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The Wilcoxon–Mann–Whitney Procedure Fails as a Test of Medians

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  • George W. Divine
  • H. James Norton
  • Anna E. Barón
  • Elizabeth Juarez-Colunga

Abstract

To illustrate and document the tenuous connection between the Wilcoxon–Mann–Whitney (WMW) procedure and medians, its relationship to mean ranks is first contrasted with the relationship of a t-test to means. The quantity actually tested: Pr ^(X1

Suggested Citation

  • George W. Divine & H. James Norton & Anna E. Barón & Elizabeth Juarez-Colunga, 2018. "The Wilcoxon–Mann–Whitney Procedure Fails as a Test of Medians," The American Statistician, Taylor & Francis Journals, vol. 72(3), pages 278-286, July.
    • Handle: RePEc:taf:amstat:v:72:y:2018:i:3:p:278-286
    DOI: 10.1080/00031305.2017.1305291
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    References listed on IDEAS

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    1. Reiczigel, Jeno & Zakarias, Ildiko & Rozsa, Lajos, 2005. "A Bootstrap Test of Stochastic Equality of Two Populations," The American Statistician, American Statistical Association, vol. 59, pages 156-161, May.
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    Cited by:

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    2. Carlos Alós-Ferrer & Georg D. Granic, 2023. "Does choice change preferences? An incentivized test of the mere choice effect," Experimental Economics, Springer;Economic Science Association, vol. 26(3), pages 499-521, July.
    3. Janusz Pospolita & Anna Kuczuk & Katarzyna Widera & Zbigniew Buryn & Robert Cholewa & Andrzej Drajczyk & Mirosław Pietrucha & Rafał Smejda, 2022. "Water Losses in the Condenser Cooling System at the 905 MWe Power Unit," Energies, MDPI, vol. 15(16), pages 1-25, August.
    4. Jiannan Lu & Yunshu Zhang & Peng Ding, 2020. "Sharp bounds on the relative treatment effect for ordinal outcomes," Biometrics, The International Biometric Society, vol. 76(2), pages 664-669, June.
    5. Belzunce, Félix & Martínez-Riquelme, Carolina, 2023. "A new stochastic dominance criterion for dependent random variables with applications," Insurance: Mathematics and Economics, Elsevier, vol. 108(C), pages 165-176.

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