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In this article a general univariateK‐sample rank test for complete block designs with proportional cell frequencies is derived. It is shown that the test statistic has under H0and for arbitrary scores asymptotically aX2‐distribution withK— 1 degrees of freedom. Special cases of this test are the Kruskal‐Wallis test and the Friedman test. The test is compared with the Benard‐van‐Elteren test, the Mack‐Skillings test and a test proposed by Downton. Finally the application of the test is illustrated by two examples.
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Haux et al. (1984) studied this question.
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