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###Function to get model fit diagnostics given a spCP object
#'
#' predict.spCP
#'
#' Predicts future observations from the \code{\link{spCP}} model.
#'
#' @param object a \code{\link{spCP}} model object for which predictions
#' are desired from.
#'
#' @param NewTimes a numeric vector including desired time(s) points for prediction.
#'
#' @param ... other arguments.
#'
#' @details \code{predict.spCP} uses Bayesian krigging to obtain posterior samples
#' from future time points.
#'
#' @return \code{predict.spCP} returns a list containing the following objects.
#'
#' \describe{
#'
#' \item{\code{Y}}{A \code{list} containing a matrix of predictions for each future time
#' point. Each matrix has one column for each location and contains posterior
#' samples obtained by Bayesian krigging.}
#'
#' }
#'
#' @author Samuel I. Berchuck
#' @export
###Prediction function for spCP function
predict.spCP <- function(object, NewTimes, ...) {
###Check Inputs
if (missing(object)) stop('"object" is missing')
if (!is.spCP(object)) stop('"object" must be of class spCP')
if (missing(NewTimes)) stop('"NewTimes" is missing')
if (!is.numeric(NewTimes)) stop('NewTimes must be a vector')
if (any(is.na(NewTimes))) stop("NewTimes may have no missing values")
if (any(!is.finite(NewTimes))) stop("NewTimes must have strictly finite entries")
if (!all(NewTimes >= 0)) stop('NewTimes vector has at least one negative entry')
###Set seed for reproducibility
set.seed(54)
###Set data objects
DatObj <- object$datobj
Nu <- DatObj$Nu
M <- DatObj$M
###Update DatObj
DatObj$NewTimes <- NewTimes
DatObj$NNewTimes <- length(NewTimes)
###Set mcmc object
NKeep <- dim(object$delta)[1]
###Create parameter object
Para <- list()
Para$Beta0 <- object$beta0
Para$Beta1 <- object$beta1
Para$Lambda0 <- object$lambda0
Para$Lambda1 <- object$lambda1
Para$Eta <- object$eta
###Obtain samples of mu, tau and alpha using Bayesian krigging
YFuture <- PredictFuture(DatObj, Para, NKeep)
###Format prediction samples for output
Out <- list()
for (i in 1:DatObj$NNewTimes) {
Out[[i]] <- YFuture[ , , i]
colnames(Out[[i]]) <- 1:M
rownames(Out[[i]]) <- 1:NKeep
}
names(Out) <- NewTimes
###Return formated samples
return(Out)
}
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