AMR/R/kurtosis.R

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# ==================================================================== #
# TITLE #
# Antimicrobial Resistance (AMR) Analysis #
# #
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# SOURCE #
# https://gitlab.com/msberends/AMR #
# #
# LICENCE #
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# (c) 2019 Berends MS (m.s.berends@umcg.nl), Luz CF (c.f.luz@umcg.nl) #
# #
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# This R package is free software; you can freely use and distribute #
# it for both personal and commercial purposes under the terms of the #
# GNU General Public License version 2.0 (GNU GPL-2), as published by #
# the Free Software Foundation. #
# #
# This R package was created for academic research and was publicly #
# released in the hope that it will be useful, but it comes WITHOUT #
# ANY WARRANTY OR LIABILITY. #
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# Visit our website for more info: https://msberends.gitlab.io/AMR. #
# ==================================================================== #
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#' Kurtosis of the sample
#'
#' @description Kurtosis is a measure of the "tailedness" of the probability distribution of a real-valued random variable.
#'
#' @param x a vector of values, a \code{matrix} or a \code{data frame}
#' @param na.rm a logical value indicating whether \code{NA} values should be stripped before the computation proceeds.
#' @exportMethod kurtosis
#' @seealso \code{\link{skewness}}
#' @rdname kurtosis
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#' @inheritSection AMR Read more on our website!
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#' @export
kurtosis <- function(x, na.rm = FALSE) {
UseMethod("kurtosis")
}
#' @exportMethod kurtosis.default
#' @rdname kurtosis
#' @export
kurtosis.default <- function (x, na.rm = FALSE) {
x <- as.vector(x)
if (na.rm == TRUE) {
x <- x[!is.na(x)]
}
n <- length(x)
n * base::sum((x - base::mean(x, na.rm = na.rm))^4, na.rm = na.rm) /
(base::sum((x - base::mean(x, na.rm = na.rm))^2, na.rm = na.rm)^2)
}
#' @exportMethod kurtosis.matrix
#' @rdname kurtosis
#' @export
kurtosis.matrix <- function (x, na.rm = FALSE) {
base::apply(x, 2, kurtosis.default, na.rm = na.rm)
}
#' @exportMethod kurtosis.data.frame
#' @rdname kurtosis
#' @export
kurtosis.data.frame <- function (x, na.rm = FALSE) {
base::sapply(x, kurtosis.default, na.rm = na.rm)
}