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## File Name: rasch_mml2_estep_raschtype.R
## File Version: 0.136
#--- E Step Raschtype Model
rasch_mml2_estep_raschtype <- function( dat1, dat2, dat2.resp,
theta.k, pi.k, I, n, b, fixed.a, fixed.c, fixed.d, alpha1, alpha2,
group, pseudoll, f.qk.yi=NULL, weights=NULL )
{
# arrange groups
if ( is.null(group) ){
group <- rep( 1, nrow(dat1))
}
G <- length( unique(group) )
TP <- length(theta.k)
# probabilities of correct item at theta_k
pjk <- .prob.raschtype.genlogis( theta.k, b, alpha1, alpha2, fixed.a )
# cat(" probs") ; vv1 <- Sys.time(); print(vv1-vv0) ; vv0 <- vv1
fixed.c.M <- sirt_matrix2( x=fixed.c, nrow=nrow(pjk) )
fixed.d.M <- sirt_matrix2( x=fixed.d, nrow=nrow(pjk) )
pjk <- fixed.c.M + ( fixed.d.M - fixed.c.M) * pjk
# cat(" probs compute") ; vv1 <- Sys.time(); print(vv1-vv0) ; vv0 <- vv1
if ( is.null( f.qk.yi ) ){
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 )$fyiqk
#cat(" calc likelihood") ; vv1 <- Sys.time(); print(vv1-vv0) ; vv0 <- vv1
# f.qk.yi <- 0 * f.yi.qk
f.qk.yi <- matrix( 0, nrow=nrow(f.yi.qk), ncol=ncol(f.yi.qk) )
if ( G==1 ){
pi.k <- matrix( pi.k, ncol=1 )
}
for ( gg in 1:G){
ind_gg <- which(group==gg)
f.qk.yi[ind_gg,] <- f.yi.qk[ind_gg,]*sirt_matrix2(x=pi.k[,gg], nrow=length(ind_gg))
}
f.qk.yi <- f.qk.yi / rowSums(f.qk.yi)
}
#cat(" calc posterior") ; vv1 <- Sys.time(); print(vv1-vv0) ; vv0 <- vv1
# expected counts at theta.k
n.k <- matrix( 0, length(theta.k), G )
r.jk <- n.jk <- array( 0, dim=c( ncol(dat2), length(theta.k), G) )
ll <- rep(0,G)
for (gg in 1:G){
ind.gg <- which(group==gg)
res <- mml_raschtype_counts( dat2=dat2[ind.gg,], dat2resp=dat2.resp[ind.gg,],
dat1=dat1[ind.gg,2], fqkyi=f.qk.yi[ind.gg,], pik=pi.k[,gg],
fyiqk=f.yi.qk[ind.gg,])
n.k[,gg] <- res$nk
n.jk[,,gg] <- res$njk
r.jk[,,gg] <- res$rjk
ll[gg] <- res$ll
}
#cat(" calc expected counts") ; vv1 <- Sys.time(); print(vv1-vv0) ; vv0 <- vv1
#-- 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), theta.k=theta.k )
return(res)
}
.e.step.raschtype <- rasch_mml2_estep_raschtype
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