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## File Name: dmlavaan_est_model_bread_matrix_score_derivatives.R
## File Version: 0.112
dmlavaan_est_model_bread_matrix_score_derivatives <- function(fun, args,
partable, scores, symmetric=TRUE, h=1e-4, remove_duplicated=TRUE,
parnames=NULL)
{
N <- nrow(scores)
NPU <- max(partable$pnid)
args$do.fit <- FALSE
hess <- array(NA, dim=c(N, NPU, NPU) )
partable1 <- partable
partable1$start <- partable$est
for (pp in 1:NPU){
partable1a <- partable1
ind_pp <- which( partable$pnid==pp )
val <- partable1$est[ind_pp[1]]
h1 <- ifelse( abs(val) > 1, abs(val)*h, h )
#* add increment
partable1a$start[ ind_pp ] <- partable1$start[ ind_pp ] + h1
partable1a$est <- partable1a$start
args$model <- partable1a
mod2 <- do.call(what=fun, args=args)
scores2 <- lavaan::lavScores(object=mod2, remove.duplicated=remove_duplicated)
#* substract increment
if (symmetric){
partable1a$start[ ind_pp ] <- partable1$start[ ind_pp ] - h1
partable1a$est <- partable1a$start
args$model <- partable1a
mod2 <- do.call(what=fun, args=args)
scores3 <- lavaan::lavScores(object=mod2, remove.duplicated=remove_duplicated)
fac <- 2
} else {
scores3 <- scores
fac <- 1
}
hess[,pp,] <- ( scores2-scores3 ) / (fac*h1)
}
B <- matrix(0, nrow=NPU, ncol=NPU)
pp <- 1; hh <- 1
for (pp in 1:NPU){
for (hh in 1:NPU){
B[pp,hh] <- mean( hess[,pp,hh] )
}
}
B <- -B
# B <- ( B + t(B) ) / 2
if (!is.null(parnames)){
colnames(B) <- rownames(B) <- parnames
}
#--- output
return(B)
}
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