On the Wilson tests

A general critical analysis of the median tests proposed by Wilson for certain analysis of variance hypotheses is presented. Specifically, discrepancies between the purported and actual approximate distributions of some of the test statistics are noted. Validity and power of the resulting tests are discussed.This work was sponsored in part by the Office of Naval Research while the author was at Stanford University. Reproduction in whole or in part is permitted for any purpose of the United States Government. The author wishes to thank Professors Fred C. Andrews, Lincoln E. Moses, and David L. Wallace for their helpful criticisms and suggestions in the writing of this paper.