#' p-value calculator for categorical variables
#'
#' Calculate the p-value for categorial variables.
#' The decision which test to use is equal to \code{\link{m.cat}}.
#' The p-value is calculated using one of the three tests:
#' Wilcoxon-Test, McNemar-Test, Chi-Squared-Test.
#'
#' @param x
#' Vector of the categorial variable.
#' @param group
#' Vector of the grouping variable.
#' @param paired
#' Logical. Is the categorial Variable paired?
#' @param is.ordered
#' Logical. Is the categorial Variable ordered?
#' @param correct.cat
#' Logical. Should correction be used in chi-sqared tests (see \code{\link{chisq.test}})
#' @param correct.wilcox
#' Logical. Should correction be used in wilcoxon tests (see \code{\link{wilcox.test}})
#' @param index
#' Optional. Label for the footnote.
#' The footnotes aren't produced in this function.
#' @param create
#' Which output document should be produced in the following step
#' (one of "pdf", "tex", "knitr", or "word").
#' Only usefull if \code{index} is not \code{NULL}.
#'
#' @details
#' Wilcoxon-Test: A Test for a comparison of 2 (in)dependent, ordered samples.
#' (see \code{\link{wilcox.test}}).
#' Kruskal_wallis-Test: A Test for a comparison of more than 2 (in)dependent,
#' ordered samples. (see \code{\link{kruskal.test}}).
#' McNemar Test: A Test for a comparison of 2 dependent,
#' not ordered samples. (see \code{\link{mcnemar.test}}).
#' Chi-Squared Test: A Test for a comparison of 2 or more than 2 independent,
#' not ordered samples. (see \code{\link[DescTools]{CochranQTest}}).
#' Cochran's Q Test: A test for a comparison of 2 or more than 2 dependent,
#' not ordered samples. (see \code{\link{chisq.test}}).
#'
#' @return
#' The p-value with index which test is ussed is returned.
#'
#' @author
#' Lorenz Uhlmann, Csilla van Lunteren
#'
#' @examples
#' \dontrun{
#' p.cat(x=rep(1:5,20), group=rep(1:4,25))
#' }
#'
p.cat <- function(x, group, paired = F, is.ordered = F, correct.cat = F,
correct.wilcox = T, index = c(), create = "tex",
default.unordered.unpaired.test = "Chisq") {
group <- droplevels(group);
x <- droplevels(x);
if (is.ordered) {
if (length(levels(group)) == 2) {
test.name <- "Wilcoxon"
tl <- stats::wilcox.test(as.numeric(x) ~ group, paired = paired)
pv <- tl$p.value
test.value <- tl$statistic
} else {
test.name <- "Kruskal"
tl <- stats::kruskal.test(x ~ group)
pv <- tl$p.value
test.value <- tl$statistic
}
} else {
if (paired) {
if (length(levels(group)) == 2) {
test.name <- "McNemar"
tl <- stats::mcnemar.test(table(x, group), correct = correct.cat)
pv <- tl$p.value
test.value <- tl$statistic
} else {
x.ind <- rep(1:(length(x) / length(levels(group))), length(levels(group)))
test.name <- "Cochran_Q"
tl <- DescTools::CochranQTest(x ~ group | x.ind)
pv <- tl$p.value
test.value <- tl$statistic
}
} else {
if (default.unordered.unpaired.test == "Chisq"){
test.name <- "Chisq"
tl <- stats::chisq.test(x, group, correct = correct.cat)
pv <- tl$p.value
test.value <- tl$statistic
}
else if (default.unordered.unpaired.test == "Fisher_boschloo"){
if ((nrow(table(x,group))!= 2) | (ncol(table(x,group))!= 2)){
warning("Fisher_boschloo test not implemented for non-2x2 tables. Defaulting to Fisher_exact.")
test.name <- "Fisher_exact"
tl <- stats::fisher.test(x, group)
pv <- tl$p.value
test.value <- 0
}
else {
test.name <- "Fisher_boschloo"
tl <- Exact::exact.test(table(group,x), method="boschloo", to.plot=F)
pv <- tl$p.value
test.value <- tl$statistic
}
}
else if (default.unordered.unpaired.test == "Fisher_exact"){
test.name <- "Fisher_exact"
tl <- stats::fisher.test(x, group)
pv <- tl$p.value
test.value <- 0
}
}
}
pform <- formatr(pv, 3, cl.z = T)
if (!is.null(index)) {
if (create == "word" | create == "R" | create== "archive") {
pform <- paste(pform, index, sep = "")
} else {
if (grepl("<", pform)) {
pform <- paste("\\textless", gsub("<", "", pform), "$^", index, "$", sep = "")
}
else {
pform <- paste(pform, "$^", index, "$", sep = "")
}
}
}
else{
if (create == "word" | create == "R" | create== "archive") {
pform <- paste(pform)
} else {
if (grepl("<", pform)) {
pform <- paste("\\textless", gsub("<", "", pform), sep = "")
}
else {
pform <- paste(pform, sep = "")
}
}
}
list(pv.formatted = pform, p.value = pv, test.value = test.value, test.name = test.name)
}
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