Modification of Tukey's Additivity Test
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2012
- DOI:
- 10.48550/arXiv.1207.2883
- arXiv:
- arXiv:1207.2883
- Bibcode:
- 2012arXiv1207.2883S
- Keywords:
-
- Mathematics - Statistics Theory;
- Statistics - Applications
- E-Print:
- Accepted to Journal of Statistical Planning and Inference