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#' population variance
#'
#'
#' Returns the population variance. Note that \code{\link{var}} returns
#' the unbiased sample estimate of the population varaince.
#' It simply multiplies the result of \code{\link{var}} by (n-1) / n with n
#' the populaton size.
#'
#' @param x a numeric vector, matrix or data frame.
#' @param ... further arguments passed along to \code{\link{var}}
#'
#' @examples
#' x <- c(0,1) ##variance should be 0.5^2=0.25
#' var(x)
#' popvar(x)
popvar <- function(x,...){
if(is.matrix(x)){
n <- nrow(x) } else{
if(is.atomic(x)) n <- length(x)
}
var(x,...)*(n-1)/n
}
#' population standard deviation
#'
#'
#' Returns the population variance. Note that \code{\link{sd}} returns
#' the unbiased sample estimate of the population varaince.
#' It simply multiplies the result of \code{\link{var}} by (n-1) / n with n
#' the populaton size and takes the square root.
#'
#' @param x a numeric vector or an R object which is coercible to one by \code{as.vector(x, "numeric")}.
#' @param na.rm logical. Should missing values be removed?
#'
popsd <- function(x, na.rm=FALSE){
sqrt(popvar(if (is.vector(x)) x else as.double(x), na.rm = na.rm))
}
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