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#' Probability of one group being upregulated under null
#'
#' This function estimates probabilities of any one group being upregulated
#' than other groups under null hypotheses.
#' @param ppnull a list returned by \code{\link{postProbNull}} or
#' \code{\link{OVESEGtest}}.
#' @details The probability of one group being upregulated under null
#' hypotheses is calculated by accumulating and normalizing genewise posterior
#' probability of null hypotheses. The group with higher probability tends to
#' get more False Positive MGs.
#' @return a numeric vector indicating probabilities of each group being
#' upregulated than others under null hypotheses.
#' @export
#' @examples
#' data(RocheBT)
#' ppnull <- postProbNull(RocheBT$y, RocheBT$group, alpha='moderated')
#' pk <- nullDistri(ppnull)
nullDistri <- function(ppnull)
{
W <- ppnull$W
groupOrder <- ppnull$groupOrder
K <- ncol(groupOrder)
ngene <- nrow(groupOrder)
prob <- matrix(0, ngene, K)
for(M in seq.int(2, K)) {
for(i in seq_len(ngene)) {
prob[i,groupOrder[i,seq_len(M)]] <-
prob[i,groupOrder[i,seq_len(M)]] + W[i,M-1] / M
}
}
propK <- colSums(prob)/sum(prob)
names(propK) <- ppnull$label
return(propK)
}
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