Modification of Tukey's Additivity Test
arXiv:1207.2883 · doi:10.1016/j.jspi.2012.07.002
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.
Accepted to Journal of Statistical Planning and Inference