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On HÜHN's Notion of Optimal Sample Size in the χ 2 Goodness of Fit Test
Author(s) -
Rayner J. C. W.,
Best D. J.
Publication year - 1981
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.4710230710
Subject(s) - goodness of fit , sample size determination , mathematics , statistics , test (biology) , sample (material) , power (physics) , physics , paleontology , biology , quantum mechanics , thermodynamics
Hühn's notion of optimal sample size for the χ 2 goodness of fit test is discussed. It involves minimising the achievable level of the test subject to a given nominal level. This ignores the power of the competing tests and can lead to an ‘optimal’ test that is uniformly less powerful than all the competing tests considered.