Hostname: page-component-745bb68f8f-grxwn Total loading time: 0 Render date: 2025-01-08T12:22:00.367Z Has data issue: false hasContentIssue false
  • English
  • Français

Asymptotic Clarifications, Generalizations, and Concerns Regarding 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
*
Reprint requests should be addressed to Paul W. Mielke, Jr., Department of Statistics, Colorado State University, Fort Collins, CO., 80523.
Get access Rights & Permissions [Opens in a new window]

Abstract

Recent studies pertaining to an extended class of matched pairs tests based on powers of ranks are discussed. Previous questions regarding the asymptotic properties for this class of tests are clarified and a generalization of this class is described. This generalization raises a previously unanticipated concern about whether or not the analytic comparisons resulting from these tests correspond with an intuitive notion of what is being compared.

Keywords

asymptotic nonnormalitycongruence principlenonparametric testspermutation testsrobust proceduresWilcoxon signed-ranks test
Type
Notes And Comments
Information
Psychometrika , Volume 48 , Issue 3 , September 1983 , pp. 483 - 485
Copyright
Copyright © 1983 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Mielke, P. W. Asymptotic behavior of two-sample tests based on powers of ranks for detecting scale and location alternatives. Journal of the American Statistical Association, 1972, 67, 850–854.CrossRefGoogle Scholar
Mielke, P. W. Squared rank test appropriate to weather modification cross-over design. Technometrics, 1974, 16, 13–16.Google Scholar
Mielke, P. W. & Berry, K. J. An extended class of matched pairs tests based on powers of ranks. Psychometrika, 1976, 41, 89–100.CrossRefGoogle Scholar
Mielke, P. W. & Berry, K. J. An extended class of permutation techniques for matched pairs. Communications in Statistics-Theory and Methods, 1982, All, 1197–1207.CrossRefGoogle Scholar
Mielke, P. W., Berry, K. J., & Medina, J. G. Climax I and II: Distortion resistant residual analyses. Journal of Applied Meteorology, 1982, 21, 788–792.2.0.CO;2>CrossRefGoogle Scholar
Mielke, P. W. & Sen, P. K. On asymptotic non-normal null distributions for locally most powerful rank test statistics. Communications in Statistics-Theory and Methods, 1981, A10, 1079–1094.CrossRefGoogle Scholar