NSM3 (version 1.5)

multComb: Combinations of the first n integers in k groups

Description

This is a function, used for generating the permutations used for the Exact distribution of many of the statistical procedures in Hollander, Wolfe, Chicken - Nonparametric Statistical Methods Third Edition, to generate possible combinations of the first n=n1+n2+...+nk integers within k groups.

Usage

multComb(n.vec)

Arguments

n.vec

Contains the group sizes n1,n2,...,nk

Value

Returns a matrix of n!/(n1!*n2!*...*nk!) rows, where each row represents one possible combination.

Details

The computations involved get very time consuming very quickly, so be careful not to use it for too many large groups.

Examples

##What are the ways that we can group 1,2,3,4,5 into groups of 2, 2, and 1?
multComb(c(2,2,1))

##Another example, with four groups
multComb(c(2,2,3,2))