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#' Propability table
#'
#' Calculates the propability table using different methods
#'
#' @param x an object of class table
#' @param method default is \sQuote{dirichlet}. Other available methods:
#' \sQuote{classical} that is function \code{prop.table()} from package base or method \dQuote{half} that add 1/2 to each cell
#' to avoid zero problems.
#' @param alpha constant used for method \sQuote{dirichlet}
#' @author Matthias Templ
#' @return The probablity table
#' @references
#' Egozcue, J.J., Pawlowsky-Glahn, V., Templ, M., Hron, K. (2015)
#' Independence in contingency tables using simplicial geometry.
#' \emph{Communications in Statistics - Theory and Methods}, 44 (18), 3978--3996.
#'
#' @export
#' @examples
#' data(precipitation)
#' pTab(precipitation)
#' pTab(precipitation, method = "dirichlet")
pTab <- function(x, method="dirichlet", alpha=1/length(as.numeric(x))){
if(method == "half"){
res <- (x + 1/2)/(sum(x)+nrow(x)*ncol(x)/2)
}
if(method == "classical"){
res <- prop.table(x)
}
if(method == "dirichlet"){
res <- ((x + alpha))/(sum(x) + sum(alpha))
}
res <- res / sum(res)
res
}
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