The Kruskal-Wallis tests are Cochran-Mantel-Haenszel mean score tests

Title: The Kruskal-Wallis tests are Cochran-Mantel-Haenszel mean score tests
Creator: Rayner, J. C. W.; Livingston, Glen
Relation: Metron Vol. 78, Issue 3, p. 353-360
Publisher Link: http://dx.doi.org/10.1007/s40300-020-00192-4
Publisher: Springer
Resource Type: journal article
Date: 2020
Description: The Kruskal-Wallis tests are appropriate tests for the completely randomised design, both for when the data are untied ranks, and, with adjustment, for when there are ties and mid-ranks are used. Both these tests are shown to be Cochran-Mantel-Haenszel mean score tests. The relationship between the Kruskal-Wallis test statistic and the ANOVA F test statistic when there are no ties generalises to the same relationship between the Cochran-Mantel-Haenszel mean score test statistic and the ANOVA F test statistic. It thus also relates both Kruskal-Wallis test statistics to the ANOVA F test statistic. A small simulation study finds that p-values may be more accurately found using the F test.
Subject: completely randomised design test; homosexual marriage example; mid-ranks; scores; Whiskey example
Identifier: http://hdl.handle.net/1959.13/1434985
Identifier: uon:39572
Identifier: ISSN:0026-1424
Language: eng
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