 5% and 95% quantiles - R.hat = rhat, n.eff = neff + ci.lower = coefs - CI_WIDTH * se, + ci.upper = coefs + CI_WIDTH * se, + R.hat = rhat, n.eff = neff, + row.names = NULL ) + # Add fixed first-loading rows (as before) parTable <- rbind( - data.frame(lhs = lVs, op = "=~", - rhs = sapply(lVs, FUN = \(lV) indsLVs[[lV]][[1L]]), - est = 1, std.error = NA, z.value = NA, p.value = NA, - ci.lower = NA, ci.upper = NA, R.hat = NA, n.eff = NA), - parTable + data.frame(lhs = lVs, op = "=~", + rhs = vapply(lVs, FUN = \(lV) indsLVs[[lV]][[1L]], FUN.VALUE = character(1)), + est = 1, std.error = NA, z.value = NA, p.value = NA, + ci.lower = NA, ci.upper = NA, R.hat = NA, n.eff = NA), + parTable ) + # Nice ordering: put thresholds with other measurement items if you like; otherwise keep default parTable <- parTable[order(parTable$op), ] rownames(parTable) <- NULL parTable <- modsemParTable(parTable[parTable$op != ":=", , drop = FALSE]) - out <- list(fit = fit, - parTable = parTable, - coefs = coefs, - vcov = vcov, - samples = samples) - + out <- list( + fit = fit, + parTable = parTable, + coefs = coefs, + vcov = vcov, + samples = samples + ) class(out) <- "modsem_stan" - out } diff --git a/tests/testthat/test_modsem_stan.R b/tests/testthat/test_modsem_stan.R index 21a93f50..e7ac3ff2 100644 --- a/tests/testthat/test_modsem_stan.R +++ b/tests/testthat/test_modsem_stan.R @@ -1,136 +1,218 @@ devtools::load_all() -library(mvtnorm) -library(rstan) -rstan_options(auto_write = TRUE, threads_per_chain = 4) # cache compiled models -options(mc.cores = parallel::detectCores()) -# Here we estimate the models using STAN. -# We're essentially specifying the models as -# Bayesian models with flat priors for the model -# parameters, mimicking ML-estimation +TEST_STAN <- FALSE -# ------------------------------------------------------------------------------ -# Two-way Interaction -# ------------------------------------------------------------------------------ +if (TEST_STAN) { + library(mvtnorm) + library(rstan) -m1 <- ' + rstan_options(auto_write = TRUE, threads_per_chain = 4) # cache compiled models + options(mc.cores = parallel::detectCores()) + + # Here we estimate the models using STAN. + # We're essentially specifying the models as + # Bayesian models with flat priors for the model + # parameters, mimicking ML-estimation + + # ------------------------------------------------------------------------------ + # Two-way Interaction + # ------------------------------------------------------------------------------ + + m1 <- ' X =~ x1 + x2 + x3 Z =~ z1 + z2 + z3 Y =~ y1 + y2 + y3 Y ~ X + Z + X:Z -' - -# First we compile the STAN model, this can be slow -# and is therefore done once, such that the compiled -# STAN code can be reused for the same model syntax later -compiled_model.2way <- compile_stan_model(m1) -compiled_model.2way <- compile_stan_model(m1) -cat(compiled_model.2way$syntax) - -# Fit the model based on the compiled STAN code -fit.2way <- modsem_stan(compiled_model = compiled_model.2way, - data = oneInt, iter = 2000, chains = 2) -# We can get a summary -summary(fit.2way) - -# We can also get the standardized (and unstandardized) -# estimates -standardized_estimates(fit.2way) -parameter_estimates(fit.2way) - - -# ------------------------------------------------------------------------------ -# Three-way Interaction -# ------------------------------------------------------------------------------ - -# Simulate data - -set.seed(29723234) -n <- 1400 -Sigma <- matrix(c( - 1.2, 0.7, 0.8, - 0.7, 1.8, 0.6, - 0.8, 0.6, 1.4 -), nrow = 3) - -XI <- rmvnorm(n, sigma = Sigma) - -X <- XI[, 1] -Z <- XI[, 2] -W <- XI[, 3] - -Y <- 1.2 * X + 0.4 * Z + 0.7 * W + - 0.2 * W * Z + - 0.7 * W * X + - 1.2 * X * Z + - 2.2 * X * Z * W + rnorm(n, sd = sqrt(2)) - -createInd <- \(x, lambda, tau, epsilon = 0.2) { - tau + lambda * x + rnorm(n, sd = sqrt(epsilon)) -} + ' + + # First we compile the STAN model, this can be slow + # and is therefore done once, such that the compiled + # STAN code can be reused for the same model syntax later + compiled_model.2way <- compile_stan_model(m1) + compiled_model.2way <- compile_stan_model(m1) + cat(compiled_model.2way$syntax) + + # Fit the model based on the compiled STAN code + fit.2way <- modsem_stan(compiled_model = compiled_model.2way, + data = oneInt, iter = 2000, chains = 2) + # We can get a summary + summary(fit.2way) + + # We can also get the standardized (and unstandardized) + # estimates + standardized_estimates(fit.2way) + parameter_estimates(fit.2way) + + + # ------------------------------------------------------------------------------ + # Three-way Interaction + # ------------------------------------------------------------------------------ + + # Simulate data + + set.seed(29723234) + n <- 1400 + Sigma <- matrix(c( + 1.2, 0.7, 0.8, + 0.7, 1.8, 0.6, + 0.8, 0.6, 1.4 + ), nrow = 3) + + XI <- rmvnorm(n, sigma = Sigma) + + X <- XI[, 1] + Z <- XI[, 2] + W <- XI[, 3] + + Y <- 1.2 * X + 0.4 * Z + 0.7 * W + + 0.2 * W * Z + + 0.7 * W * X + + 1.2 * X * Z + + 2.2 * X * Z * W + rnorm(n, sd = sqrt(2)) + + createInd <- \(x, lambda, tau, epsilon = 0.2) { + tau + lambda * x + rnorm(n, sd = sqrt(epsilon)) + } + + x1 <- createInd(X, 1.0, 1.2) + x2 <- createInd(X, 0.8, 0.8) + x3 <- createInd(X, 0.9, 1.0) + + z1 <- createInd(Z, 1.0, 1.2) + z2 <- createInd(Z, 0.8, 0.8) + z3 <- createInd(Z, 0.9, 1.0) + + w1 <- createInd(W, 1.0, 1.2) + w2 <- createInd(W, 0.8, 0.8) + w3 <- createInd(W, 0.9, 1.0) + + y1 <- createInd(Y, 1.0, 1.2) + y2 <- createInd(Y, 0.8, 0.8) + y3 <- createInd(Y, 0.9, 1.0) + + data.3way <- data.frame(x1, x2, x3, + z1, z2, z3, + w1, w2, w3, + y1, y2, y3) + m.3way <- ' + X =~ x1 + x2 + x3 + Z =~ z1 + z2 + z3 + W =~ w1 + w2 + w3 + Y =~ y1 + y2 + y3 -x1 <- createInd(X, 1.0, 1.2) -x2 <- createInd(X, 0.8, 0.8) -x3 <- createInd(X, 0.9, 1.0) - -z1 <- createInd(Z, 1.0, 1.2) -z2 <- createInd(Z, 0.8, 0.8) -z3 <- createInd(Z, 0.9, 1.0) - -w1 <- createInd(W, 1.0, 1.2) -w2 <- createInd(W, 0.8, 0.8) -w3 <- createInd(W, 0.9, 1.0) - -y1 <- createInd(Y, 1.0, 1.2) -y2 <- createInd(Y, 0.8, 0.8) -y3 <- createInd(Y, 0.9, 1.0) - -data.3way <- data.frame(x1, x2, x3, - z1, z2, z3, - w1, w2, w3, - y1, y2, y3) -m.3way <- ' - X =~ x1 + x2 + x3 - Z =~ z1 + z2 + z3 - W =~ w1 + w2 + w3 - Y =~ y1 + y2 + y3 - - Y ~ X + Z + W + X:Z + X:W + Z:W + X:Z:W - # True values are - # Y ~ 1.2 * X + - # 0.4 * Z + - # 0.7 * W + - # 1.2 * X:Z + - # 0.7 * X:W + - # 0.2 * Z:W + - # 2.2 * X:Z:W + -' - -# First we compile the STAN model, this can be slow -# and is therefore done once, such that the compiled -# STAN code can be reused for the same model syntax later -compiled_model.3way <- compile_stan_model(m.3way) - -# Fit the model based on the compiled STAN code -fit.3way <- modsem_stan( - compiled_model = compiled_model.3way, - data = data.3way, - chains = 2, - iter = 10000 # More iterations should yield more stable estimates -) -#> Regressions: -#> Estimate Std.Error z.value P(>|z|) -#> Y ~ -#> X 1.040 0.159 6.535 0.000 -#> Z 0.423 0.128 3.296 0.001 -#> W 0.696 0.126 5.524 0.000 -#> X:Z 1.385 0.173 8.023 0.000 -#> X:W 0.733 0.175 4.193 0.000 -#> Z:W 0.190 0.178 1.070 0.284 -#> X:Z:W 2.227 0.107 20.731 0.000 - -summary(fit.3way) -standardized_estimates(fit.3way) -parameter_estimates(fit.3way) + Y ~ X + Z + W + X:Z + X:W + Z:W + X:Z:W + # True values are + # Y ~ 1.2 * X + + # 0.4 * Z + + # 0.7 * W + + # 1.2 * X:Z + + # 0.7 * X:W + + # 0.2 * Z:W + + # 2.2 * X:Z:W + + ' + + # First we compile the STAN model, this can be slow + # and is therefore done once, such that the compiled + # STAN code can be reused for the same model syntax later + compiled_model.3way <- compile_stan_model(m.3way) + + # Fit the model based on the compiled STAN code + fit.3way <- modsem_stan( + compiled_model = compiled_model.3way, + data = data.3way, + chains = 2, + iter = 10000 # More iterations should yield more stable estimates + ) + #> Regressions: + #> Estimate Std.Error z.value P(>|z|) + #> Y ~ + #> X 1.040 0.159 6.535 0.000 + #> Z 0.423 0.128 3.296 0.001 + #> W 0.696 0.126 5.524 0.000 + #> X:Z 1.385 0.173 8.023 0.000 + #> X:W 0.733 0.175 4.193 0.000 + #> Z:W 0.190 0.178 1.070 0.284 + #> X:Z:W 2.227 0.107 20.731 0.000 + + summary(fit.3way) + standardized_estimates(fit.3way) + parameter_estimates(fit.3way) + + + # ------------------------------------------------------------------------------ + # ORDERED INDICATORS + # ------------------------------------------------------------------------------ + + m1 <- ' + # Outer Model + X =~ x1 + x2 + x3 + Z =~ z1 + z2 + z3 + Y =~ y1 + y2 + y3 + + # Inner Model + Y ~ X + Z + X:Z + ' + + + rthreshold <- \(k, offset = runif(1, min = -1, max = 1), sigma = 0.35) { + t <- seq_len(k) - mean(seq_len(k)) + offset + t <- t + runif(k, min = -sigma, max = sigma) + c(-Inf, t, Inf) + } + + + cut_data <- function(data, k = 5, choose = NULL) { + if (is.null(choose)) + choose <- colnames(data) + + standardize <- \(x) (x - mean(x)) / sd(x) + + thresholds <- list() + for (var in choose) { + x <- standardize(data[[var]]) + t <- rthreshold(k) + y <- cut(x, breaks = t, ordered_result = TRUE) + + min.x <- min(x) + max.x <- max(x) + + data[[var]] <- y + thresholds[[var]] <- t[t >= min.x & t <= max.x] + } + + list(data = data, thresholds = thresholds) + } + + + choose <- colnames(oneInt) + set.seed(2837290) + CUTS <- cut_data(oneInt, choose = choose) + oneInt2 <- CUTS$data + compiled <- compile_stan_model(m1, ordered = choose) + stan <- modsem_stan(compiled_model = compiled, data = oneInt2, + ordered = choose, iter = 10000) + thresholds <- CUTS$thresholds + + thresholds.table <- NULL + parTable <- parameter_estimates(lms1) + for (col in choose) { + tau.true <- thresholds[[col]] + tau.true <- tau.true[is.finite(tau.true)] + mask <- parTable$lhs == col & parTable$op == "|" + tau.est <- parTable[mask, "est"] + tau.lower <- parTable[mask, "ci.lower"] + tau.upper <- parTable[mask, "ci.upper"] + pars <- paste0(col, "|t", seq_along(tau.true)) + + rows <- data.frame(parameter = pars, true = tau.true, + est = tau.est, diff = tau.true - tau.est, + ci.lower = tau.lower, ci.upper = tau.upper, + ok = tau.true >= tau.lower & tau.true <= tau.upper) + thresholds.table <- rbind(thresholds.table, rows) + } + + print(modsemParTable(thresholds.table)) + testthat::expect_true(sum(thresholds.table$ok) / NROW(thresholds.table) >= 0.95) # 95% confidence +} From 26cd55aff45ada8f13cbaca81bd76f4a3a12ae13 Mon Sep 17 00:00:00 2001 From: kss2k Date: Wed, 20 Aug 2025 10:58:08 +0200 Subject: [PATCH 24/51] Fix Merge-conflict in DESCRIPTION --- DESCRIPTION | 1 - 1 file changed, 1 deletion(-) diff --git a/DESCRIPTION b/DESCRIPTION index 36338a4d..a3064c1f 100644 --- a/DESCRIPTION +++ b/DESCRIPTION @@ -60,7 +60,6 @@ LinkingTo: Rcpp, RcppArmadillo Imports: Rcpp, purrr, stringr, lavaan, rlang, MplusAutomation, nlme, dplyr, mvnfast, stats, fastGHQuad, mvtnorm, ggplot2, parallel, plotly, Deriv, MASS, Amelia, grDevices, cli, RhpcBLASctl ->>>>>>> main Depends: R (>= 4.1.0) URL: https://modsem.org From 3c4f077fda8f3c1d6602c39eefabb7070fdbd4f6 Mon Sep 17 00:00:00 2001 From: kss2k Date: Wed, 20 Aug 2025 16:47:11 +0200 Subject: [PATCH 25/51] Add constraints to ordinal solution --- R/create_stan_model.R | 145 ++++++++++++++++++++++++------------------ 1 file changed, 83 insertions(+), 62 deletions(-) diff --git a/R/create_stan_model.R b/R/create_stan_model.R index 9ddc2984..32760a5b 100644 --- a/R/create_stan_model.R +++ b/R/create_stan_model.R @@ -101,6 +101,14 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, allInds <- c(allIndsXis, allIndsEtas) numAllInds <- length(allInds) + # NEW: normalize and precompute ordinal sets + if (is.null(ordered)) ordered <- character(0) + ord_set <- unique(ordered) + is_all_ordinal_lv <- vapply(lVs, function(lv) { + inds <- indsLVs[[lv]] + length(inds) > 0 && all(inds %in% ord_set) + }, logical(1)) + collapse <- function(..., sep = "\n") { args <- list(...) do.call( @@ -136,67 +144,51 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, inds <- indsLVs[[lV]] k <- length(inds) - # --- data {}: keep the matrix for legacy pipelines (cols unused if ordinal) + # Keep the legacy matrix (harmless for ordinal cols) dataInds <- sprintf("matrix[N, %d] INDICATORS_%s;", k, lV) - # We will accumulate code per-indicator to allow mixing ordinal/continuous. par_lines <- character() model_lines <- character() data_lines <- dataInds - # Names for parameters that exist irrespective of ordinal/continuous - # Intercepts: - labTau <- sprintf("%s__INTERCEPT", inds) - par_lines <- c(par_lines, sprintf("real %s;", labTau)) - - # Loadings: first is fixed to 1 by construction; free for the rest - # (we keep your original labels X__MEASUREMENT__x2 etc.) - free_inds <- inds[-1] - labLambda <- if (length(free_inds)) sprintf("%s__MEASUREMENT__%s", lV, free_inds) else character(0) - if (length(labLambda)) { - par_lines <- c(par_lines, sprintf("real %s;", labLambda)) + # Intercepts: ONLY for continuous indicators + cont_inds <- inds[!inds %in% ord_set] + if (length(cont_inds)) { + par_lines <- c(par_lines, sprintf("real %s__INTERCEPT;", cont_inds)) } + # NOTE: no intercepts for ordinal items - # Residual SDs (continuous-only) and ordinal cutpoints (ordinal-only) will be added in the loop + # Loadings: first fixed to 1; free for the rest (all items share this rule) + if (k > 1L) { + free_inds <- inds[-1L] + if (length(free_inds)) { + par_lines <- c(par_lines, sprintf("real %s__MEASUREMENT__%s;", lV, free_inds)) + } + } for (j in seq_along(inds)) { ind <- inds[j] # loading term: first indicator fixed to 1, others use their free parameter loading_term <- if (j == 1L) "1" else sprintf("%s__MEASUREMENT__%s", lV, ind) - if (ind %in% ordered) { - # ---- ORDINAL INDICATOR ---- - # data: category count + integer responses + if (ind %in% ord_set) { + # -------- ORDINAL INDICATOR (NO intercept) -------- data_lines <- paste0( data_lines, "\n", sprintf("int K_%s;", ind), "\n", sprintf("int INDICATORS_%s[N];", ind, ind) ) - - # parameters: NO residual SD; add cutpoints - par_lines <- c( - par_lines, - sprintf("ordered[K_%s - 1] %s__CUTPOINTS;", ind, ind) - ) - - # model: cumulative logit with linear predictor + par_lines <- c(par_lines, sprintf("ordered[K_%s - 1] %s__CUTPOINTS;", ind, ind)) model_lines <- c( model_lines, - sprintf("{"), - sprintf(" vector[N] eta_%s = %s__INTERCEPT + %s * %s;", ind, ind, loading_term, lV), + "{", + sprintf(" vector[N] eta_%s = %s * %s;", ind, loading_term, lV), sprintf(" INDICATORS_%s ~ ordered_logistic(eta_%s, %s__CUTPOINTS);", ind, ind, ind), - sprintf("}") + "}" ) - } else { - # ---- CONTINUOUS INDICATOR ---- - # parameters: residual SD present - par_lines <- c( - par_lines, - sprintf("real %s__COVARIANCE__%s;", ind, ind) - ) - - # model: Gaussian measurement eq. + # -------- CONTINUOUS INDICATOR -------- + par_lines <- c(par_lines, sprintf("real %s__COVARIANCE__%s;", ind, ind)) model_lines <- c( model_lines, sprintf("INDICATORS_%s[,%d] ~ normal(%s__INTERCEPT + %s * %s, %s__COVARIANCE__%s);", @@ -215,18 +207,43 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, STAN_PAR_XIS <- function(xis) { k <- length(xis) - # parameters {} + # Identify which xi's are all-ordinal + fix_idx <- which(vapply(xis, function(lv) is_all_ordinal_lv[lv], logical(1))) + free_idx <- setdiff(seq_len(k), fix_idx) + parLOmega <- sprintf("cholesky_factor_corr[%d] L_Omega;", k) - parSqrtDPhi <- sprintf("vector[%d] sqrtD_Phi;", k) - # parZXiMat <- sprintf("matrix[N, %d] Z_XI_Matrix;", k) + + parSqrtDPhi <- if (length(free_idx) > 0L) { + sprintf("vector[%d] sqrtD_Phi_free;", length(free_idx)) + } else { + NULL + } parXiMat <- sprintf("matrix[N, %d] XI_Matrix;", k) - # transformed parameters {} + # transformed parameters: rebuild sqrtD_Phi with fixed 1's at fix_idx + tparBuildSqrt <- c( + sprintf("vector[%d] sqrtD_Phi;", k), + " {", + if (length(free_idx) > 0L) " int c = 1;" else NULL, + if (length(seq_len(k)) > 0L) { + paste0( + vapply(seq_len(k), function(i) { + if (i %in% fix_idx) { + sprintf(" sqrtD_Phi[%d] = 1;", i) + } else { + sprintf(" sqrtD_Phi[%d] = sqrtD_Phi_free[c]; c += 1;", i) + } + }, character(1L)), + collapse = "\n" + ) + } else NULL, + " }" + ) + tparLSigma <- sprintf("matrix[%d, %d] L_Sigma = diag_pre_multiply(sqrtD_Phi, L_Omega);", k, k) tparMuXi <- sprintf("row_vector[%d] MU_XI = rep_row_vector(0, %d);", k, k) tparXiArr <- sprintf("array[N] vector[%d] XI_Array;", k) tparXiArrFill <- "for (i in 1:N) {XI_Array[i] = (XI_Matrix[i, ])';}" - tparXi <- sprintf("matrix[N, %d] XI_Matrix = Z_XI_Matrix * L_Sigma';", k) xiVectors <- NULL for (i in seq_along(xis)) { @@ -234,44 +251,48 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, xiVector <- sprintf("vector[N] %s = col(XI_Matrix, %d);", name, i) xiVectors <- c(xiVectors, xiVector) } - tparXiVectors <- collapse(xiVectors) - # model {} - modLOmega <- sprintf("L_Omega ~ lkj_corr_cholesky(1);") - # modZXiMat <- "to_vector(Z_XI_Matrix) ~ normal(0, 1);" - # modXiMat <- "for (n in 1:N) {XI_Matrix[n,] ~ multi_normal_cholesky(MU_XI, L_Sigma);}" - modXiArr <- "XI_Array ~ multi_normal_cholesky(MU_XI, L_Sigma);" + modLOmega <- "L_Omega ~ lkj_corr_cholesky(1);" + modXiArr <- "XI_Array ~ multi_normal_cholesky(MU_XI, L_Sigma);" - parameters <- collapse(parLOmega, parSqrtDPhi, parXiMat) - tparameters <- collapse(tparLSigma, tparXiVectors, tparMuXi, tparXiArr, tparXiArrFill) - model <- collapse(modLOmega, modXiArr) + parameters <- collapse(c(parLOmega, parSqrtDPhi, parXiMat)) + tparameters <- collapse(c(tparBuildSqrt, tparLSigma, tparXiVectors, tparMuXi, tparXiArr, tparXiArrFill)) + model <- collapse(c(modLOmega, modXiArr)) EXCLUDE.PARS <<- c(EXCLUDE.PARS, "XI_Array", "XI_Matrix", xis) - list(parameters = parameters, transformed_parameters = tparameters, - model = model) + list(parameters = parameters, transformed_parameters = tparameters, model = model) } STAN_PAR_ETA <- function(eta) { indeps <- unique(parTable[parTable$lhs == eta & parTable$op == "~", "rhs"]) - indeps <- stringr::str_replace_all(indeps, pattern = ":", - replacement = "__XWITH__") + indeps <- stringr::str_replace_all(indeps, pattern = ":", replacement = "__XWITH__") # parameters {} labBeta <- sprintf("%s__REGRESSION__%s", eta, indeps) - labSD <- sprintf("%s__COVARIANCE__%s", eta, eta) - parBeta <- sprintf("real %s;", labBeta) + # Is this latent all-ordinal? + all_ord <- is_all_ordinal_lv[eta] + + parBeta <- if (length(labBeta)) sprintf("real %s;", labBeta) else NULL parValues <- sprintf("vector[N] %s;", eta) - parSD <- sprintf("real %s;", labSD) - # model {} - projEta <- collapse(sprintf("%s * %s", labBeta, indeps), sep = " + ") - modEta <- sprintf("%s ~ normal(%s, %s);", eta, projEta, labSD) + if (all_ord) { + # FIX scale: no SD parameter; use 1 in the likelihood + parSD <- NULL + projEta <- if (length(indeps)) collapse(sprintf("%s * %s", labBeta, indeps), sep = " + ") else "0" + modEta <- sprintf("%s ~ normal(%s, 1);", eta, projEta) + } else { + # Original: estimate disturbance SD + labSD <- sprintf("%s__COVARIANCE__%s", eta, eta) + parSD <- sprintf("real %s;", labSD) + projEta <- if (length(indeps)) collapse(sprintf("%s * %s", labBeta, indeps), sep = " + ") else "0" + modEta <- sprintf("%s ~ normal(%s, %s);", eta, projEta, labSD) + } - parameters <- collapse(parValues, parSD, parBeta) + parameters <- collapse(c(parValues, parSD, parBeta)) EXCLUDE.PARS <<- c(EXCLUDE.PARS, eta) From f3595dc4c5995daefa70dfd5a3957f81da80a425 Mon Sep 17 00:00:00 2001 From: kss2k Date: Thu, 21 Aug 2025 16:41:25 +0200 Subject: [PATCH 26/51] Working ordered MCMC --- R/create_stan_model.R | 99 +++++++++++++++++++++++++------------------ R/modsem_stan.R | 2 + 2 files changed, 59 insertions(+), 42 deletions(-) diff --git a/R/create_stan_model.R b/R/create_stan_model.R index 32760a5b..3c672ad8 100644 --- a/R/create_stan_model.R +++ b/R/create_stan_model.R @@ -54,7 +54,10 @@ generated quantities { #' @param force Should compilation of previously compiled models be forced? #' @export compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, - ordered = NULL) { + ordered = NULL, ordered.link = c("logit", "probit")) { + ordered.link <- tolower(ordered.link) + ordered.link <- match.arg(ordered.link) + if (is.null(ordered)) ordered <- character(0) @@ -66,6 +69,14 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, ) } + if (ordered.link == "probit") { + resSDFormulaInd <- "1" + orderedLinkFun <- "ordered_probit" + } else if (ordered.link == "logit") { + resSDFormulaInd <- "sqrt((pi()^2)/3)" + orderedLinkFun <- "ordered_logistic" + } + parTable <- modsemify(model.syntax) # endogenous variables (etas)model @@ -139,68 +150,69 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, GENERATED_QUANTITIES <- NULL EXCLUDE.PARS <- NULL - STAN_INDS_LV <- function(lV) { inds <- indsLVs[[lV]] k <- length(inds) - # Keep the legacy matrix (harmless for ordinal cols) dataInds <- sprintf("matrix[N, %d] INDICATORS_%s;", k, lV) par_lines <- character() model_lines <- character() data_lines <- dataInds + tpar_lines <- character() # <-- NEW: collect derived variances here - # Intercepts: ONLY for continuous indicators + # Intercepts only for continuous indicators cont_inds <- inds[!inds %in% ord_set] - if (length(cont_inds)) { - par_lines <- c(par_lines, sprintf("real %s__INTERCEPT;", cont_inds)) - } - # NOTE: no intercepts for ordinal items + ord_inds <- inds[inds %in% ord_set] + inds <- c(cont_inds, ord_inds) # sort by continuous first + if (length(cont_inds)) par_lines <- c(par_lines, sprintf("real %s__INTERCEPT;", cont_inds)) - # Loadings: first fixed to 1; free for the rest (all items share this rule) - if (k > 1L) { - free_inds <- inds[-1L] - if (length(free_inds)) { - par_lines <- c(par_lines, sprintf("real %s__MEASUREMENT__%s;", lV, free_inds)) - } - } + # Loadings (first fixed) + if (length(cont_inds) > 1L) free_inds <- c(cont_inds[-1L], ord_inds) + else free_inds <- ord_inds + if (length(free_inds)) par_lines <- c(par_lines, sprintf("real %s__MEASUREMENT__%s;", lV, free_inds)) for (j in seq_along(inds)) { - ind <- inds[j] - # loading term: first indicator fixed to 1, others use their free parameter - loading_term <- if (j == 1L) "1" else sprintf("%s__MEASUREMENT__%s", lV, ind) + ind <- inds[j] # inds is sorted such that cotinuous indicators are first + loading_term <- if (j == 1L && !ind %in% ord_set) "1" else sprintf("%s__MEASUREMENT__%s", lV, ind) if (ind %in% ord_set) { - # -------- ORDINAL INDICATOR (NO intercept) -------- - data_lines <- paste0( - data_lines, "\n", - sprintf("int K_%s;", ind), "\n", - sprintf("int INDICATORS_%s[N];", ind, ind) + # ---- ORDINAL (no intercept) ---- + data_lines <- paste0(data_lines, "\n", + sprintf("int K_%s;", ind), "\n", + sprintf("int INDICATORS_%s[N];", ind, ind) ) par_lines <- c(par_lines, sprintf("ordered[K_%s - 1] %s__CUTPOINTS;", ind, ind)) model_lines <- c( model_lines, "{", sprintf(" vector[N] eta_%s = %s * %s;", ind, loading_term, lV), - sprintf(" INDICATORS_%s ~ ordered_logistic(eta_%s, %s__CUTPOINTS);", ind, ind, ind), + sprintf(" INDICATORS_%s ~ %s(eta_%s, %s__CUTPOINTS);", ind, orderedLinkFun, ind, ind), "}" ) + # ---- Derived residual std-dev for ordinal indicator (logit link) ---- + tpar_lines <- c( + tpar_lines, + sprintf("real %s__COVARIANCE__%s = %s;", ind, ind, resSDFormulaInd) + ) + # For probit, replace RHS with "1". } else { - # -------- CONTINUOUS INDICATOR -------- + # ---- CONTINUOUS ---- par_lines <- c(par_lines, sprintf("real %s__COVARIANCE__%s;", ind, ind)) model_lines <- c( - model_lines, - sprintf("INDICATORS_%s[,%d] ~ normal(%s__INTERCEPT + %s * %s, %s__COVARIANCE__%s);", - lV, j, ind, loading_term, lV, ind, ind) + model_lines, + sprintf("INDICATORS_%s[,%d] ~ normal(%s__INTERCEPT + %s * %s, %s__COVARIANCE__%s);", + lV, j, ind, loading_term, lV, ind, ind) ) + # Do NOT add a transformed-parameters alias here—name already used by the parameter. } } list( - parameters = collapse(par_lines), - model = collapse(model_lines), - data = collapse(data_lines) + parameters = collapse(par_lines), + model = collapse(model_lines), + data = collapse(data_lines), + transformed_parameters = collapse(tpar_lines) # <-- NEW ) } @@ -265,41 +277,44 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, list(parameters = parameters, transformed_parameters = tparameters, model = model) } - STAN_PAR_ETA <- function(eta) { indeps <- unique(parTable[parTable$lhs == eta & parTable$op == "~", "rhs"]) - indeps <- stringr::str_replace_all(indeps, pattern = ":", replacement = "__XWITH__") + indeps <- stringr::str_replace_all(indeps, ":", "__XWITH__") - # parameters {} labBeta <- sprintf("%s__REGRESSION__%s", eta, indeps) - - # Is this latent all-ordinal? all_ord <- is_all_ordinal_lv[eta] parBeta <- if (length(labBeta)) sprintf("real %s;", labBeta) else NULL parValues <- sprintf("vector[N] %s;", eta) + tpar_lines <- NULL # <-- NEW + if (all_ord) { - # FIX scale: no SD parameter; use 1 in the likelihood + # FIXED disturbance SD = 1 parSD <- NULL projEta <- if (length(indeps)) collapse(sprintf("%s * %s", labBeta, indeps), sep = " + ") else "0" modEta <- sprintf("%s ~ normal(%s, 1);", eta, projEta) + + # Expose the fixed residual variance under the usual name + tpar_lines <- sprintf("real %s__COVARIANCE__%s = 1;", eta, eta) # <-- NEW } else { - # Original: estimate disturbance SD + # Free disturbance SD (parameter remains as before) labSD <- sprintf("%s__COVARIANCE__%s", eta, eta) parSD <- sprintf("real %s;", labSD) projEta <- if (length(indeps)) collapse(sprintf("%s * %s", labBeta, indeps), sep = " + ") else "0" modEta <- sprintf("%s ~ normal(%s, %s);", eta, projEta, labSD) } - parameters <- collapse(c(parValues, parSD, parBeta)) - + parameters <- collapse(c(parValues, parSD, parBeta)) EXCLUDE.PARS <<- c(EXCLUDE.PARS, eta) - list(parameters = parameters, model = modEta) + list( + parameters = parameters, + model = modEta, + transformed_parameters = collapse(tpar_lines) # <-- NEW (may be NULL) + ) } - STAN_COMPUTED_PRODUCTS <- function(intTerms) { transformed_parameters <- NULL diff --git a/R/modsem_stan.R b/R/modsem_stan.R index 123a16a2..c16fae45 100644 --- a/R/modsem_stan.R +++ b/R/modsem_stan.R @@ -58,6 +58,8 @@ modsem_stan <- function(model.syntax = NULL, warmup = warmup, pars = compiled_model$info$exclude.pars, include = FALSE, + # adapt_delta = 0.95, + # max_treedepth = 12, ...) diagnostics <- rstan::summary(fit)$summary From f3702afe5dfca1065cec54aad4cd62bda683928c Mon Sep 17 00:00:00 2001 From: kss Date: Thu, 21 Aug 2025 20:12:39 +0200 Subject: [PATCH 27/51] Add handling of some basic model constraints --- R/create_stan_model.R | 315 +++++++++++++++++++++++++++++++++--------- R/modsem_stan.R | 115 ++++++++++----- 2 files changed, 328 insertions(+), 102 deletions(-) diff --git a/R/create_stan_model.R b/R/create_stan_model.R index 3c672ad8..f85966b1 100644 --- a/R/create_stan_model.R +++ b/R/create_stan_model.R @@ -8,6 +8,7 @@ STAN_OPERATOR_LABELS <- c( "__INTERCEPT" = "~1", "__REGRESSION__" = "~", "__COVARIANCE__" = "~~", + "__STDDEV__" = "~~~", "__MEASUREMENT__" = "=~", "__XWITH__" = ":" ) @@ -70,11 +71,13 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, } if (ordered.link == "probit") { - resSDFormulaInd <- "1" - orderedLinkFun <- "ordered_probit" + resVarFormulaInd <- "1" + resSDFormulaInd <- "1" + orderedLinkFun <- "ordered_probit" } else if (ordered.link == "logit") { - resSDFormulaInd <- "sqrt((pi()^2)/3)" - orderedLinkFun <- "ordered_logistic" + resVarFormulaInd <- "(pi()^2)/3" + resSDFormulaInd <- sprintf("sqrt(%s)", resVarFormulaInd) + orderedLinkFun <- "ordered_logistic" } parTable <- modsemify(model.syntax) @@ -115,7 +118,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, # NEW: normalize and precompute ordinal sets if (is.null(ordered)) ordered <- character(0) ord_set <- unique(ordered) - is_all_ordinal_lv <- vapply(lVs, function(lv) { + is_allOrdinal_lv <- vapply(lVs, function(lv) { inds <- indsLVs[[lv]] length(inds) > 0 && all(inds %in% ord_set) }, logical(1)) @@ -143,6 +146,8 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, } " + getMod <- \(lhs, op, rhs) getModParTable(lhs, op, rhs, parTable = parTable) + DATA <- "int N; // sample size" PARAMETERS <- NULL TRANSFORMED_PARAMETERS <- NULL @@ -154,82 +159,154 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, inds <- indsLVs[[lV]] k <- length(inds) - dataInds <- sprintf("matrix[N, %d] INDICATORS_%s;", k, lV) - par_lines <- character() - model_lines <- character() - data_lines <- dataInds - tpar_lines <- character() # <-- NEW: collect derived variances here + parLines <- character() + modelLines <- character() + quantLines <- character() + dataInds <- sprintf("matrix[N, %d] INDICATORS_%s;", length(inds), lV) + dataLines <- dataInds + tparLines <- character() # Intercepts only for continuous indicators - cont_inds <- inds[!inds %in% ord_set] - ord_inds <- inds[inds %in% ord_set] - inds <- c(cont_inds, ord_inds) # sort by continuous first - if (length(cont_inds)) par_lines <- c(par_lines, sprintf("real %s__INTERCEPT;", cont_inds)) - - # Loadings (first fixed) - if (length(cont_inds) > 1L) free_inds <- c(cont_inds[-1L], ord_inds) - else free_inds <- ord_inds - if (length(free_inds)) par_lines <- c(par_lines, sprintf("real %s__MEASUREMENT__%s;", lV, free_inds)) - - for (j in seq_along(inds)) { - ind <- inds[j] # inds is sorted such that cotinuous indicators are first - loading_term <- if (j == 1L && !ind %in% ord_set) "1" else sprintf("%s__MEASUREMENT__%s", lV, ind) - - if (ind %in% ord_set) { - # ---- ORDINAL (no intercept) ---- - data_lines <- paste0(data_lines, "\n", - sprintf("int K_%s;", ind), "\n", - sprintf("int INDICATORS_%s[N];", ind, ind) - ) - par_lines <- c(par_lines, sprintf("ordered[K_%s - 1] %s__CUTPOINTS;", ind, ind)) - model_lines <- c( - model_lines, - "{", - sprintf(" vector[N] eta_%s = %s * %s;", ind, loading_term, lV), - sprintf(" INDICATORS_%s ~ %s(eta_%s, %s__CUTPOINTS);", ind, orderedLinkFun, ind, ind), - "}" - ) - # ---- Derived residual std-dev for ordinal indicator (logit link) ---- - tpar_lines <- c( - tpar_lines, - sprintf("real %s__COVARIANCE__%s = %s;", ind, ind, resSDFormulaInd) - ) - # For probit, replace RHS with "1". + contInds <- inds[!inds %in% ord_set] + ordInds <- inds[inds %in% ord_set] + + fixContVar <- length(contInds) + length(ordInds) <= 1L + + for (i in seq_along(contInds)) { + ind <- contInds[[i]] + parInterceptInd <- sprintf("real %s__INTERCEPT;", ind) + parLambdaInd <- sprintf("real %s__MEASUREMENT__%s;", ind, ind) + + modTauInd <- getMod(lhs = ind, op = "~1", rhs = "") + modLambdaInd <- getMod(lhs = lV, op = "=~", rhs = ind) + modVarInd <- getMod(lhs = ind, op = "~~", rhs = ind) + + fixTauInd <- !is.na(modTauInd) + fixLambdaInd <- !is.na(modLambdaInd) || i == 1L + fixContVarInd <- !is.na(modVarInd) || fixContVar + + if (fixTauInd) { + parTauInd <- NULL + tparTauInd <- sprintf("real %s__INTERCEPT = %s;", ind, modTauInd) } else { - # ---- CONTINUOUS ---- - par_lines <- c(par_lines, sprintf("real %s__COVARIANCE__%s;", ind, ind)) - model_lines <- c( - model_lines, - sprintf("INDICATORS_%s[,%d] ~ normal(%s__INTERCEPT + %s * %s, %s__COVARIANCE__%s);", - lV, j, ind, loading_term, lV, ind, ind) - ) - # Do NOT add a transformed-parameters alias here—name already used by the parameter. + parTauInd <- sprintf("real %s__INTERCEPT;", ind) + tparTauInd <- NULL + } + + if (fixLambdaInd) { + mod <- if (!is.na(modLambdaInd)) modLambdaInd else "1" + parLambdaInd <- NULL + tparLambdaInd <- sprintf("real %s__MEASUREMENT__%s = %s;", lV, ind, mod) + } else { + parLambdaInd <- sprintf("real %s__MEASUREMENT__%s;", lV, ind) + tparLambdaInd <- NULL + } + + if (fixContVarInd) { + mod <- if (!is.na(modVarInd)) modVarInd else "0" + parResSDInd <- NULL + tparResSDInd <- sprintf("real %s__STDDEV__%s = sqrt(%s);", ind, ind, mod) + } else { + parResSDInd <- sprintf("real %s__STDDEV__%s;", ind, ind) + tparResSDInd <- NULL } + tparResVarInd <- sprintf( + "real %s__STDDEV__%s = %s__COVARIANCE__%s^2;", + ind, ind, ind, ind + ) + + modMeasrInd <- sprintf( + "INDICATORS_%s[,%d] ~ normal(%s__INTERCEPT + %s__MEASUREMENT__%s * %s, %s__STDDEV__%s);", + lV, i, ind, lV, ind, lV, ind, ind + ) + + parLines <- c( + parLines, + parTauInd, + parLambdaInd, + parResSDInd + ) + + tparLines <- c( + tparLines, + tparTauInd, + tparLambdaInd, + tparResSDInd + ) + + modelLines <- c( + modelLines, + modMeasrInd + ) + } + + for (j in seq_along(ordInds)) { + ind <- ordInds[[j]] + + if (TRUE) parLambdaInd <- sprintf("real %s__UMEASUREMENT__%s;", lV, ind) + else parLambdaInd <- sprintf("real %s__UMEASUREMENT__%s;", lV, ind) + + dataK_Ind <- sprintf("int K_%s;", ind) + dataInd <- sprintf("int ORD_INDICATOR_%s[N];", ind, ind) + parCutInd <- sprintf("ordered[K_%s - 1] %s__UCUTPOINTS;", ind, ind) + responseInd <- sprintf("vector[N] LV_RESPONSE_%s_ = %s__UMEASUREMENT__%s * %s;", ind, lV, ind, lV) + likelihoodInd <- sprintf("ORD_INDICATOR_%s ~ %s(LV_RESPONSE_%s_, %s__UCUTPOINTS);", + ind, orderedLinkFun, ind, ind) + modMeasrInd <- sprintf("{\n %s\n %s\n}", responseInd, likelihoodInd) + + quantTotalVarInd <- sprintf( + "real TOTAL_VAR_%s_ = (%s__UMEASUREMENT__%s ^ 2) * cov_vector(%s, %s) + %s;", + ind, lV, ind, lV, lV, resVarFormulaInd + ) + + quantStdCutPoints <- sprintf( + "ordered[K_%s - 1] %s__CUTPOINTS = %s__UCUTPOINTS / sqrt(TOTAL_VAR_%s_);", + ind, ind, ind, ind + ) + + quantLambdaInd <- sprintf( + "real %s__MEASUREMENT__%s = %s__UMEASUREMENT__%s / sqrt(TOTAL_VAR_%s_);", + lV, ind, lV, ind, ind + ) + + quantResVarInd <- sprintf( + "real %s__COVARIANCE__%s = %s / TOTAL_VAR_%s_;", + ind, ind, resVarFormulaInd, ind + ) + + dataLines <- c(dataLines, dataK_Ind, dataInd) + parLines <- c(parLines, parLambdaInd, parCutInd) + quantLines <- c(quantLines, quantTotalVarInd, quantStdCutPoints, + quantResVarInd, quantLambdaInd) + modelLines <- c(modelLines, modMeasrInd) } list( - parameters = collapse(par_lines), - model = collapse(model_lines), - data = collapse(data_lines), - transformed_parameters = collapse(tpar_lines) # <-- NEW + parameters = collapse(parLines), + model = collapse(modelLines), + data = collapse(dataLines), + transformed_parameters = collapse(tparLines), + generated_quantities = collapse(quantLines) ) } + # Centered parameterization STAN_PAR_XIS <- function(xis) { k <- length(xis) # Identify which xi's are all-ordinal - fix_idx <- which(vapply(xis, function(lv) is_all_ordinal_lv[lv], logical(1))) + fix_idx <- which(vapply(xis, function(lv) is_allOrdinal_lv[lv], logical(1))) free_idx <- setdiff(seq_len(k), fix_idx) parLOmega <- sprintf("cholesky_factor_corr[%d] L_Omega;", k) - parSqrtDPhi <- if (length(free_idx) > 0L) { - sprintf("vector[%d] sqrtD_Phi_free;", length(free_idx)) + if (length(free_idx) > 0L) { + parSqrtDPhi <- sprintf("vector[%d] sqrtD_Phi_free;", length(free_idx)) } else { - NULL + parSqrtDPhi <- NULL } + parXiMat <- sprintf("matrix[N, %d] XI_Matrix;", k) # transformed parameters: rebuild sqrtD_Phi with fixed 1's at fix_idx @@ -277,30 +354,114 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, list(parameters = parameters, transformed_parameters = tparameters, model = model) } + # Non-centered parameterization + # STAN_PAR_XIS <- function(xis) { + # k <- length(xis) + # + # # Identify which xi's are all-ordinal (variance fixed to 1) + # fix_idx <- which(vapply(xis, function(lv) is_allOrdinal_lv[lv], logical(1))) + # free_idx <- setdiff(seq_len(k), fix_idx) + # + # # ---------------- parameters ---------------- + # parLOmega <- sprintf("cholesky_factor_corr[%d] L_Omega;", k) + # + # if (length(free_idx) > 0L) { + # parSqrtDPhi <- sprintf("vector[%d] sqrtD_Phi_free;", length(free_idx)) + # } else { + # parSqrtDPhi <- NULL + # } + # + # # Non-centered: matrix of standard normals (N x k) + # parZ <- sprintf("matrix[N, %d] z_XI;", k) + # + # # ---------------- transformed parameters ---------------- + # # Rebuild sqrtD_Phi with fixed 1's at fix_idx + # tparBuildSqrt <- c( + # sprintf("vector[%d] sqrtD_Phi;", k), + # "{", + # if (length(free_idx) > 0L) " int c = 1;" else NULL, + # if (k > 0L) { + # paste0( + # vapply(seq_len(k), function(i) { + # if (i %in% fix_idx) { + # sprintf(" sqrtD_Phi[%d] = 1;", i) + # } else { + # sprintf(" sqrtD_Phi[%d] = sqrtD_Phi_free[c]; c += 1;", i) + # } + # }, character(1L)), + # collapse = "\n" + # ) + # } else NULL, + # "}" + # ) + # + # tparLSigma <- sprintf("matrix[%d, %d] L_Sigma = diag_pre_multiply(sqrtD_Phi, L_Omega);", k, k) + # + # # Row-vector mean (0 by default). Change if you want non-zero LV means. + # tparMuXi <- sprintf("row_vector[%d] MU_XI = rep_row_vector(0, %d);", k, k) + # + # # Build XI_Matrix in one vectorised statement: + # # each row: MU_XI + z_i * L_Sigma' + # tparXiMatDecl <- sprintf("matrix[N, %d] XI_Matrix;", k) + # tparXiMatFill <- "XI_Matrix = rep_matrix(MU_XI, N) + z_XI * L_Sigma';" + # + # # Also expose named column vectors (X, Z, ...) for downstream code + # xiVectors <- NULL + # for (i in seq_along(xis)) { + # xiVectors <- c(xiVectors, sprintf("vector[N] %s = col(XI_Matrix, %d);", xis[[i]], i)) + # } + # tparXiVectors <- collapse(xiVectors) + # + # # ---------------- model ---------------- + # modLOmega <- "L_Omega ~ lkj_corr_cholesky(1);" + # # Non-centered prior: standard normals (vectorised via to_vector) + # modZ <- "to_vector(z_XI) ~ std_normal();" + # # (Optionally add a weak prior for sqrtD_Phi_free if desired.) + # + # parameters <- collapse(c(parLOmega, parSqrtDPhi, parZ)) + # transformed <- collapse(c( + # tparBuildSqrt, tparLSigma, tparMuXi, + # tparXiMatDecl, tparXiMatFill, + # tparXiVectors + # )) + # model <- collapse(c(modLOmega, modZ)) + # + # # Hide internals if you use an exclusion mechanism + # EXCLUDE.PARS <<- c(EXCLUDE.PARS, "z_XI", "XI_Matrix", xis) + # + # list( + # parameters = parameters, + # transformed_parameters = transformed, + # model = model + # ) + # } + STAN_PAR_ETA <- function(eta) { indeps <- unique(parTable[parTable$lhs == eta & parTable$op == "~", "rhs"]) indeps <- stringr::str_replace_all(indeps, ":", "__XWITH__") labBeta <- sprintf("%s__REGRESSION__%s", eta, indeps) - all_ord <- is_all_ordinal_lv[eta] + allOrd <- is_allOrdinal_lv[eta] parBeta <- if (length(labBeta)) sprintf("real %s;", labBeta) else NULL parValues <- sprintf("vector[N] %s;", eta) - tpar_lines <- NULL # <-- NEW + tparLines <- NULL - if (all_ord) { + if (allOrd) { # FIXED disturbance SD = 1 parSD <- NULL projEta <- if (length(indeps)) collapse(sprintf("%s * %s", labBeta, indeps), sep = " + ") else "0" modEta <- sprintf("%s ~ normal(%s, 1);", eta, projEta) # Expose the fixed residual variance under the usual name - tpar_lines <- sprintf("real %s__COVARIANCE__%s = 1;", eta, eta) # <-- NEW + tparLines <- sprintf("real %s__COVARIANCE__%s = 1;", eta, eta) + } else { # Free disturbance SD (parameter remains as before) - labSD <- sprintf("%s__COVARIANCE__%s", eta, eta) + labSD <- sprintf("%s__STDDEV__%s", eta, eta) parSD <- sprintf("real %s;", labSD) + tparLines <- sprintf("real %s__COVARIANCE__%s = %s^2;", eta, eta, labSD) projEta <- if (length(indeps)) collapse(sprintf("%s * %s", labBeta, indeps), sep = " + ") else "0" modEta <- sprintf("%s ~ normal(%s, %s);", eta, projEta, labSD) } @@ -311,7 +472,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, list( parameters = parameters, model = modEta, - transformed_parameters = collapse(tpar_lines) # <-- NEW (may be NULL) + transformed_parameters = collapse(tparLines) ) } @@ -447,7 +608,8 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, indsLVs = indsLVs, allIndsXis = allIndsXis, allIndsEtas = allIndsEtas, - exclude.pars = unique(EXCLUDE.PARS))) + exclude.pars = unique(EXCLUDE.PARS), + parTable = parTable)) } @@ -503,7 +665,7 @@ getStanData <- function(compiled_model, data, missing = "listwise", ordered = NU x_int <- remap_to_consecutive(x_raw) K <- as.integer(max(x_int)) - stan_data[[sprintf("INDICATORS_%s", ind)]] <- x_int + stan_data[[sprintf("ORD_INDICATOR_%s", ind)]] <- x_int stan_data[[sprintf("K_%s", ind)]] <- K } @@ -953,6 +1115,23 @@ specifyModelSTAN <- function(syntax = NULL, ) } + +getModParTable <- function(lhs, op, rhs, parTable, .default = NA) { + parTable[parTable$mod == "", "mod"] <- .default + + if (op == "~~") { + out <- parTable[((parTable$lhs == lhs & parTable$rhs == rhs) | + (parTable$lhs == rhs & parTable$rhs == lhs)) & + parTable$op == op, "mod"] + } else { + out <- parTable[parTable$lhs == lhs & parTable$rhs == rhs & + parTable$op == op, "mod"] + } + + if (!length(out)) .default else out +} + + ## Example # model.syntax <- ' # X =~ x1 + x2 + x3 diff --git a/R/modsem_stan.R b/R/modsem_stan.R index c16fae45..ab26a6e3 100644 --- a/R/modsem_stan.R +++ b/R/modsem_stan.R @@ -78,42 +78,53 @@ modsem_stan <- function(model.syntax = NULL, par_names_raw <- colnames(samples) is_cut <- grepl("__CUTPOINTS\\[[0-9]+\\]$", par_names_raw) - cut_raw <- par_names_raw[is_cut] + cutRaw <- par_names_raw[is_cut] # Extract lhs (indicator) and threshold index - cut_lhs <- sub("__CUTPOINTS\\[[0-9]+\\]$", "", cut_raw) - cut_k <- as.integer(sub("^.*__CUTPOINTS\\[([0-9]+)\\]$", "\\1", cut_raw)) - cut_rhs <- paste0("t", cut_k) - cut_op <- rep("|", length(cut_raw)) + cutLhs <- sub("__CUTPOINTS\\[[0-9]+\\]$", "", cutRaw) + cut_k <- as.integer(sub("^.*__CUTPOINTS\\[([0-9]+)\\]$", "\\1", cutRaw)) + cutRhs <- if (length(cut_k)) paste0("t", cut_k) else NULL + cutOp <- rep("|", length(cutRaw)) # Non-cutpoint parameters - noncut_raw <- par_names_raw[!is_cut] - noncut_clean <- cleanPars(noncut_raw) + noncutRaw <- par_names_raw[!is_cut] + noncutClean <- cleanPars(noncutRaw) - OP <- "~~|=~|~1|~" # lavaan operators we already produce - noncut_op <- stringr::str_extract(noncut_clean, pattern = OP) - noncut_op[is.na(noncut_op)] <- ":=" # fall-back for any derived labels + OP <- "~~~|~~|=~|~1|~" # lavaan operators we already produce + noncutOp <- stringr::str_extract(noncutClean, pattern = OP) + noncutOp[is.na(noncutOp)] <- ":=" - lr <- stringr::str_split_fixed(noncut_clean, pattern = OP, n = 2) - noncut_lhs <- lr[, 1] - noncut_rhs <- lr[, 2] + lr <- stringr::str_split_fixed(noncutClean, pattern = OP, n = 2) + noncutLhs <- lr[, 1] + noncutRhs <- lr[, 2] # Square residual SDs (variances) for deps (as before) - isSD <- noncut_lhs == noncut_rhs & noncut_op == "~~" & (noncut_lhs %in% deps | noncut_rhs %in% deps) - if (any(isSD)) samples[, match(noncut_raw[isSD], par_names_raw)] <- samples[, match(noncut_raw[isSD], par_names_raw)]^2 + isSD <- noncutLhs == noncutRhs & noncutOp == "~~~" + if (any(isSD)) samples[, match(noncutRaw[isSD], par_names_raw)] <- samples[, match(noncutRaw[isSD], par_names_raw)]^2 # Combine back the label pieces for all params (cutpoints first or interleaved – order does not matter) - all_lhs <- c(cut_lhs, noncut_lhs) - all_op <- c(cut_op, noncut_op) - all_rhs <- c(cut_rhs, noncut_rhs) + allLhs <- c(cutLhs, noncutLhs) + allOp <- c(cutOp, noncutOp) + allRhs <- c(cutRhs, noncutRhs) + allOp[allOp == "~~~"] <- "~~" # Reorder samples consistently with the combined vectors - samples <- samples[, c(cut_raw, noncut_raw), drop = FALSE] + samples <- samples[, c(cutRaw, noncutRaw), drop = FALSE] + + # Remove := + keep <- allOp != ":=" + lhs <- allLhs[keep] + op <- allOp[keep] + rhs <- allRhs[keep] + + samples <- samples[, keep, drop = FALSE] + namesSamplesRaw <- colnames(samples) + colnames(samples) <- paste0(lhs, op, rhs) # Summaries + diagnostics <- diagnostics[namesSamplesRaw, , drop = FALSE] coefs <- apply(samples, MARGIN = 2, FUN = mean) vcov <- cov(samples) - diagnostics <- diagnostics[colnames(samples), , drop = FALSE] rhat <- diagnostics[, "Rhat"] neff <- diagnostics[, "n_eff"] @@ -121,29 +132,28 @@ modsem_stan <- function(model.syntax = NULL, pars_clean_for_table <- cleanPars(colnames(samples)) # human-friendly labels where relevant se <- sqrt(diag(vcov)) + + # handle NaNs and zero SEs + se.zero <- se <= .Machine$double.eps + se [se.zero] <- NA + rhat[se.zero | is.nan(rhat)] <- NA + neff[se.zero | is.nan(neff)] <- NA + parTable <- data.frame( - lhs = all_lhs, op = all_op, rhs = all_rhs, + lhs = lhs, op = op, rhs = rhs, est = coefs, std.error = se, - z.value = coefs / se, p.value = 2 * stats::pnorm(-abs(coefs / se)), + z.value = coefs / se, + p.value = 2 * stats::pnorm(-abs(coefs / se)), ci.lower = coefs - CI_WIDTH * se, ci.upper = coefs + CI_WIDTH * se, R.hat = rhat, n.eff = neff, row.names = NULL ) - # Add fixed first-loading rows (as before) - parTable <- rbind( - data.frame(lhs = lVs, op = "=~", - rhs = vapply(lVs, FUN = \(lV) indsLVs[[lV]][[1L]], FUN.VALUE = character(1)), - est = 1, std.error = NA, z.value = NA, p.value = NA, - ci.lower = NA, ci.upper = NA, R.hat = NA, n.eff = NA), - parTable - ) - # Nice ordering: put thresholds with other measurement items if you like; otherwise keep default - parTable <- parTable[order(parTable$op), ] - rownames(parTable) <- NULL - parTable <- modsemParTable(parTable[parTable$op != ":=", , drop = FALSE]) + parTable <- tryCatch(sortParTableStan(parTable, compiled_model$info$parTable), + error = \(e) parTable) + parTable <- modsemParTable(parTable) out <- list( fit = fit, @@ -152,6 +162,7 @@ modsem_stan <- function(model.syntax = NULL, vcov = vcov, samples = samples ) + class(out) <- "modsem_stan" out } @@ -207,3 +218,39 @@ vcov.modsem_stan <- function(object, ...) { coef.modsem_stan <- function(object, ...) { object$coefs } + + +sortParTableStan <- function(parTable, parTable.input) { + etas <- getSortedEtas(parTable.input, isLV = TRUE) + xis <- getXis(parTable.input, checkAny = FALSE, etas = etas, isLV = TRUE) + + indsXis <- unlist(getIndsLVs(parTable.input, lVs = xis)) + indsEtas <- unlist(getIndsLVs(parTable.input, lVs = etas)) + + opOrder <- c("=~", "~", "~1", "~~", "|", ":=") + varOrder <- unique(c(indsXis, indsEtas, xis, etas)) + + getScore <- function(x, order.by) { + order.by <- unique(c(order.by, x)) # ensure that all of x is in order.by + mapping <- stats::setNames(seq_along(order.by), nm = order.by) + score <- mapping[x] + + if (length(score) != length(x)) { + warning2("Sorting of parameter estimates failed!\n", + immediate. = FALSE) + + return(seq_along(x)) + } + + score + } + + scoreLhs <- getScore(x = parTable$lhs, order.by = varOrder) + scoreOp <- getScore(x = parTable$op, order.by = opOrder) + scoreRhs <- getScore(x = parTable$rhs, order.by = varOrder) + + out <- parTable[order(scoreOp, scoreLhs, scoreRhs), , drop = FALSE] + rownames(out) <- NULL + + out +} From ccc1a2f50b17fee30d643d9aac2e9a89db316807 Mon Sep 17 00:00:00 2001 From: kss Date: Thu, 21 Aug 2025 20:19:42 +0200 Subject: [PATCH 28/51] Better handling of residual variances --- R/create_stan_model.R | 34 ++++++++++++++++++---------------- R/modsem_stan.R | 4 ++-- 2 files changed, 20 insertions(+), 18 deletions(-) diff --git a/R/create_stan_model.R b/R/create_stan_model.R index f85966b1..96f8a6ab 100644 --- a/R/create_stan_model.R +++ b/R/create_stan_model.R @@ -8,7 +8,7 @@ STAN_OPERATOR_LABELS <- c( "__INTERCEPT" = "~1", "__REGRESSION__" = "~", "__COVARIANCE__" = "~~", - "__STDDEV__" = "~~~", + # "__STDDEV__" = "~~~", "__MEASUREMENT__" = "=~", "__XWITH__" = ":" ) @@ -211,8 +211,9 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, parResSDInd <- sprintf("real %s__STDDEV__%s;", ind, ind) tparResSDInd <- NULL } + tparResVarInd <- sprintf( - "real %s__STDDEV__%s = %s__COVARIANCE__%s^2;", + "real %s__COVARIANCE__%s = %s__STDDEV__%s^2;", ind, ind, ind, ind ) @@ -232,7 +233,8 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, tparLines, tparTauInd, tparLambdaInd, - tparResSDInd + tparResSDInd, + tparResVarInd ) modelLines <- c( @@ -357,23 +359,23 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, # Non-centered parameterization # STAN_PAR_XIS <- function(xis) { # k <- length(xis) - # + # # # Identify which xi's are all-ordinal (variance fixed to 1) # fix_idx <- which(vapply(xis, function(lv) is_allOrdinal_lv[lv], logical(1))) # free_idx <- setdiff(seq_len(k), fix_idx) - # + # # # ---------------- parameters ---------------- # parLOmega <- sprintf("cholesky_factor_corr[%d] L_Omega;", k) - # + # # if (length(free_idx) > 0L) { # parSqrtDPhi <- sprintf("vector[%d] sqrtD_Phi_free;", length(free_idx)) # } else { # parSqrtDPhi <- NULL # } - # + # # # Non-centered: matrix of standard normals (N x k) # parZ <- sprintf("matrix[N, %d] z_XI;", k) - # + # # # ---------------- transformed parameters ---------------- # # Rebuild sqrtD_Phi with fixed 1's at fix_idx # tparBuildSqrt <- c( @@ -394,30 +396,30 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, # } else NULL, # "}" # ) - # + # # tparLSigma <- sprintf("matrix[%d, %d] L_Sigma = diag_pre_multiply(sqrtD_Phi, L_Omega);", k, k) - # + # # # Row-vector mean (0 by default). Change if you want non-zero LV means. # tparMuXi <- sprintf("row_vector[%d] MU_XI = rep_row_vector(0, %d);", k, k) - # + # # # Build XI_Matrix in one vectorised statement: # # each row: MU_XI + z_i * L_Sigma' # tparXiMatDecl <- sprintf("matrix[N, %d] XI_Matrix;", k) # tparXiMatFill <- "XI_Matrix = rep_matrix(MU_XI, N) + z_XI * L_Sigma';" - # + # # # Also expose named column vectors (X, Z, ...) for downstream code # xiVectors <- NULL # for (i in seq_along(xis)) { # xiVectors <- c(xiVectors, sprintf("vector[N] %s = col(XI_Matrix, %d);", xis[[i]], i)) # } # tparXiVectors <- collapse(xiVectors) - # + # # # ---------------- model ---------------- # modLOmega <- "L_Omega ~ lkj_corr_cholesky(1);" # # Non-centered prior: standard normals (vectorised via to_vector) # modZ <- "to_vector(z_XI) ~ std_normal();" # # (Optionally add a weak prior for sqrtD_Phi_free if desired.) - # + # # parameters <- collapse(c(parLOmega, parSqrtDPhi, parZ)) # transformed <- collapse(c( # tparBuildSqrt, tparLSigma, tparMuXi, @@ -425,10 +427,10 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, # tparXiVectors # )) # model <- collapse(c(modLOmega, modZ)) - # + # # # Hide internals if you use an exclusion mechanism # EXCLUDE.PARS <<- c(EXCLUDE.PARS, "z_XI", "XI_Matrix", xis) - # + # # list( # parameters = parameters, # transformed_parameters = transformed, diff --git a/R/modsem_stan.R b/R/modsem_stan.R index ab26a6e3..8eeed390 100644 --- a/R/modsem_stan.R +++ b/R/modsem_stan.R @@ -99,8 +99,8 @@ modsem_stan <- function(model.syntax = NULL, noncutRhs <- lr[, 2] # Square residual SDs (variances) for deps (as before) - isSD <- noncutLhs == noncutRhs & noncutOp == "~~~" - if (any(isSD)) samples[, match(noncutRaw[isSD], par_names_raw)] <- samples[, match(noncutRaw[isSD], par_names_raw)]^2 + # isSD <- noncutLhs == noncutRhs & noncutOp == "~~~" + # if (any(isSD)) samples[, match(noncutRaw[isSD], par_names_raw)] <- samples[, match(noncutRaw[isSD], par_names_raw)]^2 # Combine back the label pieces for all params (cutpoints first or interleaved – order does not matter) allLhs <- c(cutLhs, noncutLhs) From d51f5f77071130213e8739bfa33482554d57daa5 Mon Sep 17 00:00:00 2001 From: Kjell S Slupphaug Date: Thu, 21 Aug 2025 21:51:10 +0200 Subject: [PATCH 29/51] Ordered OVs in `modsem_stan` (#71) * Simplify handling of ordered variables in the LMS and QML approaches (#70) * Simplify handling of ordered variables in LMS and QML * Update documentation * Remove unused code from `scale_correction_ordered.R` * Get analytical thresholds for indicators of exogenous LVs * Check `.Platform$OS.type` in `eraseConsoleLines()` * Handle rows with all missing values when `missing="fiml"` * Add handling of ordered variables in `modsem_stan()` * Fix Merge-conflict in DESCRIPTION * Add constraints to ordinal solution * Working ordered MCMC * Add handling of some basic model constraints * Better handling of residual variances --- DESCRIPTION | 2 +- R/create_stan_model.R | 483 ++++++++++++++++++++----- R/modsem_da.R | 23 +- R/modsem_stan.R | 181 +++++++--- R/scale_correction_ordered.R | 580 ++++++++++++------------------ R/utils.R | 13 +- R/utils_da.R | 17 +- man/modsem_da.Rd | 23 +- tests/testthat/test_modsem_stan.R | 332 ++++++++++------- tests/testthat/test_ordered_da.R | 58 ++- 10 files changed, 1057 insertions(+), 655 deletions(-) diff --git a/DESCRIPTION b/DESCRIPTION index 31675fe1..a3064c1f 100644 --- a/DESCRIPTION +++ b/DESCRIPTION @@ -59,7 +59,7 @@ RoxygenNote: 7.3.2 LinkingTo: Rcpp, RcppArmadillo Imports: Rcpp, purrr, stringr, lavaan, rlang, MplusAutomation, nlme, dplyr, mvnfast, stats, fastGHQuad, mvtnorm, ggplot2, parallel, plotly, Deriv, MASS, Amelia, - grDevices, cli, rstan, RhpcBLASctl, RANN + grDevices, cli, RhpcBLASctl Depends: R (>= 4.1.0) URL: https://modsem.org diff --git a/R/create_stan_model.R b/R/create_stan_model.R index 7185b964..96f8a6ab 100644 --- a/R/create_stan_model.R +++ b/R/create_stan_model.R @@ -8,10 +8,11 @@ STAN_OPERATOR_LABELS <- c( "__INTERCEPT" = "~1", "__REGRESSION__" = "~", "__COVARIANCE__" = "~~", + # "__STDDEV__" = "~~~", "__MEASUREMENT__" = "=~", "__XWITH__" = ":" ) - + STAN_SYNTAX_BLOCKS <- " functions { @@ -53,7 +54,32 @@ generated quantities { #' is generated, and not compiled. #' @param force Should compilation of previously compiled models be forced? #' @export -compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { +compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, + ordered = NULL, ordered.link = c("logit", "probit")) { + ordered.link <- tolower(ordered.link) + ordered.link <- match.arg(ordered.link) + + if (is.null(ordered)) + ordered <- character(0) + + if (length(ordered)) { + model.syntax <- paste( + model.syntax, + sprintf("#ORDERED %s", paste0(ordered, collapse = " ")), + sep = "\n" + ) + } + + if (ordered.link == "probit") { + resVarFormulaInd <- "1" + resSDFormulaInd <- "1" + orderedLinkFun <- "ordered_probit" + } else if (ordered.link == "logit") { + resVarFormulaInd <- "(pi()^2)/3" + resSDFormulaInd <- sprintf("sqrt(%s)", resVarFormulaInd) + orderedLinkFun <- "ordered_logistic" + } + parTable <- modsemify(model.syntax) # endogenous variables (etas)model @@ -89,6 +115,14 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { allInds <- c(allIndsXis, allIndsEtas) numAllInds <- length(allInds) + # NEW: normalize and precompute ordinal sets + if (is.null(ordered)) ordered <- character(0) + ord_set <- unique(ordered) + is_allOrdinal_lv <- vapply(lVs, function(lv) { + inds <- indsLVs[[lv]] + length(inds) > 0 && all(inds %in% ord_set) + }, logical(1)) + collapse <- function(..., sep = "\n") { args <- list(...) do.call( @@ -112,6 +146,8 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { } " + getMod <- \(lhs, op, rhs) getModParTable(lhs, op, rhs, parTable = parTable) + DATA <- "int N; // sample size" PARAMETERS <- NULL TRANSFORMED_PARAMETERS <- NULL @@ -119,50 +155,186 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { GENERATED_QUANTITIES <- NULL EXCLUDE.PARS <- NULL - STAN_INDS_LV <- function(lV) { inds <- indsLVs[[lV]] k <- length(inds) - # data {} - dataInds <- sprintf("matrix[N, %d] INDICATORS_%s;", k, lV) - # parameters {} - labTau <- sprintf("%s__INTERCEPT", inds) - labResSD <- sprintf("%s__COVARIANCE__%s", inds, inds) - labLambda <- sprintf("%s__MEASUREMENT__%s", lV, inds[-1]) # first loading is constrained + parLines <- character() + modelLines <- character() + quantLines <- character() + dataInds <- sprintf("matrix[N, %d] INDICATORS_%s;", length(inds), lV) + dataLines <- dataInds + tparLines <- character() + + # Intercepts only for continuous indicators + contInds <- inds[!inds %in% ord_set] + ordInds <- inds[inds %in% ord_set] + + fixContVar <- length(contInds) + length(ordInds) <= 1L + + for (i in seq_along(contInds)) { + ind <- contInds[[i]] + parInterceptInd <- sprintf("real %s__INTERCEPT;", ind) + parLambdaInd <- sprintf("real %s__MEASUREMENT__%s;", ind, ind) - parTau <- sprintf("real %s;", labTau) - parResSD <- sprintf("real %s;", labResSD) - parLambda <- sprintf("real %s;", labLambda) + modTauInd <- getMod(lhs = ind, op = "~1", rhs = "") + modLambdaInd <- getMod(lhs = lV, op = "=~", rhs = ind) + modVarInd <- getMod(lhs = ind, op = "~~", rhs = ind) - # model {} - idx <- seq_along(inds) - modInd <- sprintf("INDICATORS_%s[,%d] ~ normal(%s + %s * %s, %s);", - lV, idx, labTau, c("1", labLambda), lV, labResSD) + fixTauInd <- !is.na(modTauInd) + fixLambdaInd <- !is.na(modLambdaInd) || i == 1L + fixContVarInd <- !is.na(modVarInd) || fixContVar - parameters <- collapse(parTau, parResSD, parLambda) - model <- collapse(modInd) - data <- collapse(dataInds) + if (fixTauInd) { + parTauInd <- NULL + tparTauInd <- sprintf("real %s__INTERCEPT = %s;", ind, modTauInd) + } else { + parTauInd <- sprintf("real %s__INTERCEPT;", ind) + tparTauInd <- NULL + } + + if (fixLambdaInd) { + mod <- if (!is.na(modLambdaInd)) modLambdaInd else "1" + parLambdaInd <- NULL + tparLambdaInd <- sprintf("real %s__MEASUREMENT__%s = %s;", lV, ind, mod) + } else { + parLambdaInd <- sprintf("real %s__MEASUREMENT__%s;", lV, ind) + tparLambdaInd <- NULL + } + + if (fixContVarInd) { + mod <- if (!is.na(modVarInd)) modVarInd else "0" + parResSDInd <- NULL + tparResSDInd <- sprintf("real %s__STDDEV__%s = sqrt(%s);", ind, ind, mod) + } else { + parResSDInd <- sprintf("real %s__STDDEV__%s;", ind, ind) + tparResSDInd <- NULL + } + + tparResVarInd <- sprintf( + "real %s__COVARIANCE__%s = %s__STDDEV__%s^2;", + ind, ind, ind, ind + ) + + modMeasrInd <- sprintf( + "INDICATORS_%s[,%d] ~ normal(%s__INTERCEPT + %s__MEASUREMENT__%s * %s, %s__STDDEV__%s);", + lV, i, ind, lV, ind, lV, ind, ind + ) + + parLines <- c( + parLines, + parTauInd, + parLambdaInd, + parResSDInd + ) - list(parameters = parameters, model = model, data = data) + tparLines <- c( + tparLines, + tparTauInd, + tparLambdaInd, + tparResSDInd, + tparResVarInd + ) + + modelLines <- c( + modelLines, + modMeasrInd + ) + } + + for (j in seq_along(ordInds)) { + ind <- ordInds[[j]] + + if (TRUE) parLambdaInd <- sprintf("real %s__UMEASUREMENT__%s;", lV, ind) + else parLambdaInd <- sprintf("real %s__UMEASUREMENT__%s;", lV, ind) + + dataK_Ind <- sprintf("int K_%s;", ind) + dataInd <- sprintf("int ORD_INDICATOR_%s[N];", ind, ind) + parCutInd <- sprintf("ordered[K_%s - 1] %s__UCUTPOINTS;", ind, ind) + responseInd <- sprintf("vector[N] LV_RESPONSE_%s_ = %s__UMEASUREMENT__%s * %s;", ind, lV, ind, lV) + likelihoodInd <- sprintf("ORD_INDICATOR_%s ~ %s(LV_RESPONSE_%s_, %s__UCUTPOINTS);", + ind, orderedLinkFun, ind, ind) + modMeasrInd <- sprintf("{\n %s\n %s\n}", responseInd, likelihoodInd) + + quantTotalVarInd <- sprintf( + "real TOTAL_VAR_%s_ = (%s__UMEASUREMENT__%s ^ 2) * cov_vector(%s, %s) + %s;", + ind, lV, ind, lV, lV, resVarFormulaInd + ) + + quantStdCutPoints <- sprintf( + "ordered[K_%s - 1] %s__CUTPOINTS = %s__UCUTPOINTS / sqrt(TOTAL_VAR_%s_);", + ind, ind, ind, ind + ) + + quantLambdaInd <- sprintf( + "real %s__MEASUREMENT__%s = %s__UMEASUREMENT__%s / sqrt(TOTAL_VAR_%s_);", + lV, ind, lV, ind, ind + ) + + quantResVarInd <- sprintf( + "real %s__COVARIANCE__%s = %s / TOTAL_VAR_%s_;", + ind, ind, resVarFormulaInd, ind + ) + + dataLines <- c(dataLines, dataK_Ind, dataInd) + parLines <- c(parLines, parLambdaInd, parCutInd) + quantLines <- c(quantLines, quantTotalVarInd, quantStdCutPoints, + quantResVarInd, quantLambdaInd) + modelLines <- c(modelLines, modMeasrInd) + } + + list( + parameters = collapse(parLines), + model = collapse(modelLines), + data = collapse(dataLines), + transformed_parameters = collapse(tparLines), + generated_quantities = collapse(quantLines) + ) } + # Centered parameterization STAN_PAR_XIS <- function(xis) { k <- length(xis) - # parameters {} + # Identify which xi's are all-ordinal + fix_idx <- which(vapply(xis, function(lv) is_allOrdinal_lv[lv], logical(1))) + free_idx <- setdiff(seq_len(k), fix_idx) + parLOmega <- sprintf("cholesky_factor_corr[%d] L_Omega;", k) - parSqrtDPhi <- sprintf("vector[%d] sqrtD_Phi;", k) - # parZXiMat <- sprintf("matrix[N, %d] Z_XI_Matrix;", k) + + if (length(free_idx) > 0L) { + parSqrtDPhi <- sprintf("vector[%d] sqrtD_Phi_free;", length(free_idx)) + } else { + parSqrtDPhi <- NULL + } + parXiMat <- sprintf("matrix[N, %d] XI_Matrix;", k) - # transformed parameters {} + # transformed parameters: rebuild sqrtD_Phi with fixed 1's at fix_idx + tparBuildSqrt <- c( + sprintf("vector[%d] sqrtD_Phi;", k), + " {", + if (length(free_idx) > 0L) " int c = 1;" else NULL, + if (length(seq_len(k)) > 0L) { + paste0( + vapply(seq_len(k), function(i) { + if (i %in% fix_idx) { + sprintf(" sqrtD_Phi[%d] = 1;", i) + } else { + sprintf(" sqrtD_Phi[%d] = sqrtD_Phi_free[c]; c += 1;", i) + } + }, character(1L)), + collapse = "\n" + ) + } else NULL, + " }" + ) + tparLSigma <- sprintf("matrix[%d, %d] L_Sigma = diag_pre_multiply(sqrtD_Phi, L_Omega);", k, k) tparMuXi <- sprintf("row_vector[%d] MU_XI = rep_row_vector(0, %d);", k, k) tparXiArr <- sprintf("array[N] vector[%d] XI_Array;", k) tparXiArrFill <- "for (i in 1:N) {XI_Array[i] = (XI_Matrix[i, ])';}" - tparXi <- sprintf("matrix[N, %d] XI_Matrix = Z_XI_Matrix * L_Sigma';", k) xiVectors <- NULL for (i in seq_along(xis)) { @@ -170,51 +342,142 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { xiVector <- sprintf("vector[N] %s = col(XI_Matrix, %d);", name, i) xiVectors <- c(xiVectors, xiVector) } - tparXiVectors <- collapse(xiVectors) - # model {} - modLOmega <- sprintf("L_Omega ~ lkj_corr_cholesky(1);") - # modZXiMat <- "to_vector(Z_XI_Matrix) ~ normal(0, 1);" - # modXiMat <- "for (n in 1:N) {XI_Matrix[n,] ~ multi_normal_cholesky(MU_XI, L_Sigma);}" - modXiArr <- "XI_Array ~ multi_normal_cholesky(MU_XI, L_Sigma);" + modLOmega <- "L_Omega ~ lkj_corr_cholesky(1);" + modXiArr <- "XI_Array ~ multi_normal_cholesky(MU_XI, L_Sigma);" - parameters <- collapse(parLOmega, parSqrtDPhi, parXiMat) - tparameters <- collapse(tparLSigma, tparXiVectors, tparMuXi, tparXiArr, tparXiArrFill) - model <- collapse(modLOmega, modXiArr) + parameters <- collapse(c(parLOmega, parSqrtDPhi, parXiMat)) + tparameters <- collapse(c(tparBuildSqrt, tparLSigma, tparXiVectors, tparMuXi, tparXiArr, tparXiArrFill)) + model <- collapse(c(modLOmega, modXiArr)) EXCLUDE.PARS <<- c(EXCLUDE.PARS, "XI_Array", "XI_Matrix", xis) - list(parameters = parameters, transformed_parameters = tparameters, - model = model) + list(parameters = parameters, transformed_parameters = tparameters, model = model) } - + # Non-centered parameterization + # STAN_PAR_XIS <- function(xis) { + # k <- length(xis) + # + # # Identify which xi's are all-ordinal (variance fixed to 1) + # fix_idx <- which(vapply(xis, function(lv) is_allOrdinal_lv[lv], logical(1))) + # free_idx <- setdiff(seq_len(k), fix_idx) + # + # # ---------------- parameters ---------------- + # parLOmega <- sprintf("cholesky_factor_corr[%d] L_Omega;", k) + # + # if (length(free_idx) > 0L) { + # parSqrtDPhi <- sprintf("vector[%d] sqrtD_Phi_free;", length(free_idx)) + # } else { + # parSqrtDPhi <- NULL + # } + # + # # Non-centered: matrix of standard normals (N x k) + # parZ <- sprintf("matrix[N, %d] z_XI;", k) + # + # # ---------------- transformed parameters ---------------- + # # Rebuild sqrtD_Phi with fixed 1's at fix_idx + # tparBuildSqrt <- c( + # sprintf("vector[%d] sqrtD_Phi;", k), + # "{", + # if (length(free_idx) > 0L) " int c = 1;" else NULL, + # if (k > 0L) { + # paste0( + # vapply(seq_len(k), function(i) { + # if (i %in% fix_idx) { + # sprintf(" sqrtD_Phi[%d] = 1;", i) + # } else { + # sprintf(" sqrtD_Phi[%d] = sqrtD_Phi_free[c]; c += 1;", i) + # } + # }, character(1L)), + # collapse = "\n" + # ) + # } else NULL, + # "}" + # ) + # + # tparLSigma <- sprintf("matrix[%d, %d] L_Sigma = diag_pre_multiply(sqrtD_Phi, L_Omega);", k, k) + # + # # Row-vector mean (0 by default). Change if you want non-zero LV means. + # tparMuXi <- sprintf("row_vector[%d] MU_XI = rep_row_vector(0, %d);", k, k) + # + # # Build XI_Matrix in one vectorised statement: + # # each row: MU_XI + z_i * L_Sigma' + # tparXiMatDecl <- sprintf("matrix[N, %d] XI_Matrix;", k) + # tparXiMatFill <- "XI_Matrix = rep_matrix(MU_XI, N) + z_XI * L_Sigma';" + # + # # Also expose named column vectors (X, Z, ...) for downstream code + # xiVectors <- NULL + # for (i in seq_along(xis)) { + # xiVectors <- c(xiVectors, sprintf("vector[N] %s = col(XI_Matrix, %d);", xis[[i]], i)) + # } + # tparXiVectors <- collapse(xiVectors) + # + # # ---------------- model ---------------- + # modLOmega <- "L_Omega ~ lkj_corr_cholesky(1);" + # # Non-centered prior: standard normals (vectorised via to_vector) + # modZ <- "to_vector(z_XI) ~ std_normal();" + # # (Optionally add a weak prior for sqrtD_Phi_free if desired.) + # + # parameters <- collapse(c(parLOmega, parSqrtDPhi, parZ)) + # transformed <- collapse(c( + # tparBuildSqrt, tparLSigma, tparMuXi, + # tparXiMatDecl, tparXiMatFill, + # tparXiVectors + # )) + # model <- collapse(c(modLOmega, modZ)) + # + # # Hide internals if you use an exclusion mechanism + # EXCLUDE.PARS <<- c(EXCLUDE.PARS, "z_XI", "XI_Matrix", xis) + # + # list( + # parameters = parameters, + # transformed_parameters = transformed, + # model = model + # ) + # } + STAN_PAR_ETA <- function(eta) { indeps <- unique(parTable[parTable$lhs == eta & parTable$op == "~", "rhs"]) - indeps <- stringr::str_replace_all(indeps, pattern = ":", - replacement = "__XWITH__") + indeps <- stringr::str_replace_all(indeps, ":", "__XWITH__") - # parameters {} - labBeta <- sprintf("%s__REGRESSION__%s", eta, indeps) - labSD <- sprintf("%s__COVARIANCE__%s", eta, eta) + labBeta <- sprintf("%s__REGRESSION__%s", eta, indeps) + allOrd <- is_allOrdinal_lv[eta] - parBeta <- sprintf("real %s;", labBeta) + parBeta <- if (length(labBeta)) sprintf("real %s;", labBeta) else NULL parValues <- sprintf("vector[N] %s;", eta) - parSD <- sprintf("real %s;", labSD) - # model {} - projEta <- collapse(sprintf("%s * %s", labBeta, indeps), sep = " + ") - modEta <- sprintf("%s ~ normal(%s, %s);", eta, projEta, labSD) + tparLines <- NULL + + if (allOrd) { + # FIXED disturbance SD = 1 + parSD <- NULL + projEta <- if (length(indeps)) collapse(sprintf("%s * %s", labBeta, indeps), sep = " + ") else "0" + modEta <- sprintf("%s ~ normal(%s, 1);", eta, projEta) - parameters <- collapse(parValues, parSD, parBeta) + # Expose the fixed residual variance under the usual name + tparLines <- sprintf("real %s__COVARIANCE__%s = 1;", eta, eta) + } else { + # Free disturbance SD (parameter remains as before) + labSD <- sprintf("%s__STDDEV__%s", eta, eta) + parSD <- sprintf("real %s;", labSD) + tparLines <- sprintf("real %s__COVARIANCE__%s = %s^2;", eta, eta, labSD) + projEta <- if (length(indeps)) collapse(sprintf("%s * %s", labBeta, indeps), sep = " + ") else "0" + modEta <- sprintf("%s ~ normal(%s, %s);", eta, projEta, labSD) + } + + parameters <- collapse(c(parValues, parSD, parBeta)) EXCLUDE.PARS <<- c(EXCLUDE.PARS, eta) - list(parameters = parameters, model = modEta) + list( + parameters = parameters, + model = modEta, + transformed_parameters = collapse(tparLines) + ) } - STAN_COMPUTED_PRODUCTS <- function(intTerms) { transformed_parameters <- NULL @@ -253,7 +516,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { list(generated_quantities = collapse(generated_quantities)) } - + STAN_COMPUTED_VARIANCES <- function(vars) { vars <- stringr::str_replace_all(vars, pattern = ":", replacement = "__XWITH__") @@ -288,7 +551,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { parameters = { PARAMETERS <<- collapse(PARAMETERS, block) }, - + transformed_parameters = { TRANSFORMED_PARAMETERS <<- collapse(TRANSFORMED_PARAMETERS, block) }, @@ -311,10 +574,10 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { add2block(STAN_COMPUTED_PRODUCTS, intTerms = intTerms) add2block(STAN_COMPUTED_COVARIANCES, vars = c(xis, intTerms)) add2block(STAN_COMPUTED_VARIANCES, vars = c(xis, intTerms)) - + stanModelSyntax <- sprintf(STAN_SYNTAX_BLOCKS, - FUNCTIONS, DATA, PARAMETERS, - TRANSFORMED_PARAMETERS, + FUNCTIONS, DATA, PARAMETERS, + TRANSFORMED_PARAMETERS, MODEL, GENERATED_QUANTITIES) SYNTAXES <- STAN_LAVAAN_MODELS$syntaxes @@ -324,7 +587,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { if (compile && any(match) && !force) { message("Reusing compiled Stan model...") stanModel <- last(COMPILED[match]) # if a duplicate somehow appears, pick last/newest match - + } else if (compile) { message("Compiling Stan model...") @@ -334,7 +597,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { COMPILED <- c(COMPILED, stanModel) STAN_LAVAAN_MODELS$syntaxes <- SYNTAXES - STAN_LAVAAN_MODELS$compiled <- COMPILED + STAN_LAVAAN_MODELS$compiled <- COMPILED } else stanModel <- NULL @@ -347,26 +610,65 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE) { indsLVs = indsLVs, allIndsXis = allIndsXis, allIndsEtas = allIndsEtas, - exclude.pars = unique(EXCLUDE.PARS))) + exclude.pars = unique(EXCLUDE.PARS), + parTable = parTable)) } -getStanData <- function(compiled_model, data, missing = "listwise") { +getStanData <- function(compiled_model, data, missing = "listwise", ordered = NULL) { + if (is.null(ordered)) ordered <- character(0) + lVs <- compiled_model$info$lVs indsLVs <- compiled_model$info$indsLVs allIndsXis <- compiled_model$info$allIndsXis allIndsEtas <- compiled_model$info$allIndsEtas - # clean data + # 1) Pre-coerce requested ordinal columns in the raw data + # (safe even if columns are already numeric; ensures stable ordering) + for (col in ordered) { + if (!col %in% names(data)) { + stop("`ordered` indicator '", col, "' not found in data.") + } + data[[col]] <- as.integer(as.ordered(data[[col]])) + } + + # 2) Run your existing missing-data preparation (listwise or otherwise) INDICATORS <- prepDataModsemDA(data, allIndsXis, allIndsEtas, missing = missing)$data.full - stan_data <- list(N = nrow(data)) + stan_data <- list(N = nrow(INDICATORS)) + # 3) Emit the latent-specific indicator matrices (unchanged) for (lV in lVs) { name <- sprintf("INDICATORS_%s", lV) inds <- indsLVs[[lV]] - stan_data[[name]] = INDICATORS[, inds, drop = FALSE] + if (!all(inds %in% colnames(INDICATORS))) { + missing_cols <- paste(setdiff(inds, colnames(INDICATORS)), collapse = ", ") + stop("Indicators missing from prepared data for latent '", lV, "': ", missing_cols) + } + stan_data[[name]] <- as.matrix(INDICATORS[, inds, drop = FALSE]) + } + + # 4) For each ordered indicator, add integer vector 1..K and K + remap_to_consecutive <- function(x) { + # x should be atomic, no NAs expected after listwise handling + u <- sort(unique(x)) + # Create a 1..K mapping even if labels were not consecutive (e.g., 0/2/5) + map <- setNames(seq_along(u), as.character(u)) + as.integer(unname(map[as.character(x)])) + } + + for (ind in ordered) { + if (!ind %in% colnames(INDICATORS)) { + stop("`ordered` indicator '", ind, "' not found after preprocessing.") + } + x_raw <- INDICATORS[, ind] + # Ensure integer 1..K coding regardless of original labels + x_int <- remap_to_consecutive(x_raw) + K <- as.integer(max(x_int)) + + stan_data[[sprintf("ORD_INDICATOR_%s", ind)]] <- x_int + stan_data[[sprintf("K_%s", ind)]] <- K } stan_data @@ -400,7 +702,7 @@ functions { } } - return product; + return product; } } @@ -425,7 +727,7 @@ data { int N_FREE_LAMBDA; // sum(abs(LAMBDA)) int N_FREE_GAMMA; // sum(abs(GAMMA)) - int N_FREE_OMEGA; + int N_FREE_OMEGA; int N_FREE_DIAG_THETA; // sum(abs(diag(THETA))) int N_FREE_LOWER_THETA; // sum(abs(THETA[is.lower(THETA)])) @@ -447,7 +749,7 @@ parameters { vector[N_FREE_TAU] tau; vector[N_FREE_DIAG_THETA] theta_d; vector[N_FREE_LOWER_THETA] theta_l; - + // Structural model vector[N_FREE_GAMMA] gamma; vector[N_FREE_ALPHA] alpha; @@ -473,7 +775,7 @@ transformed parameters { matrix[K, K] Theta; // Structure of indicator covariances vector[K] Tau; // Structure of indicator intercepts vector[N_LVS] Alpha; // Structure of LV intercepts - + // Fill Matrices Lambda = rep_matrix(0, K, N_LVS); Gamma = rep_matrix(0, N_ETAS, N_LVS); @@ -514,7 +816,7 @@ transformed parameters { } } } - + // Fill OMEGA k = 1; for (i in 1:N_ETAS) { @@ -538,14 +840,14 @@ transformed parameters { k = k + 1; } } - + // Fill Off-Diagonal Theta k = 1; for (i in 1:K) { for (j in 1:(i-1)) { real fill = THETA[i, j]; - + if (fill) { Theta[i, j] = theta_l[k]; Theta[j, i] = theta_l[k]; @@ -564,14 +866,14 @@ transformed parameters { k = k + 1; } } - + // Fill Off-Diagonal Psi k = 1; for (i in 1:N_LVS) { for (j in 1:(i-1)) { real fill = PSI[i, j]; - + if (fill) { Psi[i, j] = psi_l[k]; Psi[j, i] = psi_l[k]; @@ -589,7 +891,7 @@ transformed parameters { k = k + 1; } } - + // Fill Tau k = 1; for (i in 1:K) { @@ -618,10 +920,10 @@ transformed parameters { ETA[, idx] = ETA[, idx] + Gamma[i, j] * ETA[, j]; } } - + for (j in 1:N_INT) { if (OMEGA[i, j]) { - ETA[, idx] = + ETA[, idx] = ETA[, idx] + Omega[i, j] * getIthProduct(j, N_LVS, N, PRODUCTS, ETA); } } @@ -649,10 +951,10 @@ transformed parameters { // print(\"head(ETA)\"); // print(ETA[1:5, ]); - // + // // print(\"head(XI)\"); // print(XI[1:5, ]); - // + // // print(\"head(X)\"); // print(X[1:5, ]); @@ -679,7 +981,7 @@ model { // No priors (yet) marginalXI ~ multi_normal(marginalMeanXI, Psi); - marginalY ~ multi_normal(marginalMeanY, Theta); + marginalY ~ multi_normal(marginalMeanY, Theta); } " @@ -760,7 +1062,7 @@ specifyModelSTAN <- function(syntax = NULL, listOmega <- constructGamma(etas, intTerms, parTable = parTable) OMEGA <- listOmega$numeric OMEGA[is.na(OMEGA)] <- 1 - + listPsi <- constructPsi(etas, parTable = parTable, orthogonal.y = orthogonal.y) psi <- listPsi$numeric @@ -786,7 +1088,7 @@ specifyModelSTAN <- function(syntax = NULL, N_ETAS = numEtas, N_LVS = numLVs, N_INT = numInts, - + LAMBDA = LAMBDA, GAMMA = GAMMA, OMEGA = OMEGA, @@ -815,17 +1117,34 @@ specifyModelSTAN <- function(syntax = NULL, ) } + +getModParTable <- function(lhs, op, rhs, parTable, .default = NA) { + parTable[parTable$mod == "", "mod"] <- .default + + if (op == "~~") { + out <- parTable[((parTable$lhs == lhs & parTable$rhs == rhs) | + (parTable$lhs == rhs & parTable$rhs == lhs)) & + parTable$op == op, "mod"] + } else { + out <- parTable[parTable$lhs == lhs & parTable$rhs == rhs & + parTable$op == op, "mod"] + } + + if (!length(out)) .default else out +} + + ## Example # model.syntax <- ' # X =~ x1 + x2 + x3 # Z =~ z1 + z2 + z3 # Y =~ y1 + y2 + y3 -# +# # Y ~ X + Z + X:Z # ' # stan_data <- specifyModelSTAN(model.syntax, data = oneInt) # stan_model <- stan_model(model_code = STAN_MODEL_GENERAL) -# +# # fit <- sampling( # object = stan_model, # data = stan_data, @@ -833,7 +1152,7 @@ specifyModelSTAN <- function(syntax = NULL, # iter = 2000, # warmup = 1000 # ) -# +# # summary(fit, c("gamma")) # summary(fit, c("omega")) # summary(fit, c("Psi")) diff --git a/R/modsem_da.R b/R/modsem_da.R index 4f8e8f6d..e4d475fd 100644 --- a/R/modsem_da.R +++ b/R/modsem_da.R @@ -141,18 +141,17 @@ #' #' @param em.control a list of control parameters for the EM algorithm. See \code{\link{default_settings_da}} for defaults. #' -#' @param ordered Variables to be treated as ordered. The distributions of the -#' continuous response variables are estimated using a combination of Markow-Chain -#' Monte-Carlo sampling, and multiple imputation. It should yield more consistent, -#' and less biased results, compared to when ordinal variables are treated as continuous. +#' @param ordered Variables to be treated as ordered. The scale of the ordinal variables +#' is scaled to correct for unequal intervals. The underlying continous distributions +#' are estimated using a Monte-Carlo bootstrap approach. The ordinal values are replaced with +#' the expected values for each interval. Using \code{ordered=TRUE} should yield estimates +#' which are more robust to unequal intervals in ordinal variables. I.e., the estimates +#' should be more consistent, and less biased. #' -#' @param ordered.iter Number of sampling iterations used to sample the underlying continuous distribution of the -#' ordinal variables. The default is set to \code{75}, but should likely be -#' increased to yield more consistent estimates. +#' @param ordered.iter Maximum number of sampling iterations used to sample the underlying continuous distribution of the +#' ordinal variables. The default is set to \code{100}. #' -#' @param ordered.warmup Number of sampling iterations in the warmup phase. These are discarded when estimating -#' the final model parameters. The default is set to \code{ordered.iter / 3L}. -#' In some cases it might be suitable to use a higher ratio (e.g., \code{ordered.iter / 2L}). +#' @param ordered.warmup Number of sampling iterations in the warmup phase. #' #' @param cluster Clusters used to compute standard errors robust to non-indepence of observations. Must be paired with #' \code{robust.se = TRUE}. @@ -306,8 +305,8 @@ modsem_da <- function(model.syntax = NULL, algorithm = NULL, em.control = NULL, ordered = NULL, - ordered.iter = 75L, - ordered.warmup = floor(ordered.iter / 3L), + ordered.iter = 100L, + ordered.warmup = 25L, cluster = NULL, cr1s = FALSE, rcs = FALSE, diff --git a/R/modsem_stan.R b/R/modsem_stan.R index 6e8cbf69..8eeed390 100644 --- a/R/modsem_stan.R +++ b/R/modsem_stan.R @@ -4,15 +4,15 @@ #' #' @param data A dataframe with observed variables used in the model. #' -#' @param compiled_model Compiled model from \code{\link{compile_stan_model}}. Saves time if the +#' @param compiled_model Compiled model from \code{\link{compile_stan_model}}. Saves time if the #' same \code{model.syntax} has to be reused multiple times. #' #' @param chains A positive integer specifying the number of Markov chains. #' The default is 4. -#' +#' #' @param iter A positive integer specifying the number of iterations for #' each chain (including warmup). The default is 2000. -#' +#' #' @param warmup A positive integer specifying the number of warmup (aka #' burnin) iterations per chain. If step-size adaptation is on #' (which it is by default), this also controls the number of @@ -20,21 +20,25 @@ #' warmup samples should not be used for inference). The number #' of warmup iterations should be smaller than \code{iter} and the #' default is \code{iter/2}. -#' +#' #' @param ... Arguments passed to \code{stan::sampling}. #' @export modsem_stan <- function(model.syntax = NULL, data = NULL, compiled_model = NULL, - chains = 2, - iter = 2000, - warmup = iter / 2, + chains = 2, + iter = 2000, + warmup = iter / 2, + ordered = NULL, ...) { if (is.null(compiled_model)) { - stopif(is.null(model.syntax), - "One of `model.syntax` or `compiled_model` has to be provided!") - - compiled_model <- compile_stan_model(model.syntax) + stopif(is.null(model.syntax), + "One of `model.syntax` or `compiled_model` has to be provided!") + # pass ordered through so codegen knows which indicators are ordinal + compiled_model <- compile_stan_model(model.syntax, ordered = ordered) + } else { + # normalize ordered for downstream data prep even when compiled_model is provided + if (is.null(ordered)) ordered <- character(0) } lVs <- compiled_model$info$lVs @@ -43,7 +47,8 @@ modsem_stan <- function(model.syntax = NULL, etas <- compiled_model$info$etas deps <- c(inds, etas) - stan_data <- getStanData(compiled_model = compiled_model, data = data) + # IMPORTANT: pass ordered to the data builder so it supplies INDICATORS_ and K_ + stan_data <- getStanData(compiled_model = compiled_model, data = data, ordered = ordered) message("Sampling Stan model...") fit <- rstan::sampling(object = compiled_model$stan_model, @@ -53,62 +58,112 @@ modsem_stan <- function(model.syntax = NULL, warmup = warmup, pars = compiled_model$info$exclude.pars, include = FALSE, + # adapt_delta = 0.95, + # max_treedepth = 12, ...) + diagnostics <- rstan::summary(fit)$summary samples <- as.matrix(fit) - samples <- samples[, !grepl("\\[[0-9]+\\]", colnames(samples))] - diagnostics <- diagnostics[colnames(samples), , drop = FALSE] + # DO NOT drop indexed params globally; we need cutpoints like x2__CUTPOINTS[1]. + # Vectors of length N (e.g., latent time-series) are already excluded via `exclude.pars`. + # Map Stan parameter labels -> lavaan-like labels cleanPars <- \(pars) stringr::str_replace_all(pars, STAN_OPERATOR_LABELS) - pars <- cleanPars(colnames(samples)) - colnames(samples) <- pars - OP <- "~~|=~|~1|~" - op <- stringr::str_extract(pars, pattern = OP) - op[is.na(op)] <- ":=" - lr <- stringr::str_split_fixed(pars, pattern = OP, n = 2) + # We will build lhs/op/rhs in two passes: + # (A) cutpoints: __CUTPOINTS[i] -> lhs=, op="|", rhs=paste0("t", i) + # (B) everything else: use existing operator mapping + + par_names_raw <- colnames(samples) + + is_cut <- grepl("__CUTPOINTS\\[[0-9]+\\]$", par_names_raw) + cutRaw <- par_names_raw[is_cut] + + # Extract lhs (indicator) and threshold index + cutLhs <- sub("__CUTPOINTS\\[[0-9]+\\]$", "", cutRaw) + cut_k <- as.integer(sub("^.*__CUTPOINTS\\[([0-9]+)\\]$", "\\1", cutRaw)) + cutRhs <- if (length(cut_k)) paste0("t", cut_k) else NULL + cutOp <- rep("|", length(cutRaw)) + + # Non-cutpoint parameters + noncutRaw <- par_names_raw[!is_cut] + noncutClean <- cleanPars(noncutRaw) - lhs <- lr[, 1] - rhs <- lr[, 2] + OP <- "~~~|~~|=~|~1|~" # lavaan operators we already produce + noncutOp <- stringr::str_extract(noncutClean, pattern = OP) + noncutOp[is.na(noncutOp)] <- ":=" - isSD <- lhs == rhs & op == "~~" & (lhs %in% deps | rhs %in% deps) - samples[, isSD] <- samples[, isSD]^2 + lr <- stringr::str_split_fixed(noncutClean, pattern = OP, n = 2) + noncutLhs <- lr[, 1] + noncutRhs <- lr[, 2] + # Square residual SDs (variances) for deps (as before) + # isSD <- noncutLhs == noncutRhs & noncutOp == "~~~" + # if (any(isSD)) samples[, match(noncutRaw[isSD], par_names_raw)] <- samples[, match(noncutRaw[isSD], par_names_raw)]^2 + + # Combine back the label pieces for all params (cutpoints first or interleaved – order does not matter) + allLhs <- c(cutLhs, noncutLhs) + allOp <- c(cutOp, noncutOp) + allRhs <- c(cutRhs, noncutRhs) + allOp[allOp == "~~~"] <- "~~" + + # Reorder samples consistently with the combined vectors + samples <- samples[, c(cutRaw, noncutRaw), drop = FALSE] + + # Remove := + keep <- allOp != ":=" + lhs <- allLhs[keep] + op <- allOp[keep] + rhs <- allRhs[keep] + + samples <- samples[, keep, drop = FALSE] + namesSamplesRaw <- colnames(samples) + colnames(samples) <- paste0(lhs, op, rhs) + + # Summaries + diagnostics <- diagnostics[namesSamplesRaw, , drop = FALSE] coefs <- apply(samples, MARGIN = 2, FUN = mean) vcov <- cov(samples) rhat <- diagnostics[, "Rhat"] neff <- diagnostics[, "n_eff"] + # Build parTable (lavaan-like), including thresholds + pars_clean_for_table <- cleanPars(colnames(samples)) # human-friendly labels where relevant + se <- sqrt(diag(vcov)) + + # handle NaNs and zero SEs + se.zero <- se <= .Machine$double.eps + se [se.zero] <- NA + rhat[se.zero | is.nan(rhat)] <- NA + neff[se.zero | is.nan(neff)] <- NA + parTable <- data.frame( - lhs = lhs, op = op, rhs = rhs, est = coefs, std.error = se, - z.value = coefs / se, p.value = 2 * stats::pnorm(-abs(coefs / se)), - ci.lower = coefs - CI_WIDTH * se, # We could replace these with the - ci.upper = coefs + CI_WIDTH * se, # observed 5% and 95% quantiles - R.hat = rhat, n.eff = neff + lhs = lhs, op = op, rhs = rhs, + est = coefs, std.error = se, + z.value = coefs / se, + p.value = 2 * stats::pnorm(-abs(coefs / se)), + ci.lower = coefs - CI_WIDTH * se, + ci.upper = coefs + CI_WIDTH * se, + R.hat = rhat, n.eff = neff, + row.names = NULL ) - parTable <- rbind( - data.frame(lhs = lVs, op = "=~", - rhs = sapply(lVs, FUN = \(lV) indsLVs[[lV]][[1L]]), - est = 1, std.error = NA, z.value = NA, p.value = NA, - ci.lower = NA, ci.upper = NA, R.hat = NA, n.eff = NA), - parTable - ) - parTable <- parTable[order(parTable$op), ] - rownames(parTable) <- NULL - parTable <- modsemParTable(parTable[parTable$op != ":=", , drop = FALSE]) + parTable <- tryCatch(sortParTableStan(parTable, compiled_model$info$parTable), + error = \(e) parTable) + parTable <- modsemParTable(parTable) - out <- list(fit = fit, - parTable = parTable, - coefs = coefs, - vcov = vcov, - samples = samples) + out <- list( + fit = fit, + parTable = parTable, + coefs = coefs, + vcov = vcov, + samples = samples + ) class(out) <- "modsem_stan" - out } @@ -163,3 +218,39 @@ vcov.modsem_stan <- function(object, ...) { coef.modsem_stan <- function(object, ...) { object$coefs } + + +sortParTableStan <- function(parTable, parTable.input) { + etas <- getSortedEtas(parTable.input, isLV = TRUE) + xis <- getXis(parTable.input, checkAny = FALSE, etas = etas, isLV = TRUE) + + indsXis <- unlist(getIndsLVs(parTable.input, lVs = xis)) + indsEtas <- unlist(getIndsLVs(parTable.input, lVs = etas)) + + opOrder <- c("=~", "~", "~1", "~~", "|", ":=") + varOrder <- unique(c(indsXis, indsEtas, xis, etas)) + + getScore <- function(x, order.by) { + order.by <- unique(c(order.by, x)) # ensure that all of x is in order.by + mapping <- stats::setNames(seq_along(order.by), nm = order.by) + score <- mapping[x] + + if (length(score) != length(x)) { + warning2("Sorting of parameter estimates failed!\n", + immediate. = FALSE) + + return(seq_along(x)) + } + + score + } + + scoreLhs <- getScore(x = parTable$lhs, order.by = varOrder) + scoreOp <- getScore(x = parTable$op, order.by = opOrder) + scoreRhs <- getScore(x = parTable$rhs, order.by = varOrder) + + out <- parTable[order(scoreOp, scoreLhs, scoreRhs), , drop = FALSE] + rownames(out) <- NULL + + out +} diff --git a/R/scale_correction_ordered.R b/R/scale_correction_ordered.R index c50598fc..3dde8536 100644 --- a/R/scale_correction_ordered.R +++ b/R/scale_correction_ordered.R @@ -5,29 +5,30 @@ modsemOrderedScaleCorrection <- function(model.syntax, calc.se = TRUE, iter = 75L, warmup = 25L, - N.start = max(NROW(data), 1e4), # 10,000 initally - N.max = max(NROW(data), 1e6), # 1,000,000 - target.coverage = 0.7, - lambda = 1, + N = max(NROW(data), 1e5), # 10,000 initally se = "simple", - ordered.standardize.data = TRUE, + diff.theta.tol = 1e-10, ordered.mean.observed = FALSE, # Capture args verbose = interactive(), optimize = TRUE, start = NULL, - standardize.data = NULL, - mean.observed = NULL, + mean.observed = NULL, + scaling.factor.int = NULL, ...) { - message("Sampling values for ordered variables, ", - "this is an experimental feature!\n", - "Consider increasing the `ordered.iter` and `ordered.warmup` arguments!") + message("Correcting scale of ordered variables...\n", + "This is an experimental feature, ", + "see `help(modsem_da)` for more information!") standardize <- \(x) (x - mean(x, na.rm = TRUE)) / stats::sd(x, na.rm = TRUE) if (is.null(verbose)) verbose <- TRUE # default + parTable.in <- modsemify(model.syntax) + xis <- getXis(parTable.in, checkAny = FALSE) + inds.xis <- unique(unlist(getIndsLVs(parTable.in, lVs = xis))) + cols <- colnames(data) cols.ordered <- cols[cols %in% ordered | sapply(data, is.ordered)] cols.cont <- cols[!(cols %in% cols.ordered) & vapply(data, is.numeric, TRUE)] @@ -38,28 +39,15 @@ modsemOrderedScaleCorrection <- function(model.syntax, data.y <- data data.y[cols.ordered] <- lapply(data.y[cols.ordered], FUN = as.integer) - thresholds <- stats::setNames(lapply(cols.ordered, FUN = \(x) 0), - nm = cols.ordered) - stopif(iter <= warmup, "`ordered.iter` must be larger than `ordered.warmup`!") iter.keep <- max(1L, floor(iter - warmup)) - COEF.ALL <- vector("list", length = iter.keep) - COEF.FREE <- vector("list", length = iter.keep) - VCOV.ALL <- vector("list", length = iter.keep) - VCOV.FREE <- vector("list", length = iter.keep) - fits <- vector("list", length = iter.keep) - imputed <- vector("list", length = iter.keep) data_i <- data data_i[cols.ordered] <- lapply(data_i[cols.ordered], FUN = \(x) standardize(as.integer(x))) - - THETA <- NULL - PARS <- NULL - N <- N.start - W <- 0 # cumulative weight - maxLL_run <- -Inf + thresholds <- NULL + theta_i <- NULL for (i in seq_len(iter)) { printedLines <- utils::capture.output(split = TRUE, { @@ -69,209 +57,137 @@ modsemOrderedScaleCorrection <- function(model.syntax, if (verbose) printf("Iterations %d/%d [%s]...\n", i, iter, mode) - if (is.null(calc.se)) - calc.se_i <- ifelse(j < 1L || (se == "simple" && j > 1L), yes = FALSE, no = TRUE) - else - calc.se_i <- calc.se - - if (is.null(THETA)) { - optimize <- TRUE - start <- NULL + if (is.null(theta_i)) { + optimize_i <- TRUE + start_i <- NULL } else { - optimize <- FALSE - start <- apply(THETA, MARGIN = 2, FUN = mean, na.rm = TRUE) # na.rm should't be necessary, ever... + optimize_i <- FALSE + start_i <- theta_i } - if (j > 0L) imputed[[j]] <- data_i - fit_i <- tryCatch( modsem_da( model.syntax = model.syntax, data = data_i, method = method, - start = start, + start = start_i, verbose = verbose, - optimize = optimize, - calc.se = calc.se_i, - standardize.data = ordered.standardize.data, + optimize = optimize_i, + calc.se = FALSE, mean.observed = ordered.mean.observed, ... ), error = \(e) {cat("\n"); print(e); NULL} ) - if (is.null(fit_i)) next + stopif(is.null(fit_i), "Model estimation failed!") - pars_i <- parameter_estimates(fit_i) + theta_k <- theta_i + theta_i <- fit_i$theta - if (is.null(PARS) || mode == "warmup") { - PARS <- pars_i + pars <- parameter_estimates(fit_i) - } else { - ll <- as.numeric(fit_i$logLik) - - if (!is.finite(ll)) { - # skip weighting when logLik is NA/Inf - w <- 0 - - } else { - # if we have a new maximum, rescale cumulative weight to the new baseline - if (ll > maxLL_run) { - if (is.finite(maxLL_run)) { - scale <- exp((maxLL_run - ll) / lambda) # < 1 - W <- W * scale - } - maxLL_run <- ll - } - - # softmax-style weight in (0, 1], peaked at current best - w <- exp((ll - maxLL_run) / lambda) - } - - # online likelihood-weighted average update - if (w > 0) { - W <- W + w - PARS$est <- PARS$est + (w / W) * (pars_i$est - PARS$est) - } + if (!is.null(scaling.factor.int)) { + # bias represents the degree to which the coefficient is + # over/under estimated. we use it to get a scaling factor + is.int <- grepl(":", pars$rhs) + pars[is.int, "est"] <- scaling.factor.int * pars[is.int, "est"] } sim_i <- simulateDataParTable( - parTable = PARS, + parTable = pars, N = N ) - rescaled <- rescaleOrderedData(data = data.x, sim.ov = sim_i$oV, - cols.ordered = cols.ordered, - cols.cont = cols.cont) - coverage <- rescaled$coverage - n.scalef <- target.coverage / coverage - N <- min(N.max, floor(n.scalef * N)) - N <- max(N, NROW(data)) # we don't want N to be lower than the number of observations - data_i <- rescaled$data - thresholds <- rescaled$thresholds - - THETA <- rbind( - THETA, - matrix(fit_i$theta, nrow = 1, dimnames = list(NULL, names(fit_i$theta))) - ) + rescaled <- rescaleOrderedData(data = data.x, + sim.ov = sim_i$oV, + cols.ordered = cols.ordered, + cols.cont = cols.cont, + linear.ovs = inds.xis) + + if (j >= 1L && !is.null(thresholds) && !is.null(data_i)) { + data_j <- rescaled$data + lambda_j <- 1 / j + lambda_i <- 1 - lambda_j + + for (col in cols.ordered) + data_i[[col]] <- lambda_i * data_i[[col]] + lambda_j * data_j[[col]] - if (j >= 1L) { - fits[[j]] <- fit_i - COEF.FREE[[j]] <- coef(fit_i, type = "free") - COEF.ALL[[j]] <- addThresholdsCoef(coef(fit_i, type = "all"), - thresholds = thresholds) - - if (j > 1L && se == "simple") { - VCOV.ALL[[j]] <- VCOV.ALL[[1]] - VCOV.FREE[[j]] <- VCOV.FREE[[1]] - - } else if (calc.se_i) { - VCOV.FREE[[j]] <- vcov(fit_i, type = "free") - VCOV.ALL[[j]] <- addThresholdsVcov(vcov(fit_i, type = "all"), - thresholds = thresholds) - - } else { - k.all <- length(COEF.ALL[[j]]) + length(unlist(thresholds)) - k.free <- length(COEF.FREE[[j]]) - d.all <- c(names(COEF.ALL[[j]]), getLabelsThresholds(thresholds)) - d.free <- names(COEF.FREE[[j]]) - - VCOV.ALL[[j]] <- matrix(0, nrow = k.all, ncol = k.all, - dimnames = list(d.all, d.all)) - VCOV.FREE[[j]] <- matrix(0, nrow = k.free, ncol = k.free, - dimnames = list(d.free, d.free)) - } + } else { + data_i <- rescaled$data + thresholds <- rescaled$thresholds } }) nprinted <- length(printedLines) if (i < iter) eraseConsoleLines(nprinted) - } - failed <- vapply(fits, FUN.VALUE = logical(1L), FUN = is.null) + epsilon <- theta_i - theta_k + diff.theta <- mean(abs(epsilon)) - if (any(failed)) { - warning2(sprintf("Model estimation failed in %d out of %d impuations!", - sum(failed), R), immediate. = FALSE) + if (diff.theta <= diff.theta.tol && j > 1L) { + printf("Solution converged (iter = %d, warmup = %d, diff = %.2g)\n", + i, warmup, diff.theta) + + break + } + } - fits <- fits[!failed] - COEF.ALL <- COEF.ALL[!failed] - COEF.FREE <- COEF.FREE[!failed] - VCOV.ALL <- VCOV.ALL[!failed] - VCOV.FREE <- VCOV.FREE[!failed] - R <- sum(!failed) + fit.out <- modsem_da(model.syntax = model.syntax, + data = data_i, + method = method, + start = theta_i, + verbose = verbose, + optimize = FALSE, + calc.se = calc.se, + mean.observed = ordered.mean.observed, + ...) + + rescaled <- rescaleOrderedData(data = data.x, + sim.ov = sim_i$oV, + cols.ordered = cols.ordered, + cols.cont = cols.cont, + linear.ovs = inds.xis, + thresholds.vcov = TRUE) + + vcov.t <- NULL + coef.t <- NULL + for (col in cols.ordered) { + vcov.t <- diagPartitionedMat(vcov.t, rescaled$vcov[[col]]) + coef.t <- c(coef.t, rescaled$thresholds[[col]]) } - pool.all <- rubinPool(COEF.ALL, VCOV.ALL) - pool.free <- rubinPool(COEF.FREE, VCOV.FREE) - - coef.all <- pool.all$theta.bar - vcov.all <- pool.all$Tvcov - - coef.free <- pool.free$theta.bar - vcov.free <- pool.free$Tvcov - - # Re-do parameter estimates - parTable1 <- addThresholdsParTable(parameter_estimates(fits[[1]]), - thresholds = thresholds) - orig.labels <- parTable1$label - parTable1 <- getMissingLabels(parTable1) - parTableT <- data.frame(label = names(coef.all), - est.t = coef.all, - std.error.t = sqrt(diag(vcov.all))) - - parTable <- leftJoin(left = parTable1, right = parTableT, by = "label") - match <- !is.na(parTable$est.t) - - parTable$est[match] <- parTable$est.t[match] - parTable$std.error[match] <- parTable$std.error.t[match] - parTable$est.t <- NULL - parTable$std.error.t <- NULL - parTable$label[!parTable$label %in% orig.labels] <- "" - parTable <- parTable[c("lhs", "op", "rhs", "label", "est", "std.error")] # remove z-statistics - parTable <- addZStatsParTable(parTable) - - - parTable <- modsemParTable(sortParTableDA(parTable, model = fits[[1L]]$model)) - - matrices <- aggregateMatrices(fits, type = "main") - covMatrices <- aggregateMatrices(fits, type = "cov") - expected.matrices <- aggregateMatrices(fits, type = "expected") - - getScalarFit <- function(fit, field, dtype = numeric) - vapply(fits, FUN.VALUE = dtype(1L), \(fit) fit[[field]]) - - fit.out <- fits[[1]] - fit.out$coefs.all <- coef.all - fit.out$coefs.free <- coef.free - fit.out$vcov.all <- vcov.all - fit.out$vcov.free <- vcov.free - fit.out$parTable <- parTable - fit.out$information <- sprintf("Rubin-corrected (m=%d)", iter.keep) - fit.out$FIM <- solve(vcov.free) - fit.out$theta <- apply(THETA, MARGIN = 2, FUN = mean, na.rm = TRUE) - fit.out$iterations <- sum(getScalarFit(fits, field = "iterations")) - fit.out$logLik <- mean(getScalarFit(fits, field = "logLik")) - fit.out$convergence <- all(getScalarFit(fits, field = "convergence", - dtype = logical)) - fit.out$convergence.msg <- getConvergenceMessage(fit.out$convergence, - fit.out$iterations) - fit.out$model$matrices <- matrices - fit.out$model$covModel$matrices <- covMatrices - fit.out$expected.matrices <- expected.matrices - - fit.out$imputations <- list(fitted = fits, data = imputed) - - # restore passed arguments + parTable <- fit.out$parTable + cols.t <- c("lhs", "op", "rhs", "label", "est", "std.error") + cols.m <- setdiff(colnames(parTable), cols.t) + + lhs.t = stringr::str_split_i(names(coef.t), pattern = "\\|", i = 1L) + rhs.t = stringr::str_split_i(names(coef.t), pattern = "\\|", i = 2L) + + parTable.t <- data.frame(lhs = lhs.t, op = "|", rhs = rhs.t, label = "", + est = coef.t, std.error = sqrt(diag(vcov.t))) + parTable.t[cols.m] <- NA + parTable.t <- addZStatsParTable(parTable.t) + + parTable <- sortParTableDA(rbind(parTable, parTable.t), model = fit.out$model) + + fit.out$coef.all <- c(fit.out$coef.all, coef.t) + fit.out$vcov.all <- diagPartitionedMat(fit.out$vcov.all, vcov.t) + fit.out$parTable <- parTable fit.out$args$optimize <- optimize - fit.out$args$start <- NULL + fit.out$args$start <- start fit.out } -rescaleOrderedVariable <- function(name, data, sim.ov, - smooth_eps = 0, - eps_expand = 1e-12) { +rescaleOrderedVariableMonteCarlo <- function(name, + data, + sim.ov, + smooth_eps = 0, + eps_expand = 1e-12, + standardize = TRUE, + thresholds.vcov = FALSE, + vcov.boot = 250) { x <- as.ordered(data[[name]]) x.i <- as.integer(x) y <- sim.ov[, name] @@ -294,10 +210,7 @@ rescaleOrderedVariable <- function(name, data, sim.ov, # empirical CDF from data; quantile cutpoints on simulated y cdf_obs <- cumsum(p_obs[-length(p_obs)]) # drop last, we know that it sums to 1 - y.sample <- y[sample(NROW(sim.ov), NROW(data))] # sample y to get appropriate sampling - # variation of thresholds - q <- stats::quantile(y.sample, - probs = cdf_obs, names = FALSE, type = 7) + q <- stats::quantile(y, probs = cdf_obs, names = FALSE, type = 7) q <- c(-Inf, q, Inf) # [0, ..., last(p_obs)] # compute conditional means in each [q[i], q[i+1]) (last bin inclusive) @@ -328,6 +241,22 @@ rescaleOrderedVariable <- function(name, data, sim.ov, if (any(idx)) mu[i] <- mean(y[idx]) } + if (thresholds.vcov) { + Q <- matrix(NA_real_, nrow = vcov.boot, ncol = length(cdf_obs), + dimnames = list(NULL, paste0(name, "|t", seq_along(cdf_obs)))) + + for (i in seq_len(vcov.boot)) { + N <- length(y) + n <- length(x) + + replace <- N <= 5L * n + y.sample <- y[sample(N, n, replace = replace)] + Q[i, ] <- stats::quantile(y.sample, probs = cdf_obs, names = FALSE, type = 7) + } + + vcov <- stats::cov(Q) + } else vcov <- NULL + # exact centering to remove residual drift (weighted by observed category probs) mu <- mu - sum(p_obs * mu, na.rm = TRUE) @@ -336,88 +265,120 @@ rescaleOrderedVariable <- function(name, data, sim.ov, for (i in seq_len(K)) x.out[x.i == i] <- mu[i] - list(values = x.out, thresholds = q) -} - + if (standardize) + x.out <- std1(x.out) -addThresholdsParTable <- function(parTable, thresholds) { - na.cols <- setdiff(colnames(parTable), c("lhs", "op", "rhs", "est", "label")) + labels.t <- paste0(name, "|t", seq_len(sum(is.finite(q)))) + thresholds <- stats::setNames(q[is.finite(q)], labels.t) - for (col in names(thresholds)) { - t <- thresholds[[col]] - t <- t[is.finite(t)] - - newRows <- data.frame(lhs = col, - op = "|", - rhs = paste0("t", seq_along(t)), - est = t, label = "") - newRows[na.cols] <- NA - - parTable <- rbind(parTable, newRows) - } - - parTable + list(values = x.out, thresholds = thresholds, vcov = vcov) } -addThresholdsCoef <- function(coef, thresholds) { - for (col in names(thresholds)) { - t <- thresholds[[col]] - t <- t[is.finite(t)] - - names(t) <- paste0(col, "|t", seq_along(t)) - coef <- c(coef, t) - } - - coef -} +rescaleOrderedVariableAnalytic <- function(name, + data, + sim.ov = NULL, # ignored + smooth_eps = 0, + standardize = TRUE, + thresholds.vcov = FALSE, + vcov.method = c("delta", "bootstrap"), + vcov.boot = 250) { + vcov.method <- match.arg(vcov.method) + x <- as.ordered(data[[name]]) + x.i <- as.integer(x) -getLabelsThresholds <- function(thresholds) { - labels <- NULL - for (col in names(thresholds)) { - t <- thresholds[[col]] - t <- t[is.finite(t)] + # observed category proportions (optional Laplace smoothing) + tab <- as.numeric(table(x)) + K <- length(tab) + n <- sum(tab) + if (K < 2) stop("Need at least 2 ordered categories for '", name, "'.") - labels <- c(labels, paste0(col, "|t", seq_along(t))) + if (smooth_eps > 0) { + p_hat <- (tab + smooth_eps) / (n + K * smooth_eps) + } else { + p_hat <- tab / n } - labels -} + # cumulative probs for interior thresholds (K-1 of them) + C <- cumsum(p_hat)[-K] # drop last; sums to 1 + # numeric guards + eps <- .Machine$double.eps^0.5 + C <- pmin(pmax(C, eps), 1 - eps) + + # thresholds on standard-normal scale + t_int <- stats::qnorm(C) # length K-1 + q <- c(-Inf, t_int, Inf) # length K+1 for interval bounds + + # truncated-normal means for each category interval (a_i, b_i] + # mu_i = (phi(a_i) - phi(b_i)) / (Phi(b_i) - Phi(a_i)) + a <- q[1:K] + b <- q[2:(K+1)] + Phi_a <- stats::pnorm(a) + Phi_b <- stats::pnorm(b) + phi_a <- stats::dnorm(a) + phi_b <- stats::dnorm(b) + denom <- pmax(Phi_b - Phi_a, eps) + mu <- (phi_a - phi_b) / denom + + # exact centering to remove small drift from smoothing/finite-n + mu <- mu - sum(p_hat * mu) - -addThresholdsVcov <- function(vcov, thresholds) { - for (col in names(thresholds)) { - t <- thresholds[[col]] - t <- t[is.finite(t)] - k <- length(t) - - lab <- paste0(col, "|t", seq_along(t)) - vcov.t <- matrix(0, nrow = k, ncol = k, dimnames = list(lab, lab)) - vcov <- diagPartitionedMat(vcov, vcov.t) + # map each observed category to its conditional mean + x.out <- rep(NA_real_, length(x.i)) + for (i in seq_len(K)) x.out[x.i == i] <- mu[i] + + # optional standardization of the mapped scores (sample standardization) + if (standardize) + x.out <- std1(x.out) + + # labels for interior thresholds + labels.t <- paste0(name, "|t", seq_len(K - 1)) + thresholds <- stats::setNames(t_int, labels.t) + + vcov <- NULL + if (thresholds.vcov && vcov.method == "delta") { + # Delta method for t = qnorm(C), where C are cumulative probs from multinomial + # Multinomial covariance of cell proportions: Var(p) = (diag(p) - pp^T)/n + # Let C_j = sum_{i<=j} p_i, j=1..K-1. + # J_p->C is lower-triangular with ones: + J_pc <- matrix(0, nrow = K - 1, ncol = K) + for (j in 1:(K - 1)) J_pc[j, 1:j] <- 1 + + V_p <- (diag(p_hat) - tcrossprod(p_hat, p_hat)) / n # K x K + V_C <- J_pc %*% V_p %*% t(J_pc) # (K-1) x (K-1) + + # t = qnorm(C); dt/dC = 1 / dnorm(t) evaluated at t + D_tC <- diag(1 / pmax(stats::dnorm(t_int), eps), nrow = K - 1) + V_t <- D_tC %*% V_C %*% D_tC + + colnames(V_t) <- rownames(V_t) <- labels.t + vcov <- V_t + + } else if (thresholds.vcov && vcov.method == "bootstrap") { + Q <- matrix(NA_real_, nrow = vcov.boot, ncol = K - 1, + dimnames = list(NULL, labels.t)) + for (b_ix in seq_len(vcov.boot)) { + # parametric bootstrap from Multinomial(n, p_hat) + counts_b <- as.numeric(stats::rmultinom(1, size = n, prob = p_hat)) + p_b <- counts_b / n + C_b <- cumsum(p_b)[-K] + C_b <- pmin(pmax(C_b, eps), 1 - eps) + Q[b_ix,] <- stats::qnorm(C_b) + } + vcov <- stats::cov(Q) } - vcov + list(values = x.out, thresholds = thresholds, vcov = vcov) } -rescaleOrderedData <- function(data, sim.ov, cols.ordered, cols.cont) { +rescaleOrderedData <- function(data, sim.ov, cols.ordered, cols.cont, + thresholds.vcov = FALSE, linear.ovs = NULL, + ...) { if (!length(cols.ordered)) # nothing to do return(cols.ordered) - if (length(cols.cont)) { - obsContScaled <- scale(as.matrix(data[, cols.cont, drop = FALSE])) - contCenter <- attr(obsContScaled, "scaled:center") - contScale <- attr(obsContScaled, "scaled:scale") - use.kNN <- TRUE - kNN_k <- 25L - } else { - obsContScaled <- NULL - contCenter <- contScale <- numeric(0L) - use.kNN <- FALSE - kNN_k <- 0L - } - # ensure column order consistent with data sim.mat <- as.data.frame(sim.ov)[, colnames(data), drop = FALSE] @@ -429,105 +390,40 @@ rescaleOrderedData <- function(data, sim.ov, cols.ordered, cols.cont) { # thresholds + univariate conditional means for each ordered variable NamedList <- \(nm) stats::setNames(vector("list", length(nm)), nm = nm) - thresholds <- NamedList(cols.ordered) - univarEst <- NamedList(cols.ordered) - - std1 <- function(v) { - mu <- mean(v, na.rm = TRUE) - sigma <- stats::sd(v, na.rm = TRUE) - - if (!is.finite(sigma) || sigma == 0) - sigma <- 1 - - (v - mu) / sigma - } + thresholds <- NamedList(cols.ordered) + univarEst <- NamedList(cols.ordered) + thresholdsVcov <- NamedList(cols.ordered) # standardized versions of the ordered cols in sim (these are the values we copy) sim.std.ord <- lapplyNamed(cols.ordered, \(col) std1(sim.mat[[col]]), names = cols.ordered) sim.std.ord <- as.data.frame(sim.std.ord) - sim.cat <- sim.mat for (col in cols.ordered) { - scaling <- rescaleOrderedVariable(name = col, data = data.cat, sim.ov = sim.mat) - univarEst[[col]] <- scaling$values - thresholds[[col]] <- scaling$thresholds - - # categories via findInterval for speed (on standardized scale) - sim.cat[[col]] <- findInterval(sim.std.ord[[col]], - vec = scaling$thresholds, - left.open = TRUE, rightmost.closed = TRUE) + if (col %in% linear.ovs) .f <- rescaleOrderedVariableAnalytic + else .f <- rescaleOrderedVariableMonteCarlo + + scaling <- .f(name = col, data = data.cat, sim.ov = sim.mat, + thresholds.vcov = thresholds.vcov, ...) + univarEst[[col]] <- scaling$values + thresholds[[col]] <- scaling$thresholds + thresholdsVcov[[col]] <- scaling$vcov } - # start with the univariate estimates for ordered variables only - multivarEst <- as.data.frame(univarEst) - - # ordered-combo keys - obs.code <- interaction(data.cat[cols.ordered], drop = TRUE, lex.order = TRUE) - sim.code <- interaction(sim.cat[cols.ordered], drop = TRUE, lex.order = TRUE) - combos.both <- intersect(levels(obs.code), levels(sim.code)) - combos.miss <- setdiff(levels(obs.code), levels(sim.code)) - - denominator <- length(levels(obs.code)) - numerator <- denominator - length(combos.miss) - coverage <- numerator / denominator - - # pre-split indices - obs.splits <- split(seq_len(nrow(data.cat)), obs.code, drop = TRUE) - sim.splits <- split(seq_len(nrow(sim.cat)), sim.code, drop = TRUE) - - # precompute standardized continuous block for sim (to match observed) - if (length(cols.cont)) { - X <- as.matrix(sim.mat[, cols.cont, drop = FALSE]) - - simContScaled <- as.matrix( - sweep(sweep(X, 2, contCenter, "-"), 2, contScale, "/") - ) - } + out[cols.ordered] <- as.data.frame(univarEst)[cols.ordered] + # preserve original column order & types for continuous vars + out <- out[, colnames(data), drop = FALSE] - for (combo in combos.both) { - oi <- obs.splits[[combo]] - si <- sim.splits[[combo]] - if (!length(oi) || !length(si)) next - - # kNN within combo using continuous variables (if available) - # I.e., if there are continuous variables available we also want - # to incorporate their information, when sampling continuous values - # for the ordinal variables - if (use.kNN && length(cols.cont)) { - Oc <- obsContScaled[oi, , drop = FALSE] - Sc <- simContScaled[si, , drop = FALSE] - - if (ncol(Oc) && nrow(Sc)) { - k_eff <- max(1L, min(kNN_k, nrow(Sc))) - picked <- integer(length(oi)) - - nn <- RANN::nn2(Sc, Oc, k = k_eff, searchtype = "standard") - for (r in seq_along(oi)) { - nei <- nn$nn.idx[r, seq_len(k_eff)] - d <- nn$nn.dists[r, seq_len(k_eff)] - w <- 1 / pmax(d, 1e-8) # inverse-distance weights - picked[r] <- si[ nei[ sample.int(k_eff, 1L, prob = w) ] ] - } - - # write replacements for ordered columns only - multivarEst[oi, cols.ordered] <- sim.std.ord[picked, cols.ordered, drop = FALSE] - next - } - } + list(data = out, thresholds = thresholds, vcov = thresholdsVcov) +} - # fallback: uniform within combo - k <- length(oi) - m <- length(si) - M <- si[sample.int(m, k, replace = (m < k))] - multivarEst[oi, cols.ordered] <- sim.std.ord[M, cols.ordered, drop = FALSE] - } - # Put the multivariate ordered replacements back onto a FULL data frame. - out[cols.ordered] <- multivarEst[cols.ordered] +std1 <- function(v) { + mu <- mean(v, na.rm = TRUE) + sigma <- stats::sd(v, na.rm = TRUE) - # preserve original column order & types for continuous vars - out <- out[, colnames(data), drop = FALSE] + if (!is.finite(sigma) || sigma == 0) + sigma <- 1 - list(data = out, thresholds = thresholds, coverage = coverage) + (v - mu) / sigma } diff --git a/R/utils.R b/R/utils.R index ebebe119..476573ea 100644 --- a/R/utils.R +++ b/R/utils.R @@ -659,8 +659,11 @@ leftJoin <- function(left, right, by = intersect(colnames(left), colnames(right) } -eraseConsoleLines <- function(n = 1) { - if (n < 1 || !interactive()) return(invisible()) +eraseConsoleLines <- function(n = 1L) { + if (n < 1L || !interactive() || !.isOnUnix()) + return(invisible()) # if we're not in interactive mode, or on UNIX + # there is not point + seq <- paste0(rep("\033[1A\033[2K", n), collapse = "") # bring cursor to start of the line we landed on cat(seq, "\033[1G", sep = "") @@ -683,3 +686,9 @@ is.invertible <- function(M) { TRUE }, error = \(e) FALSE) } + + +.isOnUnix <- function(.onFail = FALSE) { + tryCatch(tolower(.Platform$OS.type) == "unix", + error = \(e) .onFail) +} diff --git a/R/utils_da.R b/R/utils_da.R index 88d727c0..3f52f011 100644 --- a/R/utils_da.R +++ b/R/utils_da.R @@ -203,6 +203,7 @@ patternizeMissingDataFIML <- function(data) { Y <- as.matrix(data) obs <- !is.na(Y) + rowMissingAll <- apply(obs, MARGIN = 1, FUN = \(x) !any(x)) colMissingAll <- apply(obs, MARGIN = 2, FUN = \(x) !any(x)) stopif(any(colMissingAll), "Please remove variables with only missing values:\n ", @@ -210,9 +211,11 @@ patternizeMissingDataFIML <- function(data) { patterns <- unique(obs, MARING = 2) - # remove patterns where all are missing - allMissing <- apply(patterns, MARGIN = 1, FUN = \(x) all(is.na(x))) - patterns <- patterns[!allMissing, , drop = FALSE] + if (any(rowMissingAll)) { # remove patterns where all are missing + # This shouldn't really happen, as it should be handled already in + # `handleMissingData()`. Regardless, we should handle it if it ever happens + return(patternizeMissingDataFIML(data[!rowMissingAll, , drop = FALSE])) + } ids <- seq_len(NROW(patterns)) n <- NROW(Y) @@ -297,6 +300,9 @@ handleMissingData <- function(data, missing = "listwise", CLUSTER = NULL) { } else if (missing %in% c("fiml", "ml", "direct")) { attr(data, "cluster") <- CLUSTER + rowMissingAll <- apply(data, MARGIN = 1, FUN = \(x) all(is.na(x))) + data <- data[!rowMissingAll, , drop = FALSE] # we've already know that + # all(rowMissingAll) != TRUE return(data) } else { @@ -971,7 +977,10 @@ sortParTableDA <- function(parTable, model) { scoreOp <- getScore(x = parTable$op, order.by = opOrder) scoreRhs <- getScore(x = parTable$rhs, order.by = varOrder) - parTable[order(scoreOp, scoreLhs, scoreRhs), , drop = FALSE] + out <- parTable[order(scoreOp, scoreLhs, scoreRhs), , drop = FALSE] + rownames(out) <- NULL + + out } diff --git a/man/modsem_da.Rd b/man/modsem_da.Rd index a541e1cd..d5542cda 100644 --- a/man/modsem_da.Rd +++ b/man/modsem_da.Rd @@ -41,8 +41,8 @@ modsem_da( algorithm = NULL, em.control = NULL, ordered = NULL, - ordered.iter = 75L, - ordered.warmup = floor(ordered.iter/3L), + ordered.iter = 100L, + ordered.warmup = 25L, cluster = NULL, cr1s = FALSE, rcs = FALSE, @@ -198,18 +198,17 @@ optimization steps when needed. Default is \code{"EM"}.} \item{em.control}{a list of control parameters for the EM algorithm. See \code{\link{default_settings_da}} for defaults.} -\item{ordered}{Variables to be treated as ordered. The distributions of the -continuous response variables are estimated using a combination of Markow-Chain -Monte-Carlo sampling, and multiple imputation. It should yield more consistent, -and less biased results, compared to when ordinal variables are treated as continuous.} +\item{ordered}{Variables to be treated as ordered. The scale of the ordinal variables +is scaled to correct for unequal intervals. The underlying continous distributions +are estimated using a Monte-Carlo bootstrap approach. The ordinal values are replaced with +the expected values for each interval. Using \code{ordered=TRUE} should yield estimates +which are more robust to unequal intervals in ordinal variables. I.e., the estimates +should be more consistent, and less biased.} -\item{ordered.iter}{Number of sampling iterations used to sample the underlying continuous distribution of the -ordinal variables. The default is set to \code{75}, but should likely be -increased to yield more consistent estimates.} +\item{ordered.iter}{Maximum number of sampling iterations used to sample the underlying continuous distribution of the +ordinal variables. The default is set to \code{100}.} -\item{ordered.warmup}{Number of sampling iterations in the warmup phase. These are discarded when estimating -the final model parameters. The default is set to \code{ordered.iter / 3L}. -In some cases it might be suitable to use a higher ratio (e.g., \code{ordered.iter / 2L}).} +\item{ordered.warmup}{Number of sampling iterations in the warmup phase.} \item{cluster}{Clusters used to compute standard errors robust to non-indepence of observations. Must be paired with \code{robust.se = TRUE}.} diff --git a/tests/testthat/test_modsem_stan.R b/tests/testthat/test_modsem_stan.R index 21a93f50..e7ac3ff2 100644 --- a/tests/testthat/test_modsem_stan.R +++ b/tests/testthat/test_modsem_stan.R @@ -1,136 +1,218 @@ devtools::load_all() -library(mvtnorm) -library(rstan) -rstan_options(auto_write = TRUE, threads_per_chain = 4) # cache compiled models -options(mc.cores = parallel::detectCores()) -# Here we estimate the models using STAN. -# We're essentially specifying the models as -# Bayesian models with flat priors for the model -# parameters, mimicking ML-estimation +TEST_STAN <- FALSE -# ------------------------------------------------------------------------------ -# Two-way Interaction -# ------------------------------------------------------------------------------ +if (TEST_STAN) { + library(mvtnorm) + library(rstan) -m1 <- ' + rstan_options(auto_write = TRUE, threads_per_chain = 4) # cache compiled models + options(mc.cores = parallel::detectCores()) + + # Here we estimate the models using STAN. + # We're essentially specifying the models as + # Bayesian models with flat priors for the model + # parameters, mimicking ML-estimation + + # ------------------------------------------------------------------------------ + # Two-way Interaction + # ------------------------------------------------------------------------------ + + m1 <- ' X =~ x1 + x2 + x3 Z =~ z1 + z2 + z3 Y =~ y1 + y2 + y3 Y ~ X + Z + X:Z -' - -# First we compile the STAN model, this can be slow -# and is therefore done once, such that the compiled -# STAN code can be reused for the same model syntax later -compiled_model.2way <- compile_stan_model(m1) -compiled_model.2way <- compile_stan_model(m1) -cat(compiled_model.2way$syntax) - -# Fit the model based on the compiled STAN code -fit.2way <- modsem_stan(compiled_model = compiled_model.2way, - data = oneInt, iter = 2000, chains = 2) -# We can get a summary -summary(fit.2way) - -# We can also get the standardized (and unstandardized) -# estimates -standardized_estimates(fit.2way) -parameter_estimates(fit.2way) - - -# ------------------------------------------------------------------------------ -# Three-way Interaction -# ------------------------------------------------------------------------------ - -# Simulate data - -set.seed(29723234) -n <- 1400 -Sigma <- matrix(c( - 1.2, 0.7, 0.8, - 0.7, 1.8, 0.6, - 0.8, 0.6, 1.4 -), nrow = 3) - -XI <- rmvnorm(n, sigma = Sigma) - -X <- XI[, 1] -Z <- XI[, 2] -W <- XI[, 3] - -Y <- 1.2 * X + 0.4 * Z + 0.7 * W + - 0.2 * W * Z + - 0.7 * W * X + - 1.2 * X * Z + - 2.2 * X * Z * W + rnorm(n, sd = sqrt(2)) - -createInd <- \(x, lambda, tau, epsilon = 0.2) { - tau + lambda * x + rnorm(n, sd = sqrt(epsilon)) -} + ' + + # First we compile the STAN model, this can be slow + # and is therefore done once, such that the compiled + # STAN code can be reused for the same model syntax later + compiled_model.2way <- compile_stan_model(m1) + compiled_model.2way <- compile_stan_model(m1) + cat(compiled_model.2way$syntax) + + # Fit the model based on the compiled STAN code + fit.2way <- modsem_stan(compiled_model = compiled_model.2way, + data = oneInt, iter = 2000, chains = 2) + # We can get a summary + summary(fit.2way) + + # We can also get the standardized (and unstandardized) + # estimates + standardized_estimates(fit.2way) + parameter_estimates(fit.2way) + + + # ------------------------------------------------------------------------------ + # Three-way Interaction + # ------------------------------------------------------------------------------ + + # Simulate data + + set.seed(29723234) + n <- 1400 + Sigma <- matrix(c( + 1.2, 0.7, 0.8, + 0.7, 1.8, 0.6, + 0.8, 0.6, 1.4 + ), nrow = 3) + + XI <- rmvnorm(n, sigma = Sigma) + + X <- XI[, 1] + Z <- XI[, 2] + W <- XI[, 3] + + Y <- 1.2 * X + 0.4 * Z + 0.7 * W + + 0.2 * W * Z + + 0.7 * W * X + + 1.2 * X * Z + + 2.2 * X * Z * W + rnorm(n, sd = sqrt(2)) + + createInd <- \(x, lambda, tau, epsilon = 0.2) { + tau + lambda * x + rnorm(n, sd = sqrt(epsilon)) + } + + x1 <- createInd(X, 1.0, 1.2) + x2 <- createInd(X, 0.8, 0.8) + x3 <- createInd(X, 0.9, 1.0) + + z1 <- createInd(Z, 1.0, 1.2) + z2 <- createInd(Z, 0.8, 0.8) + z3 <- createInd(Z, 0.9, 1.0) + + w1 <- createInd(W, 1.0, 1.2) + w2 <- createInd(W, 0.8, 0.8) + w3 <- createInd(W, 0.9, 1.0) + + y1 <- createInd(Y, 1.0, 1.2) + y2 <- createInd(Y, 0.8, 0.8) + y3 <- createInd(Y, 0.9, 1.0) + + data.3way <- data.frame(x1, x2, x3, + z1, z2, z3, + w1, w2, w3, + y1, y2, y3) + m.3way <- ' + X =~ x1 + x2 + x3 + Z =~ z1 + z2 + z3 + W =~ w1 + w2 + w3 + Y =~ y1 + y2 + y3 -x1 <- createInd(X, 1.0, 1.2) -x2 <- createInd(X, 0.8, 0.8) -x3 <- createInd(X, 0.9, 1.0) - -z1 <- createInd(Z, 1.0, 1.2) -z2 <- createInd(Z, 0.8, 0.8) -z3 <- createInd(Z, 0.9, 1.0) - -w1 <- createInd(W, 1.0, 1.2) -w2 <- createInd(W, 0.8, 0.8) -w3 <- createInd(W, 0.9, 1.0) - -y1 <- createInd(Y, 1.0, 1.2) -y2 <- createInd(Y, 0.8, 0.8) -y3 <- createInd(Y, 0.9, 1.0) - -data.3way <- data.frame(x1, x2, x3, - z1, z2, z3, - w1, w2, w3, - y1, y2, y3) -m.3way <- ' - X =~ x1 + x2 + x3 - Z =~ z1 + z2 + z3 - W =~ w1 + w2 + w3 - Y =~ y1 + y2 + y3 - - Y ~ X + Z + W + X:Z + X:W + Z:W + X:Z:W - # True values are - # Y ~ 1.2 * X + - # 0.4 * Z + - # 0.7 * W + - # 1.2 * X:Z + - # 0.7 * X:W + - # 0.2 * Z:W + - # 2.2 * X:Z:W + -' - -# First we compile the STAN model, this can be slow -# and is therefore done once, such that the compiled -# STAN code can be reused for the same model syntax later -compiled_model.3way <- compile_stan_model(m.3way) - -# Fit the model based on the compiled STAN code -fit.3way <- modsem_stan( - compiled_model = compiled_model.3way, - data = data.3way, - chains = 2, - iter = 10000 # More iterations should yield more stable estimates -) -#> Regressions: -#> Estimate Std.Error z.value P(>|z|) -#> Y ~ -#> X 1.040 0.159 6.535 0.000 -#> Z 0.423 0.128 3.296 0.001 -#> W 0.696 0.126 5.524 0.000 -#> X:Z 1.385 0.173 8.023 0.000 -#> X:W 0.733 0.175 4.193 0.000 -#> Z:W 0.190 0.178 1.070 0.284 -#> X:Z:W 2.227 0.107 20.731 0.000 - -summary(fit.3way) -standardized_estimates(fit.3way) -parameter_estimates(fit.3way) + Y ~ X + Z + W + X:Z + X:W + Z:W + X:Z:W + # True values are + # Y ~ 1.2 * X + + # 0.4 * Z + + # 0.7 * W + + # 1.2 * X:Z + + # 0.7 * X:W + + # 0.2 * Z:W + + # 2.2 * X:Z:W + + ' + + # First we compile the STAN model, this can be slow + # and is therefore done once, such that the compiled + # STAN code can be reused for the same model syntax later + compiled_model.3way <- compile_stan_model(m.3way) + + # Fit the model based on the compiled STAN code + fit.3way <- modsem_stan( + compiled_model = compiled_model.3way, + data = data.3way, + chains = 2, + iter = 10000 # More iterations should yield more stable estimates + ) + #> Regressions: + #> Estimate Std.Error z.value P(>|z|) + #> Y ~ + #> X 1.040 0.159 6.535 0.000 + #> Z 0.423 0.128 3.296 0.001 + #> W 0.696 0.126 5.524 0.000 + #> X:Z 1.385 0.173 8.023 0.000 + #> X:W 0.733 0.175 4.193 0.000 + #> Z:W 0.190 0.178 1.070 0.284 + #> X:Z:W 2.227 0.107 20.731 0.000 + + summary(fit.3way) + standardized_estimates(fit.3way) + parameter_estimates(fit.3way) + + + # ------------------------------------------------------------------------------ + # ORDERED INDICATORS + # ------------------------------------------------------------------------------ + + m1 <- ' + # Outer Model + X =~ x1 + x2 + x3 + Z =~ z1 + z2 + z3 + Y =~ y1 + y2 + y3 + + # Inner Model + Y ~ X + Z + X:Z + ' + + + rthreshold <- \(k, offset = runif(1, min = -1, max = 1), sigma = 0.35) { + t <- seq_len(k) - mean(seq_len(k)) + offset + t <- t + runif(k, min = -sigma, max = sigma) + c(-Inf, t, Inf) + } + + + cut_data <- function(data, k = 5, choose = NULL) { + if (is.null(choose)) + choose <- colnames(data) + + standardize <- \(x) (x - mean(x)) / sd(x) + + thresholds <- list() + for (var in choose) { + x <- standardize(data[[var]]) + t <- rthreshold(k) + y <- cut(x, breaks = t, ordered_result = TRUE) + + min.x <- min(x) + max.x <- max(x) + + data[[var]] <- y + thresholds[[var]] <- t[t >= min.x & t <= max.x] + } + + list(data = data, thresholds = thresholds) + } + + + choose <- colnames(oneInt) + set.seed(2837290) + CUTS <- cut_data(oneInt, choose = choose) + oneInt2 <- CUTS$data + compiled <- compile_stan_model(m1, ordered = choose) + stan <- modsem_stan(compiled_model = compiled, data = oneInt2, + ordered = choose, iter = 10000) + thresholds <- CUTS$thresholds + + thresholds.table <- NULL + parTable <- parameter_estimates(lms1) + for (col in choose) { + tau.true <- thresholds[[col]] + tau.true <- tau.true[is.finite(tau.true)] + mask <- parTable$lhs == col & parTable$op == "|" + tau.est <- parTable[mask, "est"] + tau.lower <- parTable[mask, "ci.lower"] + tau.upper <- parTable[mask, "ci.upper"] + pars <- paste0(col, "|t", seq_along(tau.true)) + + rows <- data.frame(parameter = pars, true = tau.true, + est = tau.est, diff = tau.true - tau.est, + ci.lower = tau.lower, ci.upper = tau.upper, + ok = tau.true >= tau.lower & tau.true <= tau.upper) + thresholds.table <- rbind(thresholds.table, rows) + } + + print(modsemParTable(thresholds.table)) + testthat::expect_true(sum(thresholds.table$ok) / NROW(thresholds.table) >= 0.95) # 95% confidence +} diff --git a/tests/testthat/test_ordered_da.R b/tests/testthat/test_ordered_da.R index 862df5a1..cd887028 100644 --- a/tests/testthat/test_ordered_da.R +++ b/tests/testthat/test_ordered_da.R @@ -46,35 +46,33 @@ cut_data <- function(data, k = 5, choose = NULL) { CHOOSE <- list(c("x1", "x2", "z1", "y1"), colnames(oneInt)) -if (FALSE) { # very slow on GitHub actions - for (choose in CHOOSE) { - set.seed(2837290) - CUTS <- cut_data(oneInt, choose = choose) - oneInt2 <- CUTS$data - lms1 <- modsem(m1, oneInt2, method = "lms", ordered = choose, - ordered.iter = 75, ordered.warmup = 25) - thresholds <- CUTS$thresholds - - - thresholds.table <- NULL - parTable <- parameter_estimates(lms1) - for (col in choose) { - tau.true <- thresholds[[col]] - tau.true <- tau.true[is.finite(tau.true)] - mask <- parTable$lhs == col & parTable$op == "|" - tau.est <- parTable[mask, "est"] - tau.lower <- parTable[mask, "ci.lower"] - tau.upper <- parTable[mask, "ci.upper"] - pars <- paste0(col, "|t", seq_along(tau.true)) - - rows <- data.frame(parameter = pars, true = tau.true, - est = tau.est, diff = tau.true - tau.est, - ci.lower = tau.lower, ci.upper = tau.upper, - ok = tau.true >= tau.lower & tau.true <= tau.upper) - thresholds.table <- rbind(thresholds.table, rows) - } - - print(modsemParTable(thresholds.table)) - testthat::expect_true(sum(thresholds.table$ok) / NROW(thresholds.table) >= 0.95) # 95% confidence +for (choose in CHOOSE) { + set.seed(2837290) + CUTS <- cut_data(oneInt, choose = choose) + oneInt2 <- CUTS$data + lms1 <- modsem(m1, oneInt2, method = "lms", ordered = choose, + ordered.iter = 75, ordered.warmup = 20) + thresholds <- CUTS$thresholds + + + thresholds.table <- NULL + parTable <- parameter_estimates(lms1) + for (col in choose) { + tau.true <- thresholds[[col]] + tau.true <- tau.true[is.finite(tau.true)] + mask <- parTable$lhs == col & parTable$op == "|" + tau.est <- parTable[mask, "est"] + tau.lower <- parTable[mask, "ci.lower"] + tau.upper <- parTable[mask, "ci.upper"] + pars <- paste0(col, "|t", seq_along(tau.true)) + + rows <- data.frame(parameter = pars, true = tau.true, + est = tau.est, diff = tau.true - tau.est, + ci.lower = tau.lower, ci.upper = tau.upper, + ok = tau.true >= tau.lower & tau.true <= tau.upper) + thresholds.table <- rbind(thresholds.table, rows) } + + print(modsemParTable(thresholds.table)) + testthat::expect_true(sum(thresholds.table$ok) / NROW(thresholds.table) >= 0.95) # 95% confidence } From 1cd8b1f9c25c473e4d93777d80bc01dab0be52bb Mon Sep 17 00:00:00 2001 From: kss2k Date: Wed, 20 Aug 2025 09:48:07 +0200 Subject: [PATCH 30/51] Add handling of ordered variables in `modsem_stan()` --- R/create_stan_model.R | 3 +-- R/modsem_stan.R | 2 +- 2 files changed, 2 insertions(+), 3 deletions(-) diff --git a/R/create_stan_model.R b/R/create_stan_model.R index 96f8a6ab..94780aec 100644 --- a/R/create_stan_model.R +++ b/R/create_stan_model.R @@ -159,7 +159,6 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, inds <- indsLVs[[lV]] k <- length(inds) - parLines <- character() modelLines <- character() quantLines <- character() @@ -668,7 +667,7 @@ getStanData <- function(compiled_model, data, missing = "listwise", ordered = NU K <- as.integer(max(x_int)) stan_data[[sprintf("ORD_INDICATOR_%s", ind)]] <- x_int - stan_data[[sprintf("K_%s", ind)]] <- K + stan_data[[sprintf("K_%s", ind)]] <- K } stan_data diff --git a/R/modsem_stan.R b/R/modsem_stan.R index 8eeed390..4c793da2 100644 --- a/R/modsem_stan.R +++ b/R/modsem_stan.R @@ -125,6 +125,7 @@ modsem_stan <- function(model.syntax = NULL, diagnostics <- diagnostics[namesSamplesRaw, , drop = FALSE] coefs <- apply(samples, MARGIN = 2, FUN = mean) vcov <- cov(samples) + diagnostics <- diagnostics[colnames(samples), , drop = FALSE] rhat <- diagnostics[, "Rhat"] neff <- diagnostics[, "n_eff"] @@ -150,7 +151,6 @@ modsem_stan <- function(model.syntax = NULL, row.names = NULL ) - parTable <- tryCatch(sortParTableStan(parTable, compiled_model$info$parTable), error = \(e) parTable) parTable <- modsemParTable(parTable) From c9c32e59f1516b614f7e3fb28aeb5e000f9c9ff0 Mon Sep 17 00:00:00 2001 From: kss2k Date: Fri, 22 Aug 2025 15:11:18 +0200 Subject: [PATCH 31/51] Add some additional arguments --- R/create_stan_model.R | 173 ++++++++++++++++++++++-------------------- R/modsem_stan.R | 20 +++-- 2 files changed, 103 insertions(+), 90 deletions(-) diff --git a/R/create_stan_model.R b/R/create_stan_model.R index 94780aec..4f188b57 100644 --- a/R/create_stan_model.R +++ b/R/create_stan_model.R @@ -55,9 +55,14 @@ generated quantities { #' @param force Should compilation of previously compiled models be forced? #' @export compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, - ordered = NULL, ordered.link = c("logit", "probit")) { + ordered = NULL, + ordered.link = c("logit", "probit"), + parameterization = c("centered", "non-centered")) { ordered.link <- tolower(ordered.link) ordered.link <- match.arg(ordered.link) + + parameterization <- tolower(parameterization) + parameterization <- match.arg(parameterization) if (is.null(ordered)) ordered <- character(0) @@ -293,7 +298,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, } # Centered parameterization - STAN_PAR_XIS <- function(xis) { + STAN_PAR_XIS_C <- function(xis) { k <- length(xis) # Identify which xi's are all-ordinal @@ -356,86 +361,90 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, } # Non-centered parameterization - # STAN_PAR_XIS <- function(xis) { - # k <- length(xis) - # - # # Identify which xi's are all-ordinal (variance fixed to 1) - # fix_idx <- which(vapply(xis, function(lv) is_allOrdinal_lv[lv], logical(1))) - # free_idx <- setdiff(seq_len(k), fix_idx) - # - # # ---------------- parameters ---------------- - # parLOmega <- sprintf("cholesky_factor_corr[%d] L_Omega;", k) - # - # if (length(free_idx) > 0L) { - # parSqrtDPhi <- sprintf("vector[%d] sqrtD_Phi_free;", length(free_idx)) - # } else { - # parSqrtDPhi <- NULL - # } - # - # # Non-centered: matrix of standard normals (N x k) - # parZ <- sprintf("matrix[N, %d] z_XI;", k) - # - # # ---------------- transformed parameters ---------------- - # # Rebuild sqrtD_Phi with fixed 1's at fix_idx - # tparBuildSqrt <- c( - # sprintf("vector[%d] sqrtD_Phi;", k), - # "{", - # if (length(free_idx) > 0L) " int c = 1;" else NULL, - # if (k > 0L) { - # paste0( - # vapply(seq_len(k), function(i) { - # if (i %in% fix_idx) { - # sprintf(" sqrtD_Phi[%d] = 1;", i) - # } else { - # sprintf(" sqrtD_Phi[%d] = sqrtD_Phi_free[c]; c += 1;", i) - # } - # }, character(1L)), - # collapse = "\n" - # ) - # } else NULL, - # "}" - # ) - # - # tparLSigma <- sprintf("matrix[%d, %d] L_Sigma = diag_pre_multiply(sqrtD_Phi, L_Omega);", k, k) - # - # # Row-vector mean (0 by default). Change if you want non-zero LV means. - # tparMuXi <- sprintf("row_vector[%d] MU_XI = rep_row_vector(0, %d);", k, k) - # - # # Build XI_Matrix in one vectorised statement: - # # each row: MU_XI + z_i * L_Sigma' - # tparXiMatDecl <- sprintf("matrix[N, %d] XI_Matrix;", k) - # tparXiMatFill <- "XI_Matrix = rep_matrix(MU_XI, N) + z_XI * L_Sigma';" - # - # # Also expose named column vectors (X, Z, ...) for downstream code - # xiVectors <- NULL - # for (i in seq_along(xis)) { - # xiVectors <- c(xiVectors, sprintf("vector[N] %s = col(XI_Matrix, %d);", xis[[i]], i)) - # } - # tparXiVectors <- collapse(xiVectors) - # - # # ---------------- model ---------------- - # modLOmega <- "L_Omega ~ lkj_corr_cholesky(1);" - # # Non-centered prior: standard normals (vectorised via to_vector) - # modZ <- "to_vector(z_XI) ~ std_normal();" - # # (Optionally add a weak prior for sqrtD_Phi_free if desired.) - # - # parameters <- collapse(c(parLOmega, parSqrtDPhi, parZ)) - # transformed <- collapse(c( - # tparBuildSqrt, tparLSigma, tparMuXi, - # tparXiMatDecl, tparXiMatFill, - # tparXiVectors - # )) - # model <- collapse(c(modLOmega, modZ)) - # - # # Hide internals if you use an exclusion mechanism - # EXCLUDE.PARS <<- c(EXCLUDE.PARS, "z_XI", "XI_Matrix", xis) - # - # list( - # parameters = parameters, - # transformed_parameters = transformed, - # model = model - # ) - # } + STAN_PAR_XIS_NC <- function(xis) { + k <- length(xis) + + # Identify which xi's are all-ordinal (variance fixed to 1) + fix_idx <- which(vapply(xis, function(lv) is_allOrdinal_lv[lv], logical(1))) + free_idx <- setdiff(seq_len(k), fix_idx) + + # ---------------- parameters ---------------- + parLOmega <- sprintf("cholesky_factor_corr[%d] L_Omega;", k) + + if (length(free_idx) > 0L) { + parSqrtDPhi <- sprintf("vector[%d] sqrtD_Phi_free;", length(free_idx)) + } else { + parSqrtDPhi <- NULL + } + + # Non-centered: matrix of standard normals (N x k) + parZ <- sprintf("matrix[N, %d] z_XI;", k) + + # ---------------- transformed parameters ---------------- + # Rebuild sqrtD_Phi with fixed 1's at fix_idx + tparBuildSqrt <- c( + sprintf("vector[%d] sqrtD_Phi;", k), + "{", + if (length(free_idx) > 0L) " int c = 1;" else NULL, + if (k > 0L) { + paste0( + vapply(seq_len(k), function(i) { + if (i %in% fix_idx) { + sprintf(" sqrtD_Phi[%d] = 1;", i) + } else { + sprintf(" sqrtD_Phi[%d] = sqrtD_Phi_free[c]; c += 1;", i) + } + }, character(1L)), + collapse = "\n" + ) + } else NULL, + "}" + ) + + tparLSigma <- sprintf("matrix[%d, %d] L_Sigma = diag_pre_multiply(sqrtD_Phi, L_Omega);", k, k) + + # Row-vector mean (0 by default). Change if you want non-zero LV means. + tparMuXi <- sprintf("row_vector[%d] MU_XI = rep_row_vector(0, %d);", k, k) + + # Build XI_Matrix in one vectorised statement: + # each row: MU_XI + z_i * L_Sigma' + tparXiMatDecl <- sprintf("matrix[N, %d] XI_Matrix;", k) + tparXiMatFill <- "XI_Matrix = rep_matrix(MU_XI, N) + z_XI * L_Sigma';" + + # Also expose named column vectors (X, Z, ...) for downstream code + xiVectors <- NULL + for (i in seq_along(xis)) { + xiVectors <- c(xiVectors, sprintf("vector[N] %s = col(XI_Matrix, %d);", xis[[i]], i)) + } + tparXiVectors <- collapse(xiVectors) + + # ---------------- model ---------------- + modLOmega <- "L_Omega ~ lkj_corr_cholesky(1);" + # Non-centered prior: standard normals (vectorised via to_vector) + modZ <- "to_vector(z_XI) ~ std_normal();" + # (Optionally add a weak prior for sqrtD_Phi_free if desired.) + + parameters <- collapse(c(parLOmega, parSqrtDPhi, parZ)) + transformed <- collapse(c( + tparBuildSqrt, tparLSigma, tparMuXi, + tparXiMatDecl, tparXiMatFill, + tparXiVectors + )) + model <- collapse(c(modLOmega, modZ)) + + # Hide internals if you use an exclusion mechanism + EXCLUDE.PARS <<- c(EXCLUDE.PARS, "z_XI", "XI_Matrix", xis) + + list( + parameters = parameters, + transformed_parameters = transformed, + model = model + ) + } + + if (parameterization == "centered") STAN_PAR_XIS <- STAN_PAR_XIS_C + else if (parameterization == "non-centered") STAN_PAR_XIS <- STAN_PAR_XIS_NC + else stop2("Unrecognized value for `parameterization`: ", parameterization) STAN_PAR_ETA <- function(eta) { indeps <- unique(parTable[parTable$lhs == eta & parTable$op == "~", "rhs"]) diff --git a/R/modsem_stan.R b/R/modsem_stan.R index 4c793da2..e4dbe013 100644 --- a/R/modsem_stan.R +++ b/R/modsem_stan.R @@ -30,12 +30,17 @@ modsem_stan <- function(model.syntax = NULL, iter = 2000, warmup = iter / 2, ordered = NULL, + ordered.link = "logit", + parameterization = "centered", ...) { if (is.null(compiled_model)) { stopif(is.null(model.syntax), "One of `model.syntax` or `compiled_model` has to be provided!") # pass ordered through so codegen knows which indicators are ordinal - compiled_model <- compile_stan_model(model.syntax, ordered = ordered) + compiled_model <- compile_stan_model(model.syntax, + ordered = ordered, + ordered.link = ordered.link, + parameterization = parameterization) } else { # normalize ordered for downstream data prep even when compiled_model is provided if (is.null(ordered)) ordered <- character(0) @@ -48,7 +53,9 @@ modsem_stan <- function(model.syntax = NULL, deps <- c(inds, etas) # IMPORTANT: pass ordered to the data builder so it supplies INDICATORS_ and K_ - stan_data <- getStanData(compiled_model = compiled_model, data = data, ordered = ordered) + stan_data <- getStanData(compiled_model = compiled_model, + data = data, + ordered = ordered) message("Sampling Stan model...") fit <- rstan::sampling(object = compiled_model$stan_model, @@ -58,8 +65,9 @@ modsem_stan <- function(model.syntax = NULL, warmup = warmup, pars = compiled_model$info$exclude.pars, include = FALSE, - # adapt_delta = 0.95, - # max_treedepth = 12, + init = 0, + control = list(adapt_delta = 0.95, + max_treedepth = 12), ...) diagnostics <- rstan::summary(fit)$summary @@ -125,13 +133,9 @@ modsem_stan <- function(model.syntax = NULL, diagnostics <- diagnostics[namesSamplesRaw, , drop = FALSE] coefs <- apply(samples, MARGIN = 2, FUN = mean) vcov <- cov(samples) - diagnostics <- diagnostics[colnames(samples), , drop = FALSE] rhat <- diagnostics[, "Rhat"] neff <- diagnostics[, "n_eff"] - # Build parTable (lavaan-like), including thresholds - pars_clean_for_table <- cleanPars(colnames(samples)) # human-friendly labels where relevant - se <- sqrt(diag(vcov)) # handle NaNs and zero SEs From a571ad01c281b5e062a768e70112636c6c5babfa Mon Sep 17 00:00:00 2001 From: kss Date: Sat, 23 Aug 2025 14:12:52 +0200 Subject: [PATCH 32/51] Add RCS to `modsem_stan` --- DESCRIPTION | 2 +- R/create_stan_model.R | 23 ++++++++--------- R/modsem_stan.R | 41 ++++++++++++++++++++++++++++--- man/compile_stan_model.Rd | 12 ++++++++- man/modsem_stan.Rd | 19 +++++++++++++- tests/testthat/test_modsem_stan.R | 30 ++++++++++++++++++++-- 6 files changed, 108 insertions(+), 19 deletions(-) diff --git a/DESCRIPTION b/DESCRIPTION index a3064c1f..7a04fd3d 100644 --- a/DESCRIPTION +++ b/DESCRIPTION @@ -59,7 +59,7 @@ RoxygenNote: 7.3.2 LinkingTo: Rcpp, RcppArmadillo Imports: Rcpp, purrr, stringr, lavaan, rlang, MplusAutomation, nlme, dplyr, mvnfast, stats, fastGHQuad, mvtnorm, ggplot2, parallel, plotly, Deriv, MASS, Amelia, - grDevices, cli, RhpcBLASctl + grDevices, cli, RhpcBLASctl, rstan Depends: R (>= 4.1.0) URL: https://modsem.org diff --git a/R/create_stan_model.R b/R/create_stan_model.R index 96f8a6ab..1b34120d 100644 --- a/R/create_stan_model.R +++ b/R/create_stan_model.R @@ -53,6 +53,8 @@ generated quantities { #' @param compile Should compilation be performed? If \code{FALSE} only the \code{STAN} #' is generated, and not compiled. #' @param force Should compilation of previously compiled models be forced? +#' @param ordered Ordered (i.e., ordinal) variables. +#' @param ordered.link Link function to be used for ordered variables. #' @export compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, ordered = NULL, ordered.link = c("logit", "probit")) { @@ -117,10 +119,10 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, # NEW: normalize and precompute ordinal sets if (is.null(ordered)) ordered <- character(0) - ord_set <- unique(ordered) + ordSet <- unique(ordered) is_allOrdinal_lv <- vapply(lVs, function(lv) { inds <- indsLVs[[lv]] - length(inds) > 0 && all(inds %in% ord_set) + length(inds) > 0 && all(inds %in% ordSet) }, logical(1)) collapse <- function(..., sep = "\n") { @@ -168,8 +170,8 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, tparLines <- character() # Intercepts only for continuous indicators - contInds <- inds[!inds %in% ord_set] - ordInds <- inds[inds %in% ord_set] + contInds <- inds[!inds %in% ordSet] + ordInds <- inds[inds %in% ordSet] fixContVar <- length(contInds) + length(ordInds) <= 1L @@ -650,11 +652,11 @@ getStanData <- function(compiled_model, data, missing = "listwise", ordered = NU } # 4) For each ordered indicator, add integer vector 1..K and K - remap_to_consecutive <- function(x) { + remap2consecutive <- function(x) { # x should be atomic, no NAs expected after listwise handling u <- sort(unique(x)) # Create a 1..K mapping even if labels were not consecutive (e.g., 0/2/5) - map <- setNames(seq_along(u), as.character(u)) + map <- stats::setNames(seq_along(u), as.character(u)) as.integer(unname(map[as.character(x)])) } @@ -664,7 +666,7 @@ getStanData <- function(compiled_model, data, missing = "listwise", ordered = NU } x_raw <- INDICATORS[, ind] # Ensure integer 1..K coding regardless of original labels - x_int <- remap_to_consecutive(x_raw) + x_int <- remap2consecutive(x_raw) K <- as.integer(max(x_int)) stan_data[[sprintf("ORD_INDICATOR_%s", ind)]] <- x_int @@ -678,9 +680,9 @@ getStanData <- function(compiled_model, data, missing = "listwise", ordered = NU # General Stan Model for estimating SEMs with interaction terms STAN_MODEL_GENERAL <- " // sem_latent_interaction.stan (updated) -// SEM with three latent factors (X, Z, Y) and latent interaction X×Z → Y +// SEM with three latent factors (X, Z, Y) and latent interaction X*Z -> Y // Identification: first loading fixed to 1; *latent means constrained to 0*. -// All nine indicator intercepts τ are now free. +// All nine indicator intercepts tau are now free. functions { vector getIthProduct(int i, int N_LVS, int N, matrix PRODUCTS, matrix ETA) { @@ -1032,8 +1034,7 @@ specifyModelSTAN <- function(syntax = NULL, numAllInds <- length(allInds) # clean data - data <- cleanAndSortData(data, allIndsXis, allIndsEtas, impute.na = impute.na) - + data <- prepDataModsemDA(data, allIndsXis, allIndsEtas)$data.full # measurement model x listLambda <- constructLambda(lVs, indsLVs, parTable = parTable, diff --git a/R/modsem_stan.R b/R/modsem_stan.R index 8eeed390..7396c338 100644 --- a/R/modsem_stan.R +++ b/R/modsem_stan.R @@ -21,7 +21,21 @@ #' of warmup iterations should be smaller than \code{iter} and the #' default is \code{iter/2}. #' +#' @param ordered Ordered (i.e., ordinal) variables. +#' +#' @param rcs Should latent variable indicators be replaced with reliability-corrected +#' single item indicators instead? See \code{\link{relcorr_single_item}}. +#' +#' @param rcs.choose Which latent variables should get their indicators replaced with +#' reliability-corrected single items? It is passed to \code{\link{relcorr_single_item}} +#' as the \code{choose} argument. +#' +#' @param rcs.scale.corrected Should reliability-corrected items be scale-corrected? If \code{TRUE} +#' reliability-corrected single items are corrected for differences in factor loadings between +#' the items. Default is \code{TRUE}. +#' #' @param ... Arguments passed to \code{stan::sampling}. +#' #' @export modsem_stan <- function(model.syntax = NULL, data = NULL, @@ -30,14 +44,35 @@ modsem_stan <- function(model.syntax = NULL, iter = 2000, warmup = iter / 2, ordered = NULL, + rcs = FALSE, + rcs.choose = NULL, + rcs.scale.corrected = TRUE, ...) { - if (is.null(compiled_model)) { + if (rcs) { # use reliability-correct single items? + corrected <- relcorr_single_item( + syntax = model.syntax, + data = data, + choose = rcs.choose, + scale.corrected = rcs.scale.corrected, + warn.lav = FALSE + ) + + model.syntax <- corrected$syntax + data <- corrected$data + } + + stopif(is.null(model.syntax) && rcs, + "`model.syntax` argument is needed when `rcs=TRUE`!") + + if (is.null(compiled_model) || rcs) { stopif(is.null(model.syntax), "One of `model.syntax` or `compiled_model` has to be provided!") # pass ordered through so codegen knows which indicators are ordinal compiled_model <- compile_stan_model(model.syntax, ordered = ordered) + } else { - # normalize ordered for downstream data prep even when compiled_model is provided + # normalize ordered for downstream data + # prep even when compiled_model is provided if (is.null(ordered)) ordered <- character(0) } @@ -124,7 +159,7 @@ modsem_stan <- function(model.syntax = NULL, # Summaries diagnostics <- diagnostics[namesSamplesRaw, , drop = FALSE] coefs <- apply(samples, MARGIN = 2, FUN = mean) - vcov <- cov(samples) + vcov <- stats::cov(samples) rhat <- diagnostics[, "Rhat"] neff <- diagnostics[, "n_eff"] diff --git a/man/compile_stan_model.Rd b/man/compile_stan_model.Rd index edea2ba3..55ac851a 100644 --- a/man/compile_stan_model.Rd +++ b/man/compile_stan_model.Rd @@ -4,7 +4,13 @@ \alias{compile_stan_model} \title{Compile \code{STAN} model based on a \code{lavaan} model} \usage{ -compile_stan_model(model.syntax, compile = TRUE, force = FALSE) +compile_stan_model( + model.syntax, + compile = TRUE, + force = FALSE, + ordered = NULL, + ordered.link = c("logit", "probit") +) } \arguments{ \item{model.syntax}{\code{lavaan} syntax.} @@ -13,6 +19,10 @@ compile_stan_model(model.syntax, compile = TRUE, force = FALSE) is generated, and not compiled.} \item{force}{Should compilation of previously compiled models be forced?} + +\item{ordered}{Ordered (i.e., ordinal) variables.} + +\item{ordered.link}{Link function to be used for ordered variables.} } \description{ Compile \code{STAN} model based on a \code{lavaan} model diff --git a/man/modsem_stan.Rd b/man/modsem_stan.Rd index f1b66574..894ff93b 100644 --- a/man/modsem_stan.Rd +++ b/man/modsem_stan.Rd @@ -11,6 +11,10 @@ modsem_stan( chains = 2, iter = 2000, warmup = iter/2, + ordered = NULL, + rcs = FALSE, + rcs.choose = NULL, + rcs.scale.corrected = TRUE, ... ) } @@ -19,7 +23,7 @@ modsem_stan( \item{data}{A dataframe with observed variables used in the model.} -\item{compiled_model}{Compiled model from \code{\link{compile_stan_model}}. Saves time if the +\item{compiled_model}{Compiled model from \code{\link{compile_stan_model}}. Saves time if the same \code{model.syntax} has to be reused multiple times.} \item{chains}{A positive integer specifying the number of Markov chains. @@ -36,6 +40,19 @@ warmup samples should not be used for inference). The number of warmup iterations should be smaller than \code{iter} and the default is \code{iter/2}.} +\item{ordered}{Ordered (i.e., ordinal) variables.} + +\item{rcs}{Should latent variable indicators be replaced with reliability-corrected +single item indicators instead? See \code{\link{relcorr_single_item}}.} + +\item{rcs.choose}{Which latent variables should get their indicators replaced with +reliability-corrected single items? It is passed to \code{\link{relcorr_single_item}} +as the \code{choose} argument.} + +\item{rcs.scale.corrected}{Should reliability-corrected items be scale-corrected? If \code{TRUE} +reliability-corrected single items are corrected for differences in factor loadings between +the items. Default is \code{TRUE}.} + \item{...}{Arguments passed to \code{stan::sampling}.} } \description{ diff --git a/tests/testthat/test_modsem_stan.R b/tests/testthat/test_modsem_stan.R index e7ac3ff2..0830a74f 100644 --- a/tests/testthat/test_modsem_stan.R +++ b/tests/testthat/test_modsem_stan.R @@ -119,11 +119,16 @@ if (TEST_STAN) { compiled_model.3way <- compile_stan_model(m.3way) # Fit the model based on the compiled STAN code - fit.3way <- modsem_stan( - compiled_model = compiled_model.3way, + fit.3way <- modsem_stan(compiled_model = compiled_model.3way, data = data.3way, chains = 2, iter = 10000 # More iterations should yield more stable estimates + + fit.3way <- modsem_stan(model.syntax = m.3way, + data = data.3way, + rcs = TRUE, + chains = 2, + iter = 10000 # More iterations should yield more stable estimates ) #> Regressions: #> Estimate Std.Error z.value P(>|z|) @@ -215,4 +220,25 @@ if (TEST_STAN) { print(modsemParTable(thresholds.table)) testthat::expect_true(sum(thresholds.table$ok) / NROW(thresholds.table) >= 0.95) # 95% confidence + + # ---------------------------------------------------------------------------- + # Reliability corrected single items + # ---------------------------------------------------------------------------- + + m1 <- ' + X =~ x1 + x2 + x3 + Z =~ z1 + z2 + z3 + Y =~ y1 + y2 + y3 + + Y ~ X + Z + X:Z + ' + + # First we compile the STAN model, this can be slow + # and is therefore done once, such that the compiled + # STAN code can be reused for the same model syntax later + # Fit the model based on the compiled STAN code + fit.2way <- modsem_stan(model.syntax = m1, rcs = TRUE, + data = oneInt, iter = 2000, chains = 2) + # We can get a summary + summary(fit.2way) } From ef965e2625411a944553707f9d261405288e71d7 Mon Sep 17 00:00:00 2001 From: kss Date: Sat, 23 Aug 2025 14:13:30 +0200 Subject: [PATCH 33/51] Rename `R/create_stan_model.R` -> `R/model_stan.R` --- R/{create_stan_model.R => model_stan.R} | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename R/{create_stan_model.R => model_stan.R} (100%) diff --git a/R/create_stan_model.R b/R/model_stan.R similarity index 100% rename from R/create_stan_model.R rename to R/model_stan.R From bde7994886a8461a01607fb350feb55d657771fb Mon Sep 17 00:00:00 2001 From: kss Date: Sat, 23 Aug 2025 14:32:55 +0200 Subject: [PATCH 34/51] Re-factor some test-code --- tests/testthat/test_modsem_stan.R | 25 +++++++++++++++++-------- 1 file changed, 17 insertions(+), 8 deletions(-) diff --git a/tests/testthat/test_modsem_stan.R b/tests/testthat/test_modsem_stan.R index 0830a74f..7857438b 100644 --- a/tests/testthat/test_modsem_stan.R +++ b/tests/testthat/test_modsem_stan.R @@ -122,14 +122,7 @@ if (TEST_STAN) { fit.3way <- modsem_stan(compiled_model = compiled_model.3way, data = data.3way, chains = 2, - iter = 10000 # More iterations should yield more stable estimates - - fit.3way <- modsem_stan(model.syntax = m.3way, - data = data.3way, - rcs = TRUE, - chains = 2, - iter = 10000 # More iterations should yield more stable estimates - ) + iter = 10000) # More iterations should yield more stable estimates #> Regressions: #> Estimate Std.Error z.value P(>|z|) #> Y ~ @@ -144,6 +137,22 @@ if (TEST_STAN) { summary(fit.3way) standardized_estimates(fit.3way) parameter_estimates(fit.3way) + + fit.3way.rcs <- modsem_stan(model.syntax = m.3way, + data = data.3way, + rcs = TRUE, + chains = 2, + iter = 10000) + #> Regressions: (n = 1400) + #> Estimate Std.Error z.value P(>|z|) R.hat n.eff + #> Y ~ + #> X 1.269 0.094 13.448 0.000 1.015 342 + #> Z 0.432 0.070 6.167 0.000 1.013 351 + #> W 0.749 0.070 10.757 0.000 1.007 753 + #> X:Z 1.300 0.096 13.509 0.000 1.008 536 + #> X:W 0.753 0.105 7.198 0.000 1.011 511 + #> Z:W 0.265 0.091 2.896 0.004 1.013 319 + #> X:Z:W 2.229 0.054 40.929 0.000 1.000 7409 # ------------------------------------------------------------------------------ From 23f97f8daeaccba38c843f16e9f732e537eea30a Mon Sep 17 00:00:00 2001 From: kss Date: Sat, 23 Aug 2025 14:41:04 +0200 Subject: [PATCH 35/51] Fix typo (`ord_set`->`ordSet`) --- R/model_stan.R | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/R/model_stan.R b/R/model_stan.R index 40a23b38..d2273ff2 100644 --- a/R/model_stan.R +++ b/R/model_stan.R @@ -175,8 +175,8 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, tparLines <- character() # Intercepts only for continuous indicators - contInds <- inds[!inds %in% ord_set] - ordInds <- inds[inds %in% ord_set] + contInds <- inds[!inds %in% ordSet] + ordInds <- inds[inds %in% ordSet] fixContVar <- length(contInds) + length(ordInds) <= 1L From 161ad7b3d28aa21742f6058ce49bc97365feb52f Mon Sep 17 00:00:00 2001 From: kss2k Date: Tue, 16 Sep 2025 08:33:28 +0200 Subject: [PATCH 36/51] Add `isStan` variable --- R/standardized_solution.R | 11 ++++++----- 1 file changed, 6 insertions(+), 5 deletions(-) diff --git a/R/standardized_solution.R b/R/standardized_solution.R index 7dd59d76..09365af1 100644 --- a/R/standardized_solution.R +++ b/R/standardized_solution.R @@ -10,13 +10,12 @@ transformedSolutionCOEFS <- function(object, stopif(!inherits(object, c("modsem_da", "modsem_pi", "lavaan", "modsem_mplus", "modsem_stan")), "The model must be of class `modsem_da`, `modsem_mplus`, `modsem_pi`, `modsem_stan` or `lavaan`!") - isLav <- inherits(object, "lavaan") + isStan <- inherits(object, "modsem_stan") isLav <- inherits(object, "lavaan") isDA <- inherits(object, "modsem_da") isMplus <- inherits(object, "modsem_mplus") - isLavStan <- isLav || isStan - if (isLavStan) { + if (isLav) { vcov <- lavaan::vcov # load vcov and coef from lavaan if dealing with a lavaan object coef <- lavaan::coef } @@ -26,11 +25,13 @@ transformedSolutionCOEFS <- function(object, if (!NROW(parTable)) return(NULL) - if (isDA || isMplus) { + if (!"label" %in% names(parTable)) + parTable$label <- "" + + if (isDA || isMplus || isStan) { parTable <- parTable[c("lhs", "op", "rhs", "label", "est", "std.error")] } else { # modsem_pi or lavaan - if (!"label" %in% names(parTable)) parTable$label <- "" if (!"se" %in% names(parTable)) parTable$se <- NA parTable <- parTable[c("lhs", "op", "rhs", "label", "est", "se")] From 4420fce855da592c3a7147145ff871a47952173b Mon Sep 17 00:00:00 2001 From: Kjell S Slupphaug Date: Wed, 17 Sep 2025 19:04:26 +0200 Subject: [PATCH 37/51] Update README.md --- README.md | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/README.md b/README.md index 51ba8a74..61329a73 100644 --- a/README.md +++ b/README.md @@ -49,14 +49,15 @@ Product Indicator (PI) and Distribution Analytic (DA) approaches. ## Distribution Analytic (DA) Approaches - `"lms"` = The Latent Moderated Structural equations (LMS) approach, see the [vignette](https://modsem.org/articles/lms_qml.html) - `"qml"` = The Quasi Maximum Likelihood (QML) approach, see the [vignette](https://modsem.org/articles/lms_qml.html) -- `"mplus"` - - estimates model through Mplus, if it is installed +- `"mplus"` = `Mplus` + - estimates model through `Mplus`, if it is installed # Examples ## Elementary Interaction Model (Kenny & Judd, 1984; Jaccard & Wan, 1995) ```R library(modsem) + m1 <- ' # Outer Model X =~ x1 + x2 +x3 From dc807b6bf53411641d7fff6964f212059424ef05 Mon Sep 17 00:00:00 2001 From: kss2k Date: Tue, 23 Sep 2025 12:02:29 +0200 Subject: [PATCH 38/51] `format(scientifc=FALSE)` not `as.character()` in `twostep.modsem_da()` --- R/twostep.R | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/R/twostep.R b/R/twostep.R index 6ae0c8b3..383f153c 100644 --- a/R/twostep.R +++ b/R/twostep.R @@ -128,7 +128,7 @@ twostepDA <- function(model.syntax, data, method = "lms", zero.tol = 1e-12, lhs = parTableCFA$lhs, op = parTableCFA$op, rhs = parTableCFA$rhs, - mod = as.character(parTableCFA$est) + mod = format(parTableCFA$est, scientific = FALSE) ) if ("label" %in% names(parTableCFA)) { From 5aedad9c454f80df68c489ebce2ac44a21ee9482 Mon Sep 17 00:00:00 2001 From: kss2k Date: Tue, 23 Sep 2025 13:50:37 +0200 Subject: [PATCH 39/51] Update `test_sam.R` after changes in last `lavaan` release --- tests/testthat/test_sam.R | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/tests/testthat/test_sam.R b/tests/testthat/test_sam.R index 98c27195..086672b4 100644 --- a/tests/testthat/test_sam.R +++ b/tests/testthat/test_sam.R @@ -1,4 +1,5 @@ devtools::load_all() +library(lavaan) m1 <- ' X =~ x1 + x2 + x3 @@ -7,9 +8,6 @@ Z =~ z1 + z2 + z3 Y ~ X + Z + X:Z ' -sam <- \(...) testthat::expect_warning(lavaan::sam(...), - regex = "*switching to naive*") - est <- sam(m1, oneInt) parameter_estimates(est) From 1097019d155d8a778bd2a9b8e2b9c30e5e648346 Mon Sep 17 00:00:00 2001 From: kss2k Date: Wed, 24 Sep 2025 21:41:21 +0200 Subject: [PATCH 40/51] Set `immediate. = FALSE` in `warnif` call --- R/check_model_da.R | 3 ++- 1 file changed, 2 insertions(+), 1 deletion(-) diff --git a/R/check_model_da.R b/R/check_model_da.R index 577ce5f9..0991d7ea 100644 --- a/R/check_model_da.R +++ b/R/check_model_da.R @@ -303,7 +303,8 @@ checkCovMatrices <- function(expected.matrices) { warnif( !ok, sprintf("Covariance matrix of %s is not positive definite!\n", type.long), - sprintf("Use `modsem_inspect(fit, \"cov.%s\")` to investigate.", type) + sprintf("Use `modsem_inspect(fit, \"cov.%s\")` to investigate.", type), + immediate. = FALSE ) } From 79c6d7f47549c91f3b22060f4f1319420fad4245 Mon Sep 17 00:00:00 2001 From: kss2k Date: Thu, 25 Sep 2025 08:43:45 +0200 Subject: [PATCH 41/51] Correctly center interactions for quad-terms in `centerInteractions` --- R/standardized_solution.R | 4 ++-- R/utils.R | 24 +++++++++++++----------- 2 files changed, 15 insertions(+), 13 deletions(-) diff --git a/R/standardized_solution.R b/R/standardized_solution.R index 09365af1..923a1035 100644 --- a/R/standardized_solution.R +++ b/R/standardized_solution.R @@ -507,12 +507,12 @@ centerInteractionsCOEFS <- function(parTable, COEFS, center.means = TRUE, if (length(labelGammaX) == 1) { gammaX <- COEFS[[labelGammaX]] - COEFS[[labelGammaX]] <- gammaX + gammaXZ * meanZ + COEFS[[labelGammaX]] <- gammaX + gammaXZ * meanZ } if (length(labelGammaZ) == 1) { gammaZ <- COEFS[[labelGammaZ]] - COEFS[[labelGammaZ]] <- gammaZ + gammaXZ * meanX + COEFS[[labelGammaZ]] <- gammaZ + gammaXZ * meanX } } diff --git a/R/utils.R b/R/utils.R index 5c03b800..75a3dfde 100644 --- a/R/utils.R +++ b/R/utils.R @@ -325,21 +325,23 @@ centerInteractions <- function(parTable, center.means = TRUE) { X <- XZ[[1]] Z <- XZ[[2]] - meanX <- getMean(X, parTable) - meanZ <- getMean(Z, parTable) - + meanX <- getMean(X, parTable) + meanZ <- getMean(Z, parTable) gammaXZ <- rows[i, "est"] - gamma <- parTable[parTable$lhs == Y & parTable$op == "~", , drop = FALSE] - - gammaX <- gamma[gamma$rhs == X, "est"] + gammaXZ * meanZ - gammaZ <- gamma[gamma$rhs == Z, "est"] + gammaXZ * meanX - parTable[parTable$lhs == Y & parTable$op == "~" & - parTable$rhs == X, "est"] <- gammaX + isStructY <- parTable$lhs == Y & parTable$op == "~" + isStructRowX <- parTable$rhs == X & isStructY + isStructRowZ <- parTable$rhs == Z & isStructY - parTable[parTable$lhs == Y & parTable$op == "~" & - parTable$rhs == Z, "est"] <- gammaZ + if (any(isStructRowX)) { + gammaX <- parTable[isStructRowX, "est"] + gammaXZ * meanZ + parTable[isStructRowX, "est"] <- gammaX + } + if (any(isStructRowZ)) { + gammaZ <- parTable[isStructRowZ, "est"] + gammaXZ * meanX + parTable[isStructRowZ, "est"] <- gammaZ + } } if (center.means) { From 285c67588fca90369829e4110b48140b78b3a82e Mon Sep 17 00:00:00 2001 From: Kjell S Slupphaug Date: Thu, 25 Sep 2025 10:42:19 +0200 Subject: [PATCH 42/51] Better optimization of starting parameters of latent mean structures (#87) * Better optimization of starting parameters of latent mean structures * clean up some code --- R/optimize_da.R | 32 +++++++++++++++++++++++++++----- R/utils_da.R | 25 ++++++++++++++++++++++--- 2 files changed, 49 insertions(+), 8 deletions(-) diff --git a/R/optimize_da.R b/R/optimize_da.R index dba9eeeb..ac52356a 100644 --- a/R/optimize_da.R +++ b/R/optimize_da.R @@ -326,6 +326,7 @@ parameterEstimatesLavSAM <- function(syntax, parTable <- modsemify(syntax) higherOrderLVs <- getHigherOrderLVs(parTable) isHigherOrder <- length(higherOrderLVs) > 0L + isNonCentered <- isNonCenteredParTable(parTable) lowerOrderInds <- unlist(getIndsLVs(parTable, lVs = higherOrderLVs, isOV = FALSE)) @@ -386,12 +387,19 @@ parameterEstimatesLavSAM <- function(syntax, ... )) - if (isHigherOrder) { + if (isHigherOrder || isNonCentered) { # use factor scores instead # using `sam.method="fsr"` doesn't work for this purpose (yet) # so we do it manually instead - dataSAM <- lavaan::lavPredict(fitCFA) - structvars <- colnames(dataSAM) + dataSAM <- tryCatch(lavaan::lavPredict(fitCFA, transform = TRUE), + error = \(e) lavaan::lavPredict(fitCFA)) + + structvars <- unique(c( + colnames(dataSAM), + parTable[grepl(":", parTable$lhs), "lhs"], + parTable[grepl(":", parTable$rhs), "rhs"] + )) + parTableInner <- parTable[parTable$lhs %in% structvars & parTable$rhs %in% structvars & parTable$op != "=~", , drop = FALSE] @@ -418,7 +426,7 @@ parameterEstimatesLavSAM <- function(syntax, )) measr <- getCFARows(lavaan::parameterEstimates(fitCFA)) - struct <- suppressWarnings(centered_estimates(fitSAM)) + struct <- lavaan::parameterEstimates(fitSAM) addlab <- \(pt) if (!"label" %in% colnames(pt)) {pt$label <- ""; pt} else pt cols.x <- c("lhs", "op", "rhs") @@ -427,7 +435,21 @@ parameterEstimatesLavSAM <- function(syntax, parTableFull <- rbind(addlab(measr)[cols], addlab(struct)[cols]) parTableFull <- parTableFull[!duplicated(parTableFull[cols.x]), , drop = FALSE] - parTableFull <- recalcInterceptsY(parTableFull) + + # if (!isNonCentered && !isHigherOrder) # if latent mean structure is not included + parTableFull <- recalcInterceptsY(parTableFull) list(fit = fitCFA, parTable = parTableFull) } + + +isNonCenteredParTable <- function(parTable, tol = 1e-10) { + intTerms <- unique(parTable[grepl(":", parTable$rhs), "rhs"]) + intVars <- unique(unlist(stringr::str_split(intTerms, pattern = ":"))) + + parTableProto <- parTable[parTable$op %in% c("~", "~1"), , drop = FALSE] + parTableProto$est <- 1 + means <- getMeans(intVars, parTableProto) + + any(abs(means) > tol) +} diff --git a/R/utils_da.R b/R/utils_da.R index 23472bf5..a511df4e 100644 --- a/R/utils_da.R +++ b/R/utils_da.R @@ -1056,13 +1056,29 @@ higherOrderMeasr2Struct <- function(parTable) { recalcInterceptsY <- function(parTable) { # fix intercept for indicators of endogenous variables, based on means # of interaction terms - parTable <- meanInteractions(parTable, ignore.means = TRUE) + # intercepts are from a linear (CFA) model, combined with a non-linear SAM + # structural model. We want the mean structure to be coherent with those + # from a full non-linear model + nlin.intercepts <- grepl(":", parTable$lhs) & parTable$op == "~1" + parTable.nlin <- meanInteractions(parTable, ignore.means = TRUE) + parTable.lin <- parTable[!nlin.intercepts, , drop = FALSE] # remove non linear intercepts + # from the SAM structural model for (eta in getEtas(parTable)) { - meta <- getMean(eta, parTable = parTable) + meta.lin <- getMean(eta, parTable = parTable.lin) + meta.nlin <- getMean(eta, parTable = parTable.nlin) + inds <- parTable[parTable$lhs == eta & parTable$op == "=~", "rhs"] inds <- unique(inds) + ieta <- getIntercept(eta, parTable) + + if (ieta != 0) { + cond <- parTable$op == "~1" & parTable$lhs == eta + parTable[cond, "est"] <- parTable[cond, "est"] - (meta.nlin - meta.lin) # correct for the difference + meta.lin <- getMean(eta, parTable = parTable.nlin) # update for the rest of the code + } + for (ind in inds) { cond <- parTable$lhs == ind & parTable$op == "~1" lambda <- parTable[parTable$lhs == eta & @@ -1072,7 +1088,10 @@ recalcInterceptsY <- function(parTable) { if (!length(lambda) || !any(cond)) next - parTable[cond, "est"] <- parTable[cond, "est"] - lambda * meta + intercept <- parTable[cond, "est"] + mu.lin <- intercept + lambda * meta.lin + mu.nlin <- intercept + lambda * meta.nlin + parTable[cond, "est"] <- intercept - (mu.nlin - mu.lin) # correct for the difference } } From 2c1d5b3d8b6376d979d904ff7648ddeec7fb8ea9 Mon Sep 17 00:00:00 2001 From: kss Date: Sun, 28 Sep 2025 13:53:08 +0200 Subject: [PATCH 43/51] Better calculation of centered estimates for SAM models --- R/optimize_da.R | 12 ------------ R/standardized_solution.R | 2 +- R/utils.R | 14 ++++++++++++++ tests/testthat/test_sam.R | 5 ++--- 4 files changed, 17 insertions(+), 16 deletions(-) diff --git a/R/optimize_da.R b/R/optimize_da.R index ac52356a..7baece43 100644 --- a/R/optimize_da.R +++ b/R/optimize_da.R @@ -441,15 +441,3 @@ parameterEstimatesLavSAM <- function(syntax, list(fit = fitCFA, parTable = parTableFull) } - - -isNonCenteredParTable <- function(parTable, tol = 1e-10) { - intTerms <- unique(parTable[grepl(":", parTable$rhs), "rhs"]) - intVars <- unique(unlist(stringr::str_split(intTerms, pattern = ":"))) - - parTableProto <- parTable[parTable$op %in% c("~", "~1"), , drop = FALSE] - parTableProto$est <- 1 - means <- getMeans(intVars, parTableProto) - - any(abs(means) > tol) -} diff --git a/R/standardized_solution.R b/R/standardized_solution.R index 923a1035..622ff029 100644 --- a/R/standardized_solution.R +++ b/R/standardized_solution.R @@ -38,7 +38,7 @@ transformedSolutionCOEFS <- function(object, parTable <- rename(parTable, se = "std.error") } - if (center && (isLav || isDA || isMplus)) { # not relevant for modsem_pi + if (center && isNonCenteredParTable(parTable) && (isLav || isDA || isMplus)) { # not relevant for modsem_pi warnif(isLav, "Replacing interaction (co-)", "variances when centering the model!\n", immediate. = FALSE) diff --git a/R/utils.R b/R/utils.R index 75a3dfde..f28d43f5 100644 --- a/R/utils.R +++ b/R/utils.R @@ -716,3 +716,17 @@ is.invertible <- function(M) { tryCatch(tolower(.Platform$OS.type) == "unix", error = \(e) .onFail) } + + +isNonCenteredParTable <- function(parTable, tol = 1e-10) { + intTerms <- unique(parTable[grepl(":", parTable$rhs), "rhs"]) + intVars <- unique(unlist(stringr::str_split(intTerms, pattern = ":"))) + + parTableProto <- parTable[parTable$op %in% c("~", "~1"), , drop = FALSE] + + if (!"est" %in% colnames(parTableProto)) + parTableProto$est <- 1 + + means <- getMeans(intVars, parTableProto) + any(abs(means) > tol) +} diff --git a/tests/testthat/test_sam.R b/tests/testthat/test_sam.R index 086672b4..e587f7ee 100644 --- a/tests/testthat/test_sam.R +++ b/tests/testthat/test_sam.R @@ -11,9 +11,8 @@ Y ~ X + Z + X:Z est <- sam(m1, oneInt) parameter_estimates(est) -wrap <- \(expr) (testthat::expect_warning(expr, regex = "Replacing.*")) -wrap(centered_estimates(est)) -wrap(standardized_estimates(est)) +centered_estimates(est) +standardized_estimates(est) plot_interaction(x = "X", z = "Z", y = "Y", xz = "X:Z", vals_z = c(-0.5, 0.5), model = est) From 139825569631197c272e44e7318de765824f190f Mon Sep 17 00:00:00 2001 From: kss Date: Sun, 28 Sep 2025 14:32:13 +0200 Subject: [PATCH 44/51] Always add variances to Mplus/LMS/QML when standardizing --- R/standardized_solution.R | 16 +++++++++++----- R/utils.R | 12 ++++++++++++ 2 files changed, 23 insertions(+), 5 deletions(-) diff --git a/R/standardized_solution.R b/R/standardized_solution.R index 622ff029..ced27732 100644 --- a/R/standardized_solution.R +++ b/R/standardized_solution.R @@ -38,14 +38,20 @@ transformedSolutionCOEFS <- function(object, parTable <- rename(parTable, se = "std.error") } - if (center && isNonCenteredParTable(parTable) && (isLav || isDA || isMplus)) { # not relevant for modsem_pi - warnif(isLav, "Replacing interaction (co-)", - "variances when centering the model!\n", immediate. = FALSE) - + if (center && (isLav || isDA || isMplus)) { # not relevant for modsem_pi if (isDA || isMplus) parTable <- meanInteractions(parTable) # get means for interaction terms - parTable <- var_interactions(parTable, ignore.means = TRUE, mc.reps = mc.reps) + # if we had to center the solution, we have to replace the existing variances + # if we're using LMS/QML/Mplus there aren't any variances + isNonCentered <- isNonCenteredParTable(parTable) + missingVars <- !hasIntTermVariances(parTable) + addVariances <- (isNonCentered && isLav) || isMplus || isDA || missingVars + + if (addVariances) { + warnif(isLav, "Replacing interaction (co-)", "variances when centering the model!\n", immediate. = FALSE) + parTable <- var_interactions(parTable, ignore.means = TRUE, mc.reps = mc.reps) + } } lVs <- getLVs(parTable) diff --git a/R/utils.R b/R/utils.R index f28d43f5..8fe1e71c 100644 --- a/R/utils.R +++ b/R/utils.R @@ -730,3 +730,15 @@ isNonCenteredParTable <- function(parTable, tol = 1e-10) { means <- getMeans(intVars, parTableProto) any(abs(means) > tol) } + + +hasIntTermVariances <- function(parTable) { + # To pass the function, we need (at least) variances for all of the + # interaction terms. Optimally we also have covariances + intTerms <- unique(parTable[grepl(":", parTable$rhs), "rhs"]) + + hasVariance <- \(xz) + any(parTable$lhs == xz & parTable$rhs == xz & parTable$op == "~~") + + all(vapply(intTerms, FUN.VALUE = logical(1L), FUN = hasVariance)) +} From 0911de1acf3b8217136cbc5ea4536f52a99dcb83 Mon Sep 17 00:00:00 2001 From: kss Date: Sun, 28 Sep 2025 14:33:11 +0200 Subject: [PATCH 45/51] Add test for non-centered solutions using `lavaan::sam()` --- tests/testthat/test_sam.R | 20 ++++++++++++++++++++ 1 file changed, 20 insertions(+) diff --git a/tests/testthat/test_sam.R b/tests/testthat/test_sam.R index e587f7ee..03467a1c 100644 --- a/tests/testthat/test_sam.R +++ b/tests/testthat/test_sam.R @@ -18,3 +18,23 @@ plot_interaction(x = "X", z = "Z", y = "Y", xz = "X:Z", vals_z = c(-0.5, 0.5), model = est) plot_jn(x = "X", z = "Z", y = "Y", model = est) plot_surface(x = "X", z = "Z", y = "Y", model = est) + + +m2 <- ' +X =~ x1 + x2 + x3 +Y =~ y1 + y2 + y3 +Z =~ z1 + z2 + z3 +Y ~ X + Z + X:Z + +X ~ 1 +Z ~ 1 +Y ~ 1 +x1~0*1 +z1~0*1 +y1~0*1 +' + +est_nc <- sam(m2, oneInt) +wrap <- \(expr) (testthat::expect_warning(expr, regex = "Replacing.*")) +wrap(centered_estimates(est_nc)) +wrap(standardized_estimates(est_nc)) From ef171b6abae090e2995d5e67a34c1abbd267e189 Mon Sep 17 00:00:00 2001 From: Kjell S Slupphaug Date: Sun, 28 Sep 2025 17:22:54 +0200 Subject: [PATCH 46/51] Cleaner calculation of Binv in `src/equations_lms.cpp` (#88) * Cleaner calculation of Binv in `src/equations_lms.cpp` * Better calculation of mu.ov with uncentered solution --- R/utils_da.R | 77 ++++++++++++++++++++++++++++++++++++------- src/equations_lms.cpp | 26 +++------------ 2 files changed, 69 insertions(+), 34 deletions(-) diff --git a/R/utils_da.R b/R/utils_da.R index a511df4e..036b32fc 100644 --- a/R/utils_da.R +++ b/R/utils_da.R @@ -716,11 +716,22 @@ isPureEta <- function(eta, parTable) { } -calcExpectedMatricesDA <- function(parTable, xis = NULL, etas = NULL, intTerms = NULL) { +getCoefMatricesDA <- function(parTable, + xis = NULL, + etas = NULL, + intTerms = NULL, + centered = TRUE) { + parTable <- removeInteractionVariances(parTable) - parTable <- centerInteractions(parTable, center.means = FALSE) |> - var_interactions(ignore.means = TRUE) |> - meanInteractions(ignore.means = TRUE) + + if (centered) { + parTable <- centerInteractions(parTable, center.means = FALSE) |> + var_interactions(ignore.means = TRUE) |> + meanInteractions(ignore.means = TRUE) + } else { + parTable <- var_interactions(parTable, ignore.means = FALSE) |> + meanInteractions(ignore.means = FALSE) + } if (is.null(intTerms)) intTerms <- unique(parTable[grepl(":", parTable$rhs), "rhs"]) @@ -800,8 +811,38 @@ calcExpectedMatricesDA <- function(parTable, xis = NULL, etas = NULL, intTerms = beta0 <- createBeta(xis) tau <- createBeta(inds) - # Sigma ---------------------------------------------------------------------- Binv <- solve(diag(nrow(gammaEta)) - gammaEta) + + list(gammaXi = gammaXi, gammaEta = gammaEta, Binv = Binv, psi = psi, + phi = phi, theta = theta, alpha = alpha, beta0 = beta0, tau = tau, + lambda = lambda, inds = inds, xis = xis, etas = etas, lVs = lVs) +} + + +calcExpectedMatricesDA <- function(parTable, xis = NULL, etas = NULL, intTerms = NULL) { + matricesCentered <- getCoefMatricesDA(parTable, xis = xis, etas = etas, + intTerms = intTerms, centered = TRUE) + matricesNonCentered <- getCoefMatricesDA(parTable, xis = xis, etas = etas, + intTerms = intTerms, centered = FALSE) + + lVs <- matricesCentered$lVs + xis <- matricesCentered$xis + etas <- matricesCentered$etas + inds <- matricesCentered$inds + + # Sigma ---------------------------------------------------------------------- + # Uses centered solution + gammaXi <- matricesCentered$gammaXi + gammaEta <- matricesCentered$gammaEta + phi <- matricesCentered$phi + psi <- matricesCentered$psi + Binv <- matricesCentered$Binv + tau <- matricesCentered$tau + lambda <- matricesCentered$lambda + alpha <- matricesCentered$alpha + beta0 <- matricesCentered$beta0 + theta <- matricesCentered$theta + covEtaEta <- Binv %*% (gammaXi %*% phi %*% t(gammaXi) + psi) %*% t(Binv) covEtaXi <- Binv %*% gammaXi %*% phi sigma.lv <- rbind(cbind(phi, t(covEtaXi)), @@ -815,13 +856,8 @@ calcExpectedMatricesDA <- function(parTable, xis = NULL, etas = NULL, intTerms = sigma.all <- rbind(cbind(sigma.lv, sigma.ov.lv), cbind(sigma.lv.ov, sigma.ov)) - # Mu ------------------------------------------------------------------------- - mu.eta <- Binv %*% (alpha + gammaXi %*% beta0) - mu.lv <- rbind(beta0, mu.eta) - mu.ov <- tau + lambda %*% mu.lv - mu.all <- rbind(mu.lv, mu.ov) - # Residuals and R^2 ---------------------------------------------------------- + # Uses centered solution eta.all <- c(etas, inds) var.eta.all <- diag(sigma.all[eta.all, eta.all, drop = FALSE]) res.eta.all <- c(diag(psi), diag(theta)) @@ -832,7 +868,24 @@ calcExpectedMatricesDA <- function(parTable, xis = NULL, etas = NULL, intTerms = res.all <- 1 - r2.all res.lv <- res.all[etas] - res.ov <- res.all[inds] + res.ov <- res.all[inds] + + # Mu ------------------------------------------------------------------------- + # Uses uncentered solution + gammaXiNc <- matricesNonCentered$gammaXi + gammaEtaNc <- matricesNonCentered$gammaEta + phiNc <- matricesNonCentered$phi + psiNc <- matricesNonCentered$psi + BinvNc <- matricesNonCentered$Binv + tauNc <- matricesNonCentered$tau + lambdaNc <- matricesNonCentered$lambda + alphaNc <- matricesNonCentered$alpha + beta0Nc <- matricesNonCentered$beta0 + + mu.eta <- BinvNc %*% (alphaNc + gammaXiNc %*% beta0Nc) + mu.lv <- rbind(beta0Nc, mu.eta) + mu.ov <- tauNc + lambdaNc %*% mu.lv + mu.all <- rbind(mu.lv, mu.ov) list( sigma.all = sigma.all, diff --git a/src/equations_lms.cpp b/src/equations_lms.cpp index e8fd3455..5352f173 100644 --- a/src/equations_lms.cpp +++ b/src/equations_lms.cpp @@ -35,13 +35,7 @@ arma::vec muLmsCpp(Rcpp::List model, arma::vec z) { else zVec = arma::zeros(numXis); const arma::mat kronZ = arma::kron(Ie, beta0 + A * zVec); - - arma::mat Binv; - if (Ie.n_cols == 1) { - Binv = arma::mat(Ie); - } else { - Binv = arma::inv(Ie - Ge - kronZ.t() * Oex); - } + const arma::mat Binv = arma::inv(Ie - Ge - kronZ.t() * Oex); const arma::vec muX = tX + lX * (beta0 + A * zVec); const arma::vec muY = tY + @@ -82,13 +76,7 @@ arma::mat sigmaLmsCpp(Rcpp::List model, arma::vec z) { else zVec = arma::zeros(numXis); const arma::mat kronZ = arma::kron(Ie, beta0 + A * zVec); - - arma::mat Binv; - if (Ie.n_cols == 1) { - Binv = arma::mat(Ie); - } else { - Binv = arma::inv(Ie - Ge - kronZ.t() * Oex); - } + const arma::mat Binv = arma::inv(Ie - Ge - kronZ.t() * Oex); arma::mat Oi = arma::eye(numXis, numXis); Oi.diag() = arma::join_cols(arma::zeros(k), arma::ones(numXis - k)); @@ -156,10 +144,7 @@ struct LMSModel { arma::vec mu(const arma::vec& z) const { const arma::vec zVec = make_zvec(k, numXis, z); const arma::mat kronZ = arma::kron(Ie, beta0 + A * zVec); - - arma::mat Binv; - if (Ie.n_cols == 1) Binv = arma::mat(Ie); - else Binv = arma::inv(Ie - Ge - kronZ.t() * Oex); + const arma::mat Binv = arma::inv(Ie - Ge - kronZ.t() * Oex); const arma::vec muX = tX + lX * (beta0 + A * zVec); const arma::vec muY = tY + @@ -173,10 +158,7 @@ struct LMSModel { arma::mat Sigma(const arma::vec& z) const { const arma::vec zVec = make_zvec(k, numXis, z); const arma::mat kronZ = arma::kron(Ie, beta0 + A * zVec); - - arma::mat Binv; - if (Ie.n_cols == 1) Binv = arma::mat(Ie); - else Binv = arma::inv(Ie - Ge - kronZ.t() * Oex); + const arma::mat Binv = arma::inv(Ie - Ge - kronZ.t() * Oex); const arma::mat Oi = make_Oi(k, numXis); const arma::mat Sxx = lX * A * Oi * A.t() * lX.t(); From 2de94c83d5da55d36a1860030967ecff27ec44ca Mon Sep 17 00:00:00 2001 From: kss2k Date: Mon, 27 Oct 2025 20:31:15 +0100 Subject: [PATCH 47/51] Make rstan an optional dependency --- DESCRIPTION | 5 ++--- R/model_stan.R | 3 +++ R/modsem_stan.R | 3 +++ 3 files changed, 8 insertions(+), 3 deletions(-) diff --git a/DESCRIPTION b/DESCRIPTION index 05043d4c..234372e9 100644 --- a/DESCRIPTION +++ b/DESCRIPTION @@ -59,11 +59,10 @@ RoxygenNote: 7.3.3 LinkingTo: Rcpp, RcppArmadillo Imports: Rcpp, purrr, stringr, lavaan, rlang, MplusAutomation, nlme, dplyr, mvnfast, stats, fastGHQuad, mvtnorm, ggplot2, parallel, plotly, Deriv, MASS, Amelia, - grDevices, cli, RhpcBLASctl, rstan, ggpubr + grDevices, cli, RhpcBLASctl, ggpubr Depends: R (>= 4.1.0) URL: https://modsem.org Suggests: - knitr, - rmarkdown + knitr, rmarkdown, rstan VignetteBuilder: knitr diff --git a/R/model_stan.R b/R/model_stan.R index d2273ff2..aeadb755 100644 --- a/R/model_stan.R +++ b/R/model_stan.R @@ -61,6 +61,9 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, ordered = NULL, ordered.link = c("logit", "probit"), parameterization = c("centered", "non-centered")) { + if (!requireNamespace("rstan", quietly = TRUE)) + stop2("The 'rstan' package is required to use the `modsem_stan()` function!") + ordered.link <- tolower(ordered.link) ordered.link <- match.arg(ordered.link) diff --git a/R/modsem_stan.R b/R/modsem_stan.R index 8fe0d94f..d3aac87c 100644 --- a/R/modsem_stan.R +++ b/R/modsem_stan.R @@ -54,6 +54,9 @@ modsem_stan <- function(model.syntax = NULL, rcs.choose = NULL, rcs.scale.corrected = TRUE, ...) { + if (!requireNamespace("rstan", quietly = TRUE)) + stop2("The 'rstan' package is required to use the `modsem_stan()` function!") + if (rcs) { # use reliability-correct single items? corrected <- relcorr_single_item( syntax = model.syntax, From cd9f68e77832e1a4670c978791b5b319db4ec80e Mon Sep 17 00:00:00 2001 From: kss2k Date: Mon, 27 Oct 2025 22:06:12 +0100 Subject: [PATCH 48/51] Add handling of residual covariances in modsem_stan --- R/model_stan.R | 473 ++++++++++++++++++++++++++++-- tests/testthat/test_modsem_stan.R | 46 ++- 2 files changed, 500 insertions(+), 19 deletions(-) diff --git a/R/model_stan.R b/R/model_stan.R index aeadb755..87240089 100644 --- a/R/model_stan.R +++ b/R/model_stan.R @@ -166,6 +166,162 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, GENERATED_QUANTITIES <- NULL EXCLUDE.PARS <- NULL + pair_key <- function(a, b) { + vals <- sort(c(a, b)) + paste0(vals, collapse = "___") + } + + normalize_cov_pairs <- function(df) { + if (!NROW(df)) return(df) + df$lhs <- pmin(df$lhs, df$rhs) + df$rhs <- pmax(df$lhs, df$rhs) + df <- df[!duplicated(df[, c("lhs", "rhs")]), , drop = FALSE] + df + } + + build_components <- function(nodes, edges, order_ref) { + if (!length(nodes)) { + map <- setNames(rep(0L, length(order_ref)), order_ref) + return(list(groups = list(), map = map)) + } + + nodes <- unique(nodes) + if (!missing(order_ref) && length(order_ref)) { + nodes <- nodes[order(match(nodes, order_ref))] + } else { + order_ref <- nodes + } + + adj <- stats::setNames(vector("list", length(nodes)), nodes) + + if (NROW(edges)) { + for (i in seq_len(NROW(edges))) { + v1 <- edges$lhs[[i]] + v2 <- edges$rhs[[i]] + + adj[[v1]] <- unique(c(adj[[v1]], v2)) + adj[[v2]] <- unique(c(adj[[v2]], v1)) + } + } + + visited <- stats::setNames(rep(FALSE, length(nodes)), nodes) + groups <- list() + + for (node in nodes) { + if (visited[[node]]) next + + stack <- node + visited[[node]] <- TRUE + comp <- character() + + while (length(stack)) { + current <- stack[[length(stack)]] + stack <- stack[-length(stack)] + comp <- c(comp, current) + + neighbors <- adj[[current]] + for (nbr in neighbors) { + if (!visited[[nbr]]) { + visited[[nbr]] <- TRUE + stack <- c(stack, nbr) + } + } + } + + comp <- comp[order(match(comp, order_ref))] + groups[[length(groups) + 1L]] <- comp + } + + groups <- Filter(function(g) length(g) > 1L, groups) + + map <- setNames(rep(0L, length(order_ref)), order_ref) + if (length(groups)) { + for (i in seq_along(groups)) { + map[groups[[i]]] <- i + } + } + + list(groups = groups, map = map) + } + + # --- Residual covariance metadata: continuous indicators --- + contIndicatorsAll <- setdiff(allInds, ordSet) + + contCovPairs <- parTable[ + parTable$op == "~~" & + parTable$lhs %in% contIndicatorsAll & + parTable$rhs %in% contIndicatorsAll & + parTable$lhs != parTable$rhs, + c("lhs", "rhs", "mod"), + drop = FALSE + ] + + if (NROW(contCovPairs)) { + contCovPairs$mod <- as.character(contCovPairs$mod) + contCovPairs$mod[contCovPairs$mod == ""] <- NA_character_ + contCovPairs <- normalize_cov_pairs(contCovPairs) + } + + contCovVars <- if (NROW(contCovPairs)) unique(c(contCovPairs$lhs, contCovPairs$rhs)) else character(0) + contCorrelatedVars <- contCovVars[order(match(contCovVars, contIndicatorsAll))] + + contComponent <- build_components( + nodes = contCorrelatedVars, + edges = contCovPairs, + order_ref = contIndicatorsAll + ) + + contGroupMap <- contComponent$map + contResidGroups <- contComponent$groups + + contResidIndex <- setNames(seq_along(contCorrelatedVars), contCorrelatedVars) + + contPairLookup <- if (NROW(contCovPairs)) { + keys <- mapply(pair_key, contCovPairs$lhs, contCovPairs$rhs, SIMPLIFY = TRUE, USE.NAMES = FALSE) + stats::setNames(contCovPairs$mod, keys) + } else { + setNames(character(0), character(0)) + } + + continuous_meta <- list() + + # --- Residual covariance metadata: latent etas --- + etaCovPairs <- parTable[ + parTable$op == "~~" & + parTable$lhs %in% etas & + parTable$rhs %in% etas & + parTable$lhs != parTable$rhs, + c("lhs", "rhs", "mod"), + drop = FALSE + ] + + if (NROW(etaCovPairs)) { + etaCovPairs$mod <- as.character(etaCovPairs$mod) + etaCovPairs$mod[etaCovPairs$mod == ""] <- NA_character_ + etaCovPairs <- normalize_cov_pairs(etaCovPairs) + } + + etaCovVars <- if (NROW(etaCovPairs)) unique(c(etaCovPairs$lhs, etaCovPairs$rhs)) else character(0) + etaCorrelatedVars <- etaCovVars[order(match(etaCovVars, etas))] + + etaComponent <- build_components( + nodes = etaCorrelatedVars, + edges = etaCovPairs, + order_ref = etas + ) + + etaGroupMap <- etaComponent$map + etaResidGroups <- etaComponent$groups + + etaPairLookup <- if (NROW(etaCovPairs)) { + keys <- mapply(pair_key, etaCovPairs$lhs, etaCovPairs$rhs, SIMPLIFY = TRUE, USE.NAMES = FALSE) + stats::setNames(etaCovPairs$mod, keys) + } else { + setNames(character(0), character(0)) + } + + eta_meta <- list() + STAN_INDS_LV <- function(lV) { inds <- indsLVs[[lV]] k <- length(inds) @@ -227,11 +383,35 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, ind, ind, ind, ind ) - modMeasrInd <- sprintf( - "INDICATORS_%s[,%d] ~ normal(%s__INTERCEPT + %s__MEASUREMENT__%s * %s, %s__STDDEV__%s);", - lV, i, ind, lV, ind, lV, ind, ind + groupId <- 0L + if (length(contGroupMap)) { + groupId <- contGroupMap[[ind]] + if (is.na(groupId)) groupId <- 0L + } + + sigmaName <- sprintf("%s__STDDEV__%s", ind, ind) + interceptName <- sprintf("%s__INTERCEPT", ind) + loadingName <- sprintf("%s__MEASUREMENT__%s", lV, ind) + dataIdx <- if (ind %in% names(contResidIndex)) contResidIndex[[ind]] else NA_integer_ + + continuous_meta[[ind]] <<- list( + intercept = interceptName, + loading = loadingName, + latent = lV, + sigma = sigmaName, + data_index = dataIdx, + group = groupId ) + if (groupId <= 0L) { + modMeasrInd <- sprintf( + "INDICATORS_%s[,%d] ~ normal(%s__INTERCEPT + %s__MEASUREMENT__%s * %s, %s__STDDEV__%s);", + lV, i, ind, lV, ind, lV, ind, ind + ) + } else { + modMeasrInd <- NULL + } + parLines <- c( parLines, parTauInd, @@ -457,33 +637,46 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, indeps <- stringr::str_replace_all(indeps, ":", "__XWITH__") labBeta <- sprintf("%s__REGRESSION__%s", eta, indeps) - allOrd <- is_allOrdinal_lv[eta] + allOrd <- is_allOrdinal_lv[eta] parBeta <- if (length(labBeta)) sprintf("real %s;", labBeta) else NULL parValues <- sprintf("vector[N] %s;", eta) - tparLines <- NULL + tparLines <- character() - if (allOrd) { - # FIXED disturbance SD = 1 - parSD <- NULL - projEta <- if (length(indeps)) collapse(sprintf("%s * %s", labBeta, indeps), sep = " + ") else "0" - modEta <- sprintf("%s ~ normal(%s, 1);", eta, projEta) + meanExpr <- if (length(indeps)) collapse(sprintf("%s * %s", labBeta, indeps), sep = " + ") else "0" + meanExprVec <- if (meanExpr == "0") "rep_vector(0, N)" else meanExpr + meanName <- sprintf("%s__MEAN", eta) + tparLines <- c(tparLines, sprintf("vector[N] %s = %s;", meanName, meanExprVec)) - # Expose the fixed residual variance under the usual name - tparLines <- sprintf("real %s__COVARIANCE__%s = 1;", eta, eta) + groupId <- if (length(etaGroupMap)) etaGroupMap[[eta]] else 0L + if (is.na(groupId)) groupId <- 0L + if (allOrd) { + parSD <- NULL + sigmaExpr <- "1" + tparLines <- c(tparLines, sprintf("real %s__COVARIANCE__%s = 1;", eta, eta)) } else { - # Free disturbance SD (parameter remains as before) labSD <- sprintf("%s__STDDEV__%s", eta, eta) parSD <- sprintf("real %s;", labSD) - tparLines <- sprintf("real %s__COVARIANCE__%s = %s^2;", eta, eta, labSD) - projEta <- if (length(indeps)) collapse(sprintf("%s * %s", labBeta, indeps), sep = " + ") else "0" - modEta <- sprintf("%s ~ normal(%s, %s);", eta, projEta, labSD) + sigmaExpr <- labSD + tparLines <- c(tparLines, sprintf("real %s__COVARIANCE__%s = %s^2;", eta, eta, labSD)) + } + + if (groupId > 0L) { + modEta <- NULL + } else { + modEta <- sprintf("%s ~ normal(%s, %s);", eta, meanName, sigmaExpr) } + eta_meta[[eta]] <<- list( + mean = meanName, + sigma = sigmaExpr, + group = groupId + ) + parameters <- collapse(c(parValues, parSD, parBeta)) - EXCLUDE.PARS <<- c(EXCLUDE.PARS, eta) + EXCLUDE.PARS <<- c(EXCLUDE.PARS, eta, meanName) list( parameters = parameters, @@ -492,6 +685,238 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, ) } + STAN_CORRELATED_CONTINUOUS <- function() { + if (!length(contResidGroups)) return(list()) + + parLines <- character() + tparLines <- character() + modelLines <- character() + + if (length(names(contPairLookup))) { + for (key in names(contPairLookup)) { + vars <- strsplit(key, "___", fixed = TRUE)[[1L]] + v1 <- vars[[1L]] + v2 <- vars[[2L]] + covName <- sprintf("%s__COVARIANCE__%s", v1, v2) + modVal <- contPairLookup[[key]] + + if (is.na(modVal)) { + parLines <- c(parLines, sprintf("real %s;", covName)) + tparLines <- c( + tparLines, + sprintf("real %s__COVARIANCE__%s = %s;", v2, v1, covName) + ) + } else { + tparLines <- c( + tparLines, + sprintf("real %s__COVARIANCE__%s = %s;", v1, v2, modVal), + sprintf("real %s__COVARIANCE__%s = %s;", v2, v1, modVal) + ) + } + } + } + + for (g in seq_along(contResidGroups)) { + vars <- contResidGroups[[g]] + size <- length(vars) + thetaName <- sprintf("Theta_cont_%d", g) + lName <- sprintf("L_Theta_cont_%d", g) + + tparLines <- c( + tparLines, + sprintf("matrix[%d, %d] %s;", size, size, thetaName), + sprintf("cholesky_factor_cov[%d] %s;", size, lName), + sprintf("%s = rep_matrix(0, %d, %d);", thetaName, size, size) + ) + + for (i in seq_along(vars)) { + var <- vars[[i]] + sigmaExpr <- continuous_meta[[var]]$sigma + tparLines <- c( + tparLines, + sprintf("%s[%d, %d] = square(%s);", thetaName, i, i, sigmaExpr) + ) + } + + if (size >= 2L) { + for (i in seq_along(vars)) { + for (j in seq_len(i - 1L)) { + vi <- vars[[i]] + vj <- vars[[j]] + key <- pair_key(vi, vj) + if (key %in% names(contPairLookup)) { + covExpr <- sprintf("%s__COVARIANCE__%s", vi, vj) + } else { + covExpr <- "0" + } + tparLines <- c( + tparLines, + sprintf("%s[%d, %d] = %s;", thetaName, i, j, covExpr), + sprintf("%s[%d, %d] = %s;", thetaName, j, i, covExpr) + ) + } + } + } + + tparLines <- c( + tparLines, + sprintf("%s = cholesky_decompose(%s);", lName, thetaName) + ) + + EXCLUDE.PARS <<- c(EXCLUDE.PARS, thetaName, lName) + + loopLines <- c( + sprintf("for (n in 1:N) {"), + sprintf(" vector[%d] resid;", size) + ) + + for (i in seq_along(vars)) { + var <- vars[[i]] + meta <- continuous_meta[[var]] + dataIdx <- meta$data_index + if (is.na(dataIdx)) { + stop2("Missing data index for correlated indicator '", var, "'.") + } + expr <- sprintf("%s + %s * %s[n]", + meta$intercept, + meta$loading, + meta$latent) + loopLines <- c( + loopLines, + sprintf(" resid[%d] = CONTINUOUS_INDICATORS[n, %d] - (%s);", + i, dataIdx, expr) + ) + } + + loopLines <- c( + loopLines, + sprintf(" target += multi_normal_cholesky_lpdf(resid | rep_vector(0, %d), %s);", size, lName), + "}" + ) + + modelLines <- c(modelLines, paste(loopLines, collapse = "\n")) + } + + dataLines <- sprintf("matrix[N, %d] CONTINUOUS_INDICATORS;", length(contResidIndex)) + + list( + data = dataLines, + parameters = collapse(parLines), + transformed_parameters = collapse(tparLines), + model = collapse(modelLines) + ) + } + + STAN_CORRELATED_ETAS <- function() { + if (!length(etaResidGroups)) return(list()) + + parLines <- character() + tparLines <- character() + modelLines <- character() + + if (length(names(etaPairLookup))) { + for (key in names(etaPairLookup)) { + vars <- strsplit(key, "___", fixed = TRUE)[[1L]] + v1 <- vars[[1L]] + v2 <- vars[[2L]] + covName <- sprintf("%s__COVARIANCE__%s", v1, v2) + modVal <- etaPairLookup[[key]] + + if (is.na(modVal)) { + parLines <- c(parLines, sprintf("real %s;", covName)) + tparLines <- c( + tparLines, + sprintf("real %s__COVARIANCE__%s = %s;", v2, v1, covName) + ) + } else { + tparLines <- c( + tparLines, + sprintf("real %s__COVARIANCE__%s = %s;", v1, v2, modVal), + sprintf("real %s__COVARIANCE__%s = %s;", v2, v1, modVal) + ) + } + } + } + + for (g in seq_along(etaResidGroups)) { + vars <- etaResidGroups[[g]] + size <- length(vars) + psiName <- sprintf("Psi_eta_%d", g) + lName <- sprintf("L_Psi_eta_%d", g) + + tparLines <- c( + tparLines, + sprintf("matrix[%d, %d] %s;", size, size, psiName), + sprintf("cholesky_factor_cov[%d] %s;", size, lName), + sprintf("%s = rep_matrix(0, %d, %d);", psiName, size, size) + ) + + for (i in seq_along(vars)) { + var <- vars[[i]] + sigmaExpr <- eta_meta[[var]]$sigma + tparLines <- c( + tparLines, + sprintf("%s[%d, %d] = square(%s);", psiName, i, i, sigmaExpr) + ) + } + + if (size >= 2L) { + for (i in seq_along(vars)) { + for (j in seq_len(i - 1L)) { + vi <- vars[[i]] + vj <- vars[[j]] + key <- pair_key(vi, vj) + if (key %in% names(etaPairLookup)) { + covExpr <- sprintf("%s__COVARIANCE__%s", vi, vj) + } else { + covExpr <- "0" + } + tparLines <- c( + tparLines, + sprintf("%s[%d, %d] = %s;", psiName, i, j, covExpr), + sprintf("%s[%d, %d] = %s;", psiName, j, i, covExpr) + ) + } + } + } + + tparLines <- c( + tparLines, + sprintf("%s = cholesky_decompose(%s);", lName, psiName) + ) + + EXCLUDE.PARS <<- c(EXCLUDE.PARS, psiName, lName) + + loopLines <- c( + sprintf("for (n in 1:N) {"), + sprintf(" vector[%d] resid;", size) + ) + + for (i in seq_along(vars)) { + var <- vars[[i]] + meta <- eta_meta[[var]] + loopLines <- c( + loopLines, + sprintf(" resid[%d] = %s[n] - %s[n];", i, var, meta$mean) + ) + } + + loopLines <- c( + loopLines, + sprintf(" target += multi_normal_cholesky_lpdf(resid | rep_vector(0, %d), %s);", size, lName), + "}" + ) + + modelLines <- c(modelLines, paste(loopLines, collapse = "\n")) + } + + list( + parameters = collapse(parLines), + transformed_parameters = collapse(tparLines), + model = collapse(modelLines) + ) + } + STAN_COMPUTED_PRODUCTS <- function(intTerms) { transformed_parameters <- NULL @@ -582,9 +1007,12 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, } for (lV in lVs) add2block(STAN_INDS_LV, lV = lV) + add2block(STAN_PAR_XIS, xis = xis) for (eta in etas) add2block(STAN_PAR_ETA, eta = eta) - add2block(STAN_PAR_XIS, xis = xis) + add2block(STAN_CORRELATED_CONTINUOUS) + add2block(STAN_CORRELATED_ETAS) + add2block(STAN_COMPUTED_PRODUCTS, intTerms = intTerms) add2block(STAN_COMPUTED_COVARIANCES, vars = c(xis, intTerms)) add2block(STAN_COMPUTED_VARIANCES, vars = c(xis, intTerms)) @@ -624,6 +1052,9 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, indsLVs = indsLVs, allIndsXis = allIndsXis, allIndsEtas = allIndsEtas, + cont_resid_vars = contCorrelatedVars, + cont_resid_groups = contResidGroups, + eta_resid_groups = etaResidGroups, exclude.pars = unique(EXCLUDE.PARS), parTable = parTable)) } @@ -636,6 +1067,8 @@ getStanData <- function(compiled_model, data, missing = "listwise", ordered = NU indsLVs <- compiled_model$info$indsLVs allIndsXis <- compiled_model$info$allIndsXis allIndsEtas <- compiled_model$info$allIndsEtas + contResidVars <- compiled_model$info$cont_resid_vars + if (is.null(contResidVars)) contResidVars <- character(0) # 1) Pre-coerce requested ordinal columns in the raw data # (safe even if columns are already numeric; ensures stable ordering) @@ -685,6 +1118,10 @@ getStanData <- function(compiled_model, data, missing = "listwise", ordered = NU stan_data[[sprintf("K_%s", ind)]] <- K } + if (length(contResidVars)) { + stan_data[["CONTINUOUS_INDICATORS"]] <- as.matrix(INDICATORS[, contResidVars, drop = FALSE]) + } + stan_data } diff --git a/tests/testthat/test_modsem_stan.R b/tests/testthat/test_modsem_stan.R index 7857438b..d52ad85f 100644 --- a/tests/testthat/test_modsem_stan.R +++ b/tests/testthat/test_modsem_stan.R @@ -210,7 +210,7 @@ if (TEST_STAN) { thresholds <- CUTS$thresholds thresholds.table <- NULL - parTable <- parameter_estimates(lms1) + parTable <- parameter_estimates(stan) for (col in choose) { tau.true <- thresholds[[col]] tau.true <- tau.true[is.finite(tau.true)] @@ -250,4 +250,48 @@ if (TEST_STAN) { data = oneInt, iter = 2000, chains = 2) # We can get a summary summary(fit.2way) + + set.seed(82423) + n <- 500 + X <- rnorm(n, mean = 0, sd = sqrt(1.2)) + Z <- rnorm(n, mean = 0, sd = sqrt(1.4)) + + Psi <- matrix(c(0.6, 0.2, 0.2, 0.4), nrow = 2, ncol = 2) + Zeta <- mvtnorm::rmvnorm(n, mean = c(0, 0), sigma = Psi) + + Theta <- matrix(c(0.2, 0.15, 0.15, 0.2), nrow = 2) + Epsilon <- mvtnorm::rmvnorm(n, mean = c(0, 0), sigma = Theta) + + Y1 <- 0.7 * X + 0.3 * Z + Zeta[, 1L] + Y2 <- 0.3 * X + 0.7 * Z + Zeta[, 2L] + + x1 <- X + 1.2 + rnorm(n, mean = 0, sd = sqrt(0.2)) + x2 <- 0.8 * X + 0.9 + rnorm(n, mean = 0, sd = sqrt(0.2)) + + z1 <- Z + 1.2 + rnorm(n, mean = 0, sd = sqrt(0.2)) + z2 <- 0.8 * Z + 0.9 + rnorm(n, mean = 0, sd = sqrt(0.2)) + + y1 <- Y1 + 1.2 + rnorm(n, mean = 0, sd = sqrt(0.2)) + y2 <- 0.8 * Y1 + 0.9 + Epsilon[, 1L] + + y3 <- Y2 + 1.2 + rnorm(n, mean = 0, sd = sqrt(0.2)) + y4 <- 0.8 * Y2 + 0.9 + Epsilon[, 2L] + + data <- data.frame(x1, x2, z1, z2, y1, y2, y3, y4) + + mod <- ' + X =~ x1 + x2 + Z =~ z1 + z2 + Y1 =~ y1 + y2 + Y2 =~ y3 + y4 + + Y1 ~ X + Z + Y2 ~ X + Z + + Y1 ~~ Y2 + y2 ~~ y4 + ' + + fit.lms <- modsem(mod, data, method = "lms") + fit.stan <- modsem_stan(mod, data) } From 0eada9a135a81d8d8a17cc5654fabed701ddc516 Mon Sep 17 00:00:00 2001 From: kss2k Date: Tue, 28 Oct 2025 10:15:20 +0100 Subject: [PATCH 49/51] Add full handling of residual covariances --- R/model_stan.R | 24 +++++------ R/modsem_stan.R | 66 +++++++++++++++++++++++++++++-- R/utils_da.R | 35 ++++++++++++++++ tests/testthat/test_modsem_stan.R | 5 +-- 4 files changed, 113 insertions(+), 17 deletions(-) diff --git a/R/model_stan.R b/R/model_stan.R index 87240089..fd25dde7 100644 --- a/R/model_stan.R +++ b/R/model_stan.R @@ -92,6 +92,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, } parTable <- modsemify(model.syntax) + parTable <- addResidualCovariancesParTable(parTable) # endogenous variables (etas)model etas <- getSortedEtas(parTable, isLV = TRUE, checkAny = TRUE) @@ -171,7 +172,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, paste0(vals, collapse = "___") } - normalize_cov_pairs <- function(df) { + normalizeCovPairs <- function(df) { if (!NROW(df)) return(df) df$lhs <- pmin(df$lhs, df$rhs) df$rhs <- pmax(df$lhs, df$rhs) @@ -179,7 +180,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, df } - build_components <- function(nodes, edges, order_ref) { + buildComponents <- function(nodes, edges, order_ref) { if (!length(nodes)) { map <- setNames(rep(0L, length(order_ref)), order_ref) return(list(groups = list(), map = map)) @@ -244,7 +245,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, list(groups = groups, map = map) } - # --- Residual covariance metadata: continuous indicators --- + # Residual covariance metadata: continuous indicators contIndicatorsAll <- setdiff(allInds, ordSet) contCovPairs <- parTable[ @@ -259,13 +260,13 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, if (NROW(contCovPairs)) { contCovPairs$mod <- as.character(contCovPairs$mod) contCovPairs$mod[contCovPairs$mod == ""] <- NA_character_ - contCovPairs <- normalize_cov_pairs(contCovPairs) + contCovPairs <- normalizeCovPairs(contCovPairs) } contCovVars <- if (NROW(contCovPairs)) unique(c(contCovPairs$lhs, contCovPairs$rhs)) else character(0) contCorrelatedVars <- contCovVars[order(match(contCovVars, contIndicatorsAll))] - contComponent <- build_components( + contComponent <- buildComponents( nodes = contCorrelatedVars, edges = contCovPairs, order_ref = contIndicatorsAll @@ -283,9 +284,10 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, setNames(character(0), character(0)) } + parTable <- addResidualCovariancesParTable(parTable) continuous_meta <- list() - # --- Residual covariance metadata: latent etas --- + # Residual covariance metadata: latent etas etaCovPairs <- parTable[ parTable$op == "~~" & parTable$lhs %in% etas & @@ -298,13 +300,13 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, if (NROW(etaCovPairs)) { etaCovPairs$mod <- as.character(etaCovPairs$mod) etaCovPairs$mod[etaCovPairs$mod == ""] <- NA_character_ - etaCovPairs <- normalize_cov_pairs(etaCovPairs) + etaCovPairs <- normalizeCovPairs(etaCovPairs) } etaCovVars <- if (NROW(etaCovPairs)) unique(c(etaCovPairs$lhs, etaCovPairs$rhs)) else character(0) etaCorrelatedVars <- etaCovVars[order(match(etaCovVars, etas))] - etaComponent <- build_components( + etaComponent <- buildComponents( nodes = etaCorrelatedVars, edges = etaCovPairs, order_ref = etas @@ -554,7 +556,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, fix_idx <- which(vapply(xis, function(lv) is_allOrdinal_lv[lv], logical(1))) free_idx <- setdiff(seq_len(k), fix_idx) - # ---------------- parameters ---------------- + # parameters parLOmega <- sprintf("cholesky_factor_corr[%d] L_Omega;", k) if (length(free_idx) > 0L) { @@ -566,7 +568,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, # Non-centered: matrix of standard normals (N x k) parZ <- sprintf("matrix[N, %d] z_XI;", k) - # ---------------- transformed parameters ---------------- + # transformed parameters # Rebuild sqrtD_Phi with fixed 1's at fix_idx tparBuildSqrt <- c( sprintf("vector[%d] sqrtD_Phi;", k), @@ -604,7 +606,7 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, } tparXiVectors <- collapse(xiVectors) - # ---------------- model ---------------- + # model modLOmega <- "L_Omega ~ lkj_corr_cholesky(1);" # Non-centered prior: standard normals (vectorised via to_vector) modZ <- "to_vector(z_XI) ~ std_normal();" diff --git a/R/modsem_stan.R b/R/modsem_stan.R index d3aac87c..7c283c1a 100644 --- a/R/modsem_stan.R +++ b/R/modsem_stan.R @@ -164,12 +164,72 @@ modsem_stan <- function(model.syntax = NULL, op <- allOp[keep] rhs <- allRhs[keep] - samples <- samples[, keep, drop = FALSE] - namesSamplesRaw <- colnames(samples) + samples <- samples[, keep, drop = FALSE] + namesSamplesRaw <- colnames(samples) + diagnostics <- diagnostics[namesSamplesRaw, , drop = FALSE] + + # Detect duplicated residual covariance columns (order-insensitive) + sym_mask <- op == "~~" & lhs != rhs + dedup_key <- paste( + op, + ifelse(sym_mask, pmin(lhs, rhs), lhs), + ifelse(sym_mask, pmax(lhs, rhs), rhs), + sep = "::" + ) + + dup_idx <- duplicated(dedup_key) + if (any(dup_idx)) { + samples <- samples[, !dup_idx, drop = FALSE] + lhs <- lhs[!dup_idx] + op <- op[!dup_idx] + rhs <- rhs[!dup_idx] + diagnostics <- diagnostics[!dup_idx, , drop = FALSE] + dedup_key <- dedup_key[!dup_idx] + } + + # Align residual covariance orientation with the compiled parTable, if possible + sym_mask <- op == "~~" & lhs != rhs + if (any(sym_mask)) { + par_input <- compiled_model$info$parTable + input_sym <- par_input$op == "~~" & par_input$lhs != par_input$rhs + if (any(input_sym)) { + input_key <- paste( + par_input$op[input_sym], + pmin(par_input$lhs[input_sym], par_input$rhs[input_sym]), + pmax(par_input$lhs[input_sym], par_input$rhs[input_sym]), + sep = "::" + ) + + current_key <- dedup_key[sym_mask] + match_idx <- match(current_key, input_key) + has_match <- !is.na(match_idx) + + if (any(has_match)) { + idx <- which(sym_mask)[has_match] + lhs[idx] <- par_input$lhs[input_sym][match_idx[has_match]] + rhs[idx] <- par_input$rhs[input_sym][match_idx[has_match]] + } + + if (any(!has_match)) { + idx <- which(sym_mask)[!has_match] + lhs_new <- pmin(lhs[idx], rhs[idx]) + rhs_new <- pmax(lhs[idx], rhs[idx]) + lhs[idx] <- lhs_new + rhs[idx] <- rhs_new + } + } else { + idx <- which(sym_mask) + lhs_new <- pmin(lhs[idx], rhs[idx]) + rhs_new <- pmax(lhs[idx], rhs[idx]) + lhs[idx] <- lhs_new + rhs[idx] <- rhs_new + } + } + colnames(samples) <- paste0(lhs, op, rhs) + rownames(diagnostics) <- colnames(samples) # Summaries - diagnostics <- diagnostics[namesSamplesRaw, , drop = FALSE] coefs <- apply(samples, MARGIN = 2, FUN = mean) vcov <- stats::cov(samples) rhat <- diagnostics[, "Rhat"] diff --git a/R/utils_da.R b/R/utils_da.R index 2b4ab049..ec7bdbe1 100644 --- a/R/utils_da.R +++ b/R/utils_da.R @@ -747,6 +747,41 @@ isPureEta <- function(eta, parTable) { } +addResidualCovariancesParTable <- function(parTable) { + etas <- getEtas(parTable, checkAny = FALSE) + + if (!length(etas)) + return(parTable) + + pureEtas <- etas[isPureEta(etas, parTable = parTable)] + k <- length(pureEtas) + + if (k <= 1L) + return(parTable) + + for (j in seq_len(k)) { # iterate in reverse order + eta.j <- pureEtas[[j]] + + for (i in seq_len(j - 1L)) { + eta.i <- pureEtas[[i]] + + exists <- ( + (parTable$lhs == eta.i & parTable$op == "~~" & parTable$rhs == eta.j) | + (parTable$lhs == eta.j & parTable$op == "~~" & parTable$rhs == eta.i) + ) + + if (any(exists)) next + + parTable <- rbind(parTable, data.frame( + lhs = eta.i, op = "~~", rhs = eta.j, mod = "" + )) + } + } + + parTable +} + + getCoefMatricesDA <- function(parTable, xis = NULL, etas = NULL, diff --git a/tests/testthat/test_modsem_stan.R b/tests/testthat/test_modsem_stan.R index d52ad85f..dd54eab1 100644 --- a/tests/testthat/test_modsem_stan.R +++ b/tests/testthat/test_modsem_stan.R @@ -287,11 +287,10 @@ if (TEST_STAN) { Y1 ~ X + Z Y2 ~ X + Z - - Y1 ~~ Y2 + y2 ~~ y4 ' fit.lms <- modsem(mod, data, method = "lms") - fit.stan <- modsem_stan(mod, data) + fit.stan <- modsem_stan(mod, data, iter = 10000) } From 6ed91bca58335352043274c34e9d40e8b86f8348 Mon Sep 17 00:00:00 2001 From: kss2k Date: Tue, 28 Oct 2025 12:05:18 +0100 Subject: [PATCH 50/51] Add standardized estimates in summary, and non-symmetric ci/p-values --- R/modsem_stan.R | 29 ++++++++++++++++++++++++----- 1 file changed, 24 insertions(+), 5 deletions(-) diff --git a/R/modsem_stan.R b/R/modsem_stan.R index 7c283c1a..7d8de2f1 100644 --- a/R/modsem_stan.R +++ b/R/modsem_stan.R @@ -239,6 +239,12 @@ modsem_stan <- function(model.syntax = NULL, pars_clean_for_table <- cleanPars(colnames(samples)) # human-friendly labels where relevant se <- sqrt(diag(vcov)) + ci.lower <- apply(samples, MARGIN = 2, FUN = quantile, probs = 0.05) + ci.upper <- apply(samples, MARGIN = 2, FUN = quantile, probs = 0.95) + # non-symmetric P-value (Mplus note: https://www.statmodel.com/download/FAQ-Bootstrap%20-%20Pvalue.pdf) + B <- NROW(samples) + M <- apply(samples, MARGIN = 2, FUN = \(x) sum(x < 0)) + p.value <- 2 * apply(cbind(M/B, 1 - M/B), MARGIN = 1, FUN = min) # Two-sided (non-symmetric) # handle NaNs and zero SEs se.zero <- se <= .Machine$double.eps @@ -250,9 +256,9 @@ modsem_stan <- function(model.syntax = NULL, lhs = lhs, op = op, rhs = rhs, est = coefs, std.error = se, z.value = coefs / se, - p.value = 2 * stats::pnorm(-abs(coefs / se)), - ci.lower = coefs - CI_WIDTH * se, - ci.upper = coefs + CI_WIDTH * se, + p.value = p.value, + ci.lower = ci.lower, + ci.upper = ci.upper, R.hat = rhat, n.eff = neff, row.names = NULL ) @@ -275,8 +281,21 @@ modsem_stan <- function(model.syntax = NULL, #' @export -summary.modsem_stan <- function(object, ...) { - parTable <- object$parTable +summary.modsem_stan <- function(object, standardized = FALSE, ...) { + parTable <- parameter_estimates(object) + + if (standardized) { + parTable <- addTransformedEstimatesPT( + parTable = parTable, + values.from = "est", + values.to = "Std.all", + merge.by = c("lhs", "op", "rhs"), + FUN = standardized_estimates, + object = object, + ... + ) + } + parTable$n.eff <- as.character(round(parTable$n.eff)) # print as integer, not float summarize_partable(parTable) } From 5a366f354d671dea30e18bc625517ef29c1ee62a Mon Sep 17 00:00:00 2001 From: kss2k Date: Tue, 28 Oct 2025 13:58:56 +0100 Subject: [PATCH 51/51] Fix ordering of interaction terms, and ask to install rstan --- R/model_stan.R | 4 +++- R/modsem_stan.R | 19 +++++++++++++++++++ 2 files changed, 22 insertions(+), 1 deletion(-) diff --git a/R/model_stan.R b/R/model_stan.R index fd25dde7..9809d578 100644 --- a/R/model_stan.R +++ b/R/model_stan.R @@ -61,6 +61,8 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, ordered = NULL, ordered.link = c("logit", "probit"), parameterization = c("centered", "non-centered")) { + promptInstallRstan() + if (!requireNamespace("rstan", quietly = TRUE)) stop2("The 'rstan' package is required to use the `modsem_stan()` function!") @@ -1010,12 +1012,12 @@ compile_stan_model <- function(model.syntax, compile = TRUE, force = FALSE, for (lV in lVs) add2block(STAN_INDS_LV, lV = lV) add2block(STAN_PAR_XIS, xis = xis) + add2block(STAN_COMPUTED_PRODUCTS, intTerms = intTerms) for (eta in etas) add2block(STAN_PAR_ETA, eta = eta) add2block(STAN_CORRELATED_CONTINUOUS) add2block(STAN_CORRELATED_ETAS) - add2block(STAN_COMPUTED_PRODUCTS, intTerms = intTerms) add2block(STAN_COMPUTED_COVARIANCES, vars = c(xis, intTerms)) add2block(STAN_COMPUTED_VARIANCES, vars = c(xis, intTerms)) diff --git a/R/modsem_stan.R b/R/modsem_stan.R index 7d8de2f1..81b7cac3 100644 --- a/R/modsem_stan.R +++ b/R/modsem_stan.R @@ -54,6 +54,8 @@ modsem_stan <- function(model.syntax = NULL, rcs.choose = NULL, rcs.scale.corrected = TRUE, ...) { + promptInstallRstan() + if (!requireNamespace("rstan", quietly = TRUE)) stop2("The 'rstan' package is required to use the `modsem_stan()` function!") @@ -379,3 +381,20 @@ sortParTableStan <- function(parTable, parTable.input) { out } + + +promptInstallRstan <- function() { + if (!interactive() || requireNamespace("rstan", quietly = TRUE)) + return(NULL) + + printf("The `rstan` package is needed to use `modsem_stan()`\n") + printf("Do you want to install it? (y/n)\n") + + choice <- readLines(n = 1L) + + if (!nchar(choice)) + return(invisible(NULL)) + + if (tolower(substr(choice, 1L, 1L)) == "y") + install.packages("rstan") +}
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