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arXiv · 1207.2883

Modification of Tukey's Additivity Test

Petr Simecek·Marie Simeckova
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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 AdditivityTests.

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BibTeXRIS

Petr Simecek, Marie Simeckova. 2012-07-12. Modification of Tukey's Additivity Test. https://doi.org/10.1016/j.jspi.2012.07.002

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