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Nonparametric Two‐Sample Tests for General Clinical Data
Author(s) -
Hilgers R. A.
Publication year - 1989
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.4710310206
Subject(s) - nonparametric statistics , wilcoxon signed rank test , exact test , mathematics , sample size determination , statistical hypothesis testing , statistics , sample (material) , mann–whitney u test , sample space , omnibus test , computer science , chemistry , chromatography
Starting from the discussion of a practical example a unifying concept for the derivation of meaningfully interpretable nonparametric tests for the two‐sample case is developed which may well be adapted for other designs, too. This methodology covers other well‐known procedures, e.g. Fisher's exact test, the Wilcoxon‐Mann‐Whitney and Gehan's tests, and may furthermore be extended to all situations sharing the same fundamental structural property of the sample space, namely its strict order induced by the substantial problem under study. The resulting test procedure is discussed for a randomization argument, exact and approximate, as well as for the general specific test problem. A numerical example is provided.