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#' Modified Rand Index (MRI) and Modified Adjusted Rand Index (MARI)
#'
#' @description It computes the value of the adjuster or non-adjusted Modified Rand Index.
#' @param U The first partition.
#' @param V The second partition.
#' @param k the number of iterations to estimate the expected value in the case of two random and independent partitions.
#' @details The corresponding values for the first and/or second partitions for in-comers and/or out-goings have to be NA.
#' @return A single value.
#' @references Cugmas, M., & Ferligoj, A. (2018). Comparing two partitions of non-equal sets of units. Advances in Methodology and Statistics 1(15), 1-23.
#' @author Marjan Cugmas
#' @export
MARI <- function(U = U, V = V, k = 1000){
Empirical <- MRI(U = U, V = V)
indexes <- NULL
for (i in 1:k){
indexes[i] <- MRI(U = sample(U), V = sample(V))
}
(Empirical - mean(indexes))/(1 - mean(indexes))
}
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