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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.