#'This function calculates PTDO when fix PTSZ=0.95.
#' @param observed Observed single cells matrix with each column being the upper triangular of a single cell.
#' @param expected Underline true counts from simulation.
#' @param result Result form MCMCImpute function.
#'
#' @return A vector of PTDO and its SD when fixing PTSZ to be 0.95, and the threshold used in that case.
#' @export
#'
#' @examples
#' PTSZ95(observed=K562_T1_7k, expected=K562_1_true, result=T1_7k_res)
PTSZ95 <- function(observed, expected, result){
observed_sum <- apply(observed, 2, sum)
max_observed <- max(observed_sum)
observedlam <- observed_sum/max_observed
## true 0 positions figured out by MCMC
PTSZfun <- function(thresh) {
posi <- which(result$SZ>=thresh,TRUE)
posirows <- NULL
for (i in 1:(dim(posi)[1])) {
posirows <- c(posirows,matrow(posi[i,1],posi[i,2]))
}
IMP <- result$Impute_All
IMP[posirows,]<-0
PTSZ=list()
PTDO=list()
for(j in 1:ncol(observed)){
indexobserved0=(observed[,j]==0)
predictv=IMP[,j][indexobserved0]
Truevalue=expected[,j][indexobserved0]
PTSZ[[j]]=sum(Truevalue==0 & predictv==0)/sum(Truevalue==0)
PTDO[[j]]=sum(Truevalue>0 & predictv>0)/sum(Truevalue>0)
}
PTSZ=unlist(PTSZ)
PTDO=unlist(PTDO)
return(mean(PTSZ))
}
threshold <- seq(0.001, max(result$SZ), length.out = 200)
PTSZout <- unlist(lapply(threshold,PTSZfun))
tt <- rev(threshold)[which.min(abs(rev(PTSZout)-0.95))]
posi <- which(result$SZ>=tt,TRUE)
posirows <- NULL
for (i in 1:(dim(posi)[1])) {
posirows <- c(posirows,matrow(posi[i,1],posi[i,2]))
}
IMP <- result$Impute_All
IMP[posirows,]<-0
PTSZ=list()
PTDO=list()
for(j in 1:ncol(observed)){
indexobserved0=(observed[,j]==0)
predictv=IMP[,j][indexobserved0]
Truevalue=expected[,j][indexobserved0]
PTSZ[[j]]=sum(Truevalue==0 & predictv==0)/sum(Truevalue==0)
PTDO[[j]]=sum(Truevalue>0 & predictv>0)/sum(Truevalue>0)
}
PTSZ=unlist(PTSZ)
PTDO=unlist(PTDO)
summa_mean=data.frame(PTDO=mean(PTDO), SD2=sd(PTDO), thresh=tt)
rownames(summa_mean)=NULL
return(summa_mean)
}
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