#' Signed rank sum of a matrix where larger statistics have stronger rank in the same direction
#'
#' Signed rank sum of a matrix. Larger statistics have stronger rank in the same direction.
#'
#' @inheritParams rankprod
#' @return Data frame with statistics from signed rank sum test.
#' @export
signed_ranksum <- function(mat, nsim=1e7-2, reorder.rows=TRUE, prefix=NULL, seed=100){
stopifnot(ncol(mat) > 1, !is.null(colnames(mat)))
if(nsim > 1e7-2) stop("nsim too large to have enough precision")
rmat <- apply(mat, 2, function(v) {
r <- rank(abs(v))
r[v < 0] <- -r[v < 0]
return(r)
})
rmat <- rmat/nrow(mat)
colnames(rmat) <- paste(gsub("\\..$", "", colnames(mat)), "Signed.Rank.Prop", sep=".")
set.seed(seed)
rmat.sim <- apply(rmat, 2, function(v, nsim) sample(v, size=nsim, replace=TRUE), nsim)
ranksum <- rowSums(rmat)
ranksum.sim <- rowSums(rmat.sim)
Fn <- stats::ecdf(c(ranksum.sim, Inf, -Inf))
pval <- Fn(ranksum)
pval <- 2 * pmin(pval, 1 - pval)
fdr <- stats::p.adjust(pval, method="BH")
direction <- ifelse(ranksum > 0, "Up", "Down")
res <- data.frame(rmat, Direction=direction, Signed.Ranksum.p=pval, Signed.Ranksum.FDR=fdr, row.names=rownames(mat))
if(reorder.rows) res <- res[order(res$Signed.Ranksum.p), ]
if(!is.null(prefix)) colnames(res) <- paste(prefix, colnames(res), sep=".")
return(res)
}
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