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Robust Rank Procedures for the Behrens-Fisher Problem

Robust Rank Procedures for the Behrens-Fisher Problem Abstract The problem of testing for equality of the medians of two populations is considered. The standard distribution-free tests for this problem require that the two populations have the same shape to maintain their nominal significance level under the null hypothesis. A method is given to modify many of these tests so they can be used to test for equality of the medians with fewer assumptions on the shapes of the two populations. The method is demonstrated using the Mann-Whitney-Wilcoxon statistic. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Journal of the American Statistical Association Taylor & Francis

Robust Rank Procedures for the Behrens-Fisher Problem

Robust Rank Procedures for the Behrens-Fisher Problem

Journal of the American Statistical Association , Volume 76 (373): 7 – Mar 1, 1981

Abstract

Abstract The problem of testing for equality of the medians of two populations is considered. The standard distribution-free tests for this problem require that the two populations have the same shape to maintain their nominal significance level under the null hypothesis. A method is given to modify many of these tests so they can be used to test for equality of the medians with fewer assumptions on the shapes of the two populations. The method is demonstrated using the Mann-Whitney-Wilcoxon statistic.

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References (21)

Publisher
Taylor & Francis
Copyright
Copyright Taylor & Francis Group, LLC
ISSN
1537-274X
eISSN
0162-1459
DOI
10.1080/01621459.1981.10477623
Publisher site
See Article on Publisher Site

Abstract

Abstract The problem of testing for equality of the medians of two populations is considered. The standard distribution-free tests for this problem require that the two populations have the same shape to maintain their nominal significance level under the null hypothesis. A method is given to modify many of these tests so they can be used to test for equality of the medians with fewer assumptions on the shapes of the two populations. The method is demonstrated using the Mann-Whitney-Wilcoxon statistic.

Journal

Journal of the American Statistical AssociationTaylor & Francis

Published: Mar 1, 1981

Keywords: Distribution free; Nonparametric; Behrens-Fisher problem

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