- 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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