| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1149348 | Journal of Statistical Planning and Inference | 2013 | 5 Pages |
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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Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Petr Šimeček, Marie Šimečková,