A RANK-SUM TEST OF WHETHER TWO MULTIVARIATE SAMPLES WERE DRAWN FROM THE SAME POPULATION.
Abstract
The problem considered was first posed as the question of whether birds of a feather nest together. The statistical problem is that of devising a test of the hypothesis that the two species were randomly mixed over the occupied cliff ledges. A configuration of N=m+n points (in a metric space) which have been partitioned into two sets, A and B, of m and n points, respectively, is given and a procedure is required for testing the hypothesis of random partitioning against the alternative hypothesis that A and B are the result of some form of segregating operation. Such a nonparametric test procedure, being based only on the conditional distribution of partitions for the given configuration of m+n points, should have application to the general problem of testing whether two multivariate samples were drawn from the same population. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1964
- Accession Number
- AD0429846
Entities
People
- D. S. Robson