#' PostProcessing Predictive function
#'
#' This function draws samples from a Wishart dist
#' @param v and s
#' @keywords Wishart
#' @export
#' @examples
#' #nope
PostPredFunk<-function(.GrunK0us, .Zetc, .Y, .prep , .simlabel){
#Y<-.GrunK0us$Y
n<-length(.Y)
K<- max(.GrunK0us$Pars$k)
.GrunK0us$Pars$k<-factor(.GrunK0us$Pars$k, levels=c(1:max(.GrunK0us$Pars$k)))
#swq0<- reshape(.GrunK0us$Pars, v.names="q0", idvar="Iteration", timevar="k", direction='wide')[,-1]
#swMeans<- reshape(.GrunK0us$Pars, v.names="mu", idvar="Iteration", timevar="k", direction='wide')[,-1]
# swq0<-swq0[,(dim(swq0)[2]-K+1) :dim(swq0)[2]]
# swMeans<-swMeans[,(dim(swMeans)[2]-K+1) :dim(swMeans)[2]]
#swQ<- reshape(.GrunK0us$Pars, v.names="Sig", idvar="Iteration", timevar="k", direction='wide', drop=c("Mu", "P"))[,-1]
#DrawIters<-function(x) sample(c(1:max(.GrunK0us$Pars$Iteration)), size=x, replace = T, prob = NULL)
.iters<-sample(c(1:max(.GrunK0us$Pars$Iteration)), size=.prep, replace = T, prob = NULL)
SimHMMPred<-function(Q,Mu, q0, n=100){
q0<-sapply(q0, function(y) ifelse(y<0, 0, y))
k<-dim(Q)[1]
X<-c(rep(0,n))
Y<-c(rep(0,n))
X[1]<-sample(c(1:k), size=1,prob =q0)
for (i in 2:n){
X[i]<-sample(c(1:k), size=1,prob =Q[X[i-1],]) }
Y<-sapply( X, function(x) rnorm(1, Mu[x], 1) )
return(data.frame("States"=X, "Observed"=Y))
}
# apply to .iters : draw Z and do rnorm
DrawRepY<-function(x){
drawPars<-subset(.GrunK0us$Pars, Iteration==x)
Q<-as.matrix(drawPars[, c((4+1):(K+4))], by.row=TRUE)
rownames(Q)<-NULL
#.q0<-getq0(Q)
SimHMMPred(Q, drawPars$mu, getq0(Q), n)
}
.yrep<-matrix( nrow=.prep, ncol=n)
.zrep<-matrix( nrow=.prep, ncol=n)
for(i in 1:.prep){
xy<-DrawRepY(.iters[i])
.yrep[i,]<-xy[,2]
.zrep[i,]<-xy[,1]
}
#.yzrep<-sapply(.iters, DrawRepY)alll
#.yrep<-matrix(.yzrep[1,],nrow=.prep, byrow=T)
#.zrep<-matrix(.yzrep[2,],nrow=.prep, byrow=T)
## calculate various values
# min/max
MinP<-sum(apply(.yrep, 1, min) < min(.Y))/.prep
MaxP<-sum(apply(.yrep, 1, max) > max(.Y))/.prep
# Prediction Concordance
ComputePredConcordance<-function(x){sum( (x< quantile(.Y, .025)) | (x > quantile(.Y, 1-.025)) ) /n}
.pc<-apply(.yrep, 1, ComputePredConcordance)
#p_vals$Concordance[.K0]<-paste(mean(.pc), " (",quantile(.pc, .025), ",", quantile(.pc, 1-.025), ")", sep="")
Concordance<-mean(.pc)
# 4.2 MSPE
# take Z matrix and replace with estimated mean
Zemu<-.zrep
.PosteriorMeans<-.Zetc$theta$value[.Zetc$theta$variable=="mu"]
Zemu<-apply( Zemu, c(1,2), function(x) {return(.PosteriorMeans[x])} )
MSPE_dist<-apply((.yrep-Zemu)^2, 1, sum)
MAPE_dist<-apply(abs(.yrep-Zemu), 1, sum)
MSPE<-mean(MSPE_dist)
MAPE<-mean(MAPE_dist)
### 4.3 Plot data VS replicates
predplot<-ggplot(data.frame("Y"=.Y, "n"=c(1:n)), aes(x=Y)) +
#geom_histogram(aes(y=..density..), colour="red", fill="white")+
geom_line(data=melt(.yrep),stat="density", aes(x=value,group=Var1), size=0.5, color="blue", alpha=0.1)+
geom_density(color="green", size=1, linetype="dashed")+ geom_hline(yintercept=0, colour="white", size=1)+
theme_bw()+ggtitle("Predicted densities")
#ggsave(plot=predplot, filename= paste("PredictiveDensities_",.simlabel,"_K0",K,".pdf", sep="") ,width=10, height=10, units='cm' )
#ggsave(plot=predplot, filename= paste("PredictiveDensities_",.simlabel,"_K0",K,".bmp", sep="") )
return(list( "MinP"=MinP, "MaxP"=MaxP, "MAPE"=MAPE, "MSPE"=MSPE, "Concordance"=Concordance, "ggp"=predplot))
}
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