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On the Wilson Tests

Published online by Cambridge University Press:  01 January 2025

N. Donald Ylvisaker
N. Donald Ylvisaker*
Affiliation:
Columbia University
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Abstract

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.

Type
Original Paper
Information
Psychometrika , Volume 25 , Issue 3 , September 1960 , pp. 297 - 302
Copyright
Copyright © 1960 The Psychometric Society

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Footnotes

*

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.

References

McNemar, Q. On Wilson's distribution-free test of analysis of variance hypotheses. Psychol. Bull., 1957, 54, 361–362.CrossRefGoogle Scholar
McNemar, Q. More on the Wilson test. Psychol. Bull., 1958, 55, 334–335.CrossRefGoogle ScholarPubMed
Mood, A. M. Introduction to the theory of statistics, New York: McGraw-Hill, 1950.Google Scholar
Wilson, K. V. A distribution-free test of analysis of variance hypotheses. Psychol. Bull., 1956, 53, 96–101.CrossRefGoogle ScholarPubMed
Ylvisaker, N. D. Large sample distribution theory of a median test for two-way classification hypotheses. Unpublished thesis, Univ. Nebraska, 1956.Google Scholar