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fisher_p <- function( x, y, m, n, relErr = 1 + 1e-7 ) {
# 'x' and 'y' are entries in the top two cells; 'm' and 'n' are
# column totals. Code is excerpted from fisher.test, for
# efficiency. Note that 'support' varies in length with the input
# variables, so vectorization is only possible via an mapply.
mapply(
function( x, y, m, n ) {
k <- x + y
lo <- max( 0, k - n )
hi <- min( k, m )
support <- lo:hi
d <- dhyper( support, m, n, k, log = TRUE )
d <- exp( d - max( d ) )
d <- d / sum( d )
sum( d[ d <= d[ x - lo + 1 ] * relErr ] )
},
x, y, m, n
)
}
fisher_p_vectorized <- function(x, y, m, n, relErr = 1 + 1e-7) {
## 'x' and 'y' are entries in the top two cells; 'm' and 'n' are
## column totals. Vectorized version of Richard's fisher_p().
k <- x + y
lo <- pmax(0L, k - n)
hi <- pmin(k, m)
support <- IRanges:::unlist_as_integer(IRanges(lo, hi))
w <- hi - lo + 1L
m <- rep(m, w)
n <- rep(n, w)
k <- rep(k, w)
d <- dhyper(support, m, n, k, log = TRUE)
part <- PartitioningByWidth(w)
dl <- relist(d, part)
maxd <- max(dl)
dl <- exp(dl - maxd) / sum(dl)
sel <- dl <= dl[as(x - lo + 1L, "IntegerList")] * relErr
unname(sum(dl[sel]))
}
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