Optimal testing in a three way anova model |
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Authors: | J. C. W. Rayner D. J. Best G. F. Liddell |
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Affiliation: | 1. Department of Mathematics and Statistics , University of Otago , Dunedin, New Zealand;2. CSIRO IAPP Biometries Unit , North Ryde, NSW, 2113, AustraliaP.O. Box 52 |
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Abstract: | We consider likelihood ratio, score and Wald tests for a three-way random effects ANOVA model. Competitor tests are compared using criteria such as small sample power, asymptotic relative efficiency, and convenient null distribution. The final choice is between a new test and two tests long used in practice. |
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Keywords: | likelihood ratio test Pitman's asymptotic relative efficiency power score test Wald test |
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