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## File Name: rasch_mml2_estep_raschtype_mirt.R
## File Version: 1.072
#*** E Step Raschtype Model: multidimensional version
rasch_mml2_estep_raschtype_mirt <- function( dat1, dat2, dat2.resp, theta.k, pi.k, I,
n, b, fixed.a, fixed.c, fixed.d, alpha1, alpha2, group, mu, Sigma.cov,
Qmatrix, pseudoll )
{
aa0 <- Sys.time()
if ( is.null(group) ){
group <- rep( 1, nrow(dat1))
}
G <- length( unique( group) )
pjk <- prob_raschtype_genlogis( theta=theta.k, b=b, alpha1=alpha1,
alpha2=alpha2, fixed.a=fixed.a, Qmatrix=Qmatrix )
TP <- nrow(pjk)
# cat("- probs") ; aa1 <- Sys.time(); print(aa1-aa0) ; aa0 <- aa1
fixed.c.M <- sirt_matrix2(fixed.c, nrow=TP)
fixed.d.M <- sirt_matrix2(fixed.d, nrow=TP)
pjk <- fixed.c.M + ( fixed.d.M - fixed.c.M) * pjk
TP <- dim(pjk)[1]
pjkt <- t(pjk)
pjkL <- array( NA, dim=c( I, 2, TP))
pjkL[,1,] <- 1 - pjkt
pjkL[,2,] <- pjkt
probsM <- matrix( aperm( pjkL, c(2,1,3) ), nrow=I*2, ncol=TP )
f.yi.qk <- mml_calc_like( dat2=dat2, dat2resp=dat2.resp,
probs=probsM, pseudoll=pseudoll)$fyiqk
f.qk.yi <- 0 * f.yi.qk
if ( G==1 ){
pi.k <- matrix( pi.k, ncol=1 )
}
for ( gg in 1:G){
f.qk.yi[ group==gg, ] <- f.yi.qk[ group==gg, ] * outer( rep( 1, nrow(dat2[ group==gg,]) ), pi.k[,gg] )
}
f.qk.yi <- f.qk.yi / rowSums( f.qk.yi )
# expected counts at theta.k
n.k <- matrix( 0, nrow(theta.k), G )
r.jk <- n.jk <- array( 0, dim=c( ncol(dat2), nrow(theta.k), G) )
ll <- rep(0,G)
for (gg in 1:G){
ind.gg <- which( group==gg )
res <- mml_raschtype_counts( dat2=dat2[ind.gg,], dat2resp=dat2.resp[ind.gg,],
dat1=dat1[ind.gg,2], fqkyi=f.qk.yi[ind.gg,],
pik=pi.k[,gg], fyiqk=f.yi.qk[ind.gg,] )
n.k[,gg] <- res$nk
n.jk[,,gg] <- res$njk
r.jk[,,gg] <- res$rjk
ll[gg] <- res$ll
}
#--- output
res <- list( n.k=n.k, n.jk=n.jk, r.jk=r.jk, f.qk.yi=f.qk.yi, pjk=pjk,
f.yi.qk=f.yi.qk, ll=sum(ll) )
return(res)
}
.e.step.raschtype.mirt <- rasch_mml2_estep_raschtype_mirt
# cat("- posterior") ; aa1 <- Sys.time(); print(aa1-aa0) ; aa0 <- aa1
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