CT_Critical_Values {ConcordanceTest}

Critical Values of the Concordance and Kruskal-Wallis Tests

Description

This function computes the critical values and the p-values for a desired significance levels of .10, .05 and .01. of the Concordance and Kruskal-Wallis tests. Critical values and p-values can be obtained exactly or by simulation (default option).

Usage

CT_Critical_Values(Sample_Sizes, Num_Sim = 10000, H = 0, verbose = TRUE)

Arguments

Sample_Sizes

Numeric vector (n1,...,nk) containing the number of repetitions of each element, i.e., the size of each sample in the experiment.

Num_Sim

Number of simulations in order to obtain the probability distribution of the statistics. The default is 10000. If set to 0, the critical values and the p-values are obtained exactly. Otherwise they are obtained by simulation.

H

0 by default. If set to 1, the critical values and the p-values of the Kruskal-Wallis test are also calculated and returned.

verbose

A logical indicating if some "progress report" of the simulations should be given. The default is TRUE.

Value

The function returns a list with the following elements:

1. C_results: Concordance coefficient results. Critical values and p-values for a desired significance levels of 0.1, .05 and .01.

2. H_results: Kruskal-Wallis results. Critical values and p-values for a desired significance levels of 0.1, .05 and .01 (only if H = 1).

Warning

The computational time in exact calculations increases exponentially with the number of elements and with the number of sets.

Examples

Sample_Sizes <- c(3,3,3)
CT_Critical_Values(Sample_Sizes, Num_Sim = 0, H = 1)

CT_Critical_Values(Sample_Sizes, Num_Sim = 1000, H = 1)