Modification of Tukey's Additivity Test
Statistics Theory
2012-07-13 v1 Applications
Statistics Theory
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.
Cite
@article{arxiv.1207.2883,
title = {Modification of Tukey's Additivity Test},
author = {Petr Simecek and Marie Simeckova},
journal= {arXiv preprint arXiv:1207.2883},
year = {2012}
}
Comments
Accepted to Journal of Statistical Planning and Inference