Modification of Tukey's additivity test |
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Authors: | Petr &Scaron imeček,Marie &Scaron imečková |
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Affiliation: | Institute of Animal Science, P?átelství 815, 10400 Prague, Czech Republic |
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Abstract: | In this paper we discuss testing for an interaction in the two-way ANOVA with just one observation per cell. The known results are reviewed and a simulation study is performed to evaluate type I and type II risks of the tests. It is shown that the Tukey and Mandel additivity tests have very low power in case of more general interaction scheme. A modification of Tukey's test is developed to resolve this issue. All tests mentioned in the paper have been implemented in R package Additivity Tests. |
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Keywords: | Two-way ANOVA Additivity tests Tukey additivity test |
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