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Note on the Relation between Kendall’s Tau and the Cronholm-Revusky Test

Published online by Cambridge University Press:  01 January 2025

B. M. Bennett
B. M. Bennett*
Affiliation:
University of Washington, Seattle
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Abstract

It is shown that the rank test R proposed by Cronholm and Revusky for comparing the effect of two treatments on a single group of n subjects is a linear function of Kendall’s τ-coefficient. The asymptotic results of Bennett for the distribution of R are also applicable to that of τ under a class of nonnull hypotheses.

Type
Original Paper
Information
Psychometrika , Volume 34 , Issue 1 , March 1969 , pp. 125 - 126
Copyright
Copyright © 1969 The Psychometric Society

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References

Bennett, B. M. Note on a rank test of Cronholm and Revusky. Psychometrika, 1967, 32, 419–424CrossRefGoogle Scholar
Cronholm, J. N., & Revusky, S. H. A sensitive rank test for comparing the effects of two treatments on a single group. Psychometrika, 1965, 30, 459–467CrossRefGoogle ScholarPubMed
Kendall, M. G., & Stuart, A. The advanced theory of statistics, vol. II. Griffin & Co., 1961.CrossRefGoogle Scholar
Kendall, M. G. Rank correlation methods, 3rd ed. Griffin & Co., 1962.Google Scholar