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An intrinsic rank test for k independent samples
Author(s) -
Kannemann K.
Publication year - 1980
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.4710220304
Subject(s) - mathematics , statistics , rank (graph theory) , spurious relationship , test statistic , statistic , kruskal–wallis one way analysis of variance , combinatorics , test (biology) , statistical hypothesis testing , mann–whitney u test , paleontology , biology
Considerations on the sensitivity of the KRUSKAL‐WALLIS Analysis of Variance by Ranks suggest an alternative method that is less sensitive to spurious interchange of ranks and tied ranks yet offers sufficient power. The Intrinsic Rank Test for k Independent Samples is proposed in this sense as an alternative method to the KRUSKAL‐ WALLIS test. The Intrinsic Rank Test is based on rank information, but the criterion ranks (intrinsic ranks) are not directly derïved from the observations, but rather indirectly, by means of a further transformation, from the ordinal ranks assigned in the usual manner. The incidence of the intrinsic ranks upon the k samples is then used to calculate a X 2 ‐like test statistic, which is readily evaluated with the Gamma distribution.