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#' Compute percentiles of the run timing distribution.
#'
#' Take the posterior sample of U[1,...nstrata] and compute the percentiles of the run
#' timing.
#' This uses the quantile() function from the "actuar" package which is designed to compute
#' quantiles of grouped data.
#' It is assumed that there are no fish in the system prior to the first point
# in time, and after the last point in time
#' @template time
#' @param U matrix of posterior samples. Each row is a sample from the posterior.
# Columns correspond to U[1]...U[nstrata]
#' @param prob Quantiles of the run timing to estimate.
#' @return An MCMC object with samples from the posterior distribution. A
#' series of graphs and text file are also created in the working directory.
#' This information is now added to the fit object as well and so it is unlikely
#' that you will use this function.
#' @template author
#' @template references
#' @export RunTime
#' @import plyr
#' @importFrom actuar grouped.data
#' @importFrom stats quantile
# 2018-12-14 CJS converted from a for() loop to adply()
RunTime <- function(time, U, prob=seq(0,1,.1)) {
timing <- c(min(time):(1+max(time)))
q.U <- plyr::adply(U, 1, function(U.sample, timing){
quant <- stats::quantile(actuar::grouped.data(Group=timing, Frequency=U.sample), prob=prob, na.rm=TRUE)
quant
}, timing=timing, .id=NULL)
q.U
}
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