multComb {NSM3}

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

Details

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

Value

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

Author(s)

Grant Schneider

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))