2018-12-16 22:45:12 +01:00
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# ==================================================================== #
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# TITLE #
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# Antimicrobial Resistance (AMR) Analysis #
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# #
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# AUTHORS #
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# Berends MS (m.s.berends@umcg.nl), Luz CF (c.f.luz@umcg.nl) #
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# #
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# LICENCE #
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# This package is free software; you can redistribute it and/or modify #
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# it under the terms of the GNU General Public License version 2.0, #
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# as published by the Free Software Foundation. #
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# #
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# This R package is distributed in the hope that it will be useful, #
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# but WITHOUT ANY WARRANTY; without even the implied warranty of #
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the #
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# GNU General Public License version 2.0 for more details. #
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# ==================================================================== #
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2018-07-08 22:14:55 +02:00
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#' Kurtosis of the sample
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#'
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#' @description Kurtosis is a measure of the "tailedness" of the probability distribution of a real-valued random variable.
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#'
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#' @param x a vector of values, a \code{matrix} or a \code{data frame}
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#' @param na.rm a logical value indicating whether \code{NA} values should be stripped before the computation proceeds.
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#' @exportMethod kurtosis
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#' @seealso \code{\link{skewness}}
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#' @rdname kurtosis
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#' @export
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kurtosis <- function(x, na.rm = FALSE) {
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UseMethod("kurtosis")
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}
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#' @exportMethod kurtosis.default
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#' @rdname kurtosis
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#' @export
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kurtosis.default <- function (x, na.rm = FALSE) {
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x <- as.vector(x)
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if (na.rm == TRUE) {
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x <- x[!is.na(x)]
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}
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n <- length(x)
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n * base::sum((x - base::mean(x, na.rm = na.rm))^4, na.rm = na.rm) /
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(base::sum((x - base::mean(x, na.rm = na.rm))^2, na.rm = na.rm)^2)
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}
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#' @exportMethod kurtosis.matrix
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#' @rdname kurtosis
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#' @export
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kurtosis.matrix <- function (x, na.rm = FALSE) {
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base::apply(x, 2, kurtosis.default, na.rm = na.rm)
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}
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#' @exportMethod kurtosis.data.frame
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#' @rdname kurtosis
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#' @export
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kurtosis.data.frame <- function (x, na.rm = FALSE) {
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base::sapply(x, kurtosis.default, na.rm = na.rm)
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}
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