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Psychometrika

, Volume 41, Issue 1, pp 89–100 | Cite as

An extended class of matched pairs tests based on powers of ranks

  • Paul W. MielkeJr.
  • Kenneth J. Berry
Article

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.

Keywords

Public Policy Rank Test Sign Test Statistical Theory Large Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Lenski, G. E. Status crystallization: a non-vertical dimension of social status.American Sociological Review, 1954,19, 405–413.Google Scholar
  2. 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.Google Scholar
  3. Wilcoxon, F. Individual comparisons by ranking methods.Biometrics, 1945,1, 80–83.Google Scholar
  4. Wilcoxon, F.Some rapid approximate statistical procedures. New York: American Cyanamid Company, 1949.Google Scholar

Copyright information

© Psychometric Society 1976

Authors and Affiliations

  • Paul W. MielkeJr.
    • 1
  • Kenneth J. Berry
    • 1
  1. 1.Department of StatisticsColorado State UniversityFort Collins

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