CT_Coefficient {ConcordanceTest}

Concordance Coefficient and Kruskal-Wallis Statistic

Description

This function computes the Concordance coefficient and the Kruskal-Wallis statistic.

Usage

CT_Coefficient(Sample_List, H = 0)

Arguments

Sample_List

List of numeric data vectors with the elements of each sample.

H

0 by default. If set to 1, the Kruskal-Wallis statistic is also calculated and returned.

Value

The function returns a list with the following elements:

1. Sample_Sizes: Numeric vector of sample sizes.

2. order_elements: Numeric vector containing the elements order.

3. disorder: Disorder of the permutation given by order_elements.

4. Concordance_Coefficient: 1-relative disorder of permutation given by order_elements.

5. H_Statistic: Kruskal-Wallis statistic (only if H = 1).

Examples

## Example
A <- c(12,13,15,20,23,28,30,32,40,48)
B <- c(29,31,49,52,54)
C <- c(24,26,44)
Sample_List <- list(A, B, C)
CT_Coefficient(Sample_List)
CT_Coefficient(Sample_List, H = 1)

## Example with ties
A <- c(12,13,15,20,24,29,30,32,40,49)
B <- c(29,31,49,52,54)
C <- c(24,26,44)
Sample_List <- list(A, B, C)
CT_Coefficient(Sample_List, H = 1)