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#' @title Parametric bootstrap and non-parametric permutations of a response vector or
#' matrix
#'
#' @description Create a random parametric bootstrap sample or a permutation of
#' the input response vector or matrix (for survival outcomes).
#'
#' @param response_vec The dependent vector to sample from. For survival
#' response, this is the vector of event times. For regression or n-ary
#' classification, this is the vector of responses.
#' @param event_vec The death / event observation indicator vector for survival
#' response. This is coded as 0 for a right-censoring occurence and 1 for a
#' recorded event.
#' @param respType What type of response has been supplied. Options are
#' \code{"none"}, \code{"survival"}, \code{"regression"}, and
#' \code{"categorical"}. Defaults to \code{"none"} to match the default
#' \code{response = NULL} value.
#' @param parametric Should the random sample be taken using a parametric
#' bootstrap sample? Defaults to \code{TRUE}.
#'
#' @return If \code{parametric = FALSE}, a permutation of the supplied response
#' is returned (for AES-PCA). If \code{parametric = TRUE}, we return a
#' parametric bootstrap sample of the response.
#'
#' @details The distributions (for \code{parametric = TRUE}) are Weibull for
#' survival times, Normal for regression response, and n-ary Multinomial for
#' categorical response. Distributional parameters are estimated with their
#' maximum likelihood estimates. When \code{parametric = FALSE}, the response
#' vector or survival matrix is randomly ordered by row. This option should
#' only be used when called from the AES-PCA method.
#'
#' @keywords internal
#'
#' @importFrom survival Surv
#' @importFrom survival survreg
#' @importFrom stats rweibull
#' @importFrom stats runif
#'
#' @importFrom stats rnorm
#' @importFrom stats sd
#'
#' @importFrom methods as
#'
#'
#' @examples
#' # DO NOT CALL THESE FUNCTIONS DIRECTLY.
#' # Use AESPCA_pVals() or SuperPCA_pVals() instead
#'
#' \dontrun{
#' data("colon_pathwayCollection")
#' data("colonSurv_df")
#'
#' SampleResponses(
#' response_vec = colonSurv_df$OS_time,
#' event_vec = colonSurv_df$OS_event,
#' respType = "survival"
#' )
#' }
#'
#' @name RandomControlSample
#' @rdname permuteSamps
NULL
#' @rdname permuteSamps
SampleResponses <- function(response_vec,
event_vec = NULL,
respType = c("survival",
"regression",
"categorical"),
parametric = TRUE){
switch(respType,
survival = {
SampleSurv(
response_vec, event_vec, parametric = parametric
)
},
regression = {
SampleReg(
response_vec, parametric = parametric
)
},
categorical = {
SampleCateg(
response_vec, parametric = parametric
)
})
}
#' @rdname permuteSamps
SampleSurv <- function(response_vec,
event_vec,
parametric = TRUE){
# browser()
n <- length(event_vec)
# Set up event time sample: parametric bootstrap or non-parametric permutation
if(parametric){
# Estimate the null model
surv_obj <- Surv(response_vec, event_vec)
null_mod <- survreg(surv_obj ~ 1, dist = "weibull")
times_vec <- rweibull(
n, shape = 1 / null_mod$scale, scale = exp(null_mod$coef)
)
# Randomly censor some of the observations
pCensor <- mean(event_vec == 0)
event_ind <- runif(n) >= pCensor
for(m in seq_len(n)){
if(!event_ind[m]){
times_vec[m] <- runif(1, min = 0, max = times_vec[m])
}
}
} else {
randIdx <- sample.int(n, n)
times_vec <- response_vec[randIdx]
event_ind <- event_vec[randIdx]
}
# Return the bootstrapped / permuted survival data
list(response_vec = times_vec, event_vec = event_ind)
}
#' @rdname permuteSamps
SampleReg <- function(response_vec,
parametric = TRUE){
# browser()
n <- length(response_vec)
# Set up event time sample: parametric bootstrap or non-parametric permutation
if(parametric){
rand_vec <- rnorm(n, mean = mean(response_vec), sd = sd(response_vec))
} else {
rand_vec <- sample(response_vec)
}
# Return the bootstrapped / permuted regression response data
rand_vec
}
#' @rdname permuteSamps
SampleCateg <- function(response_vec,
parametric = TRUE){
# browser()
responseType <- class(response_vec)
x <- as.factor(response_vec)
# Set up event time sample: parametric bootstrap or non-parametric permutation
if(parametric){
n <- length(response_vec)
classes <- unique(x)
classProbs <- summary(x) / length(x)
rand_vec <- sample(classes, size = n, replace = TRUE, prob = classProbs)
} else {
rand_vec <- sample(x)
}
# Return the bootstrapped / permuted regression response data in its original
# class
if(responseType == "factor"){
rand_vec
} else {
as(as.character(rand_vec), responseType)
}
}
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