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bootstrap_lm_cov_latent_cont <- function(X1,X2,param="multilogit",Mu,Si,Be,Ga,B=100){
# preliminaries
mMu = mSi = mBe = 0
m2Mu = m2Si = m2Be = 0
if(param=="multilogit"){
mGa = 0
m2Ga = 0
}else if(param=="difflogit"){
mGa = vector("list",2)
m2Ga = vector("list",2)
mGa[[1]] = matrix(0,dim(Ga[[1]]))
mGa[[2]] = matrix(0,dim(Ga[[2]]))
m2Ga[[1]] = matrix(0,dim(Ga[[1]]))
m2Ga[[2]] = matrix(0,dim(Ga[[2]]))
}
if(is.vector(Mu)){
r =1
k = length(Mu)
}else{
r = nrow(Mu)
k = ncol(Mu)
}
for (b in 1:B) {
cat("boostrap sample n. ",b,"\n")
out = draw_lm_cov_latent_cont(X1,X2,param,Mu,Si,Be,Ga)
Yb = out$Y
out = est_lm_cov_latent_cont(Yb,X1,X2,param=param,k=k)
mMu = mMu + out$Mu/B
mSi = mSi + out$Si/B
mBe = mBe + out$Be/B
if(param=="multilogit"){
mGa = mGa + out$Ga/B
m2Ga = m2Ga + out$Ga^2/B
}else if(param=="difflogit"){
mGa[[1]] = mGa[[1]]+out$Ga[[1]]/B
mGa[[2]] = mGa[[2]]+out$Ga[[2]]/B
m2Ga[[1]] = m2Ga[[1]] + out$Ga[[1]]^2/B
m2Ga[[2]] = m2Ga[[2]] + out$Ga[[2]]^2/B
}
m2Mu = m2Mu + out$Mu^2/B
m2Si = m2Si + out$Si^2/B
m2Be = m2Be + out$Be^2/B
}
seMu = sqrt(m2Mu - mMu^2)
seSi = sqrt(m2Si - mSi^2)
seBe = sqrt(m2Be - mBe^2)
if(param=="multilogit"){
seGa = sqrt(m2Ga - mGa^2)
}else if(param=="difflogit"){
seGa = vector("list",2)
seGa[[1]] = sqrt(m2Ga[[1]] - mGa[[1]]^2)
seGa[[2]] = sqrt(m2Ga[[2]] - mGa[[2]]^2)
}
out = list(mMu = mMu, mSi = mSi, mBe = mBe, mGa = mGa,
seMu = seMu, seSi = seSi, seBe = seBe, seGa = seGa)
}
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