Rank Tests for Complete Block Designs | Zendy

Haux R. | Zendy; Schumacher M. | Zendy; Weckesser G. | Zendy

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Rank Tests for Complete Block Designs

Author(s) -

Haux R.,

Schumacher M.,

Weckesser G.

Publication year - 1984

Publication title -

biometrical journal

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.108

H-Index - 63

eISSN - 1521-4036

pISSN - 0323-3847

DOI - 10.1002/bimj.4710260515

Subject(s) - mathematics , test (biology) , univariate , test statistic , rank (graph theory) , statistics , statistic , degrees of freedom (physics and chemistry) , goldfeld–quandt test , combinatorics , statistical hypothesis testing , z test , multivariate statistics , paleontology , physics , quantum mechanics , biology

In this article a general univariate K ‐sample rank test for complete block designs with proportional cell frequencies is derived. It is shown that the test statistic has under H 0 and for arbitrary scores asymptotically a X 2 ‐distribution with K — 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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