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A New Rank Test Against Ordered Alternatives in K ‐Sample Problems
Author(s) -
Le Chap T.
Publication year - 1988
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.4710300116
Subject(s) - mathematics , rank correlation , rank (graph theory) , spearman's rank correlation coefficient , test (biology) , statistics , kruskal–wallis one way analysis of variance , combinatorics , mann–whitney u test , paleontology , biology
The distribution‐free test against ordered alternatives proposed by Jonckheere (1954) is based on the Kendall's rank correlation coefficient τ. A new rank test is proposed and illustrated with a numerical example. The proposed test is based on Spearman's σ and has similar functional structure as the Kruskal‐Wallis test. A useful by‐product is a test for departure from a trend.