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An Extended Class of Matched Pairs Tests based on Powers of Ranks

Published online by Cambridge University Press:  01 January 2025

Paul W. Mielke Jr.  and
Kenneth J. Berry
Paul W. Mielke Jr.*
Affiliation:
Colorado State University
Kenneth J. Berry
Affiliation:
Colorado State University
*
Requests for reprints should be addressed to Dr. Paul W. Mielke, Jr., Department of Statistics, Colorado State University, Fort Collins, Colorado 80523.
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Abstract

A large class of rank tests, which includes the familiar sign test and the Wilcoxon signed-ranks test, is described and discussed. This class of distribution-free tests provides a flexible basis for testing research hypotheses of various forms. Exact small sample and approximate large sample procedures are considered. Applications of these procedures are presented, including simple numerical examples.

Type
Original Paper
Information
Psychometrika , Volume 41 , Issue 1 , March 1976 , pp. 89 - 100
Copyright
Copyright © 1976 The Psychometric Society

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Footnotes

The authors wish to acknowledge the constructive comments by the reviewers.

References

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Mielke, P. W. Asymptotic behavior of two-sample tests based on powers of ranks for detecting scale and location alternative. Journal of the American Statistical Association, 1972, 67, 850–854.CrossRefGoogle Scholar
Wilcoxon, F. Individual comparisons by ranking methods. Biometrics, 1945, 1, 80–83.CrossRefGoogle Scholar
Wilcoxon, F. Some rapid approximate statistical procedures, 1949, New York: American Cyanamid Company.Google Scholar