Modification of Tukey’s additivity test

ŠIMEČEK, P. & ŠIMEČKOVÁ, M. Modification of Tukey’s additivity test. Journal of Statistical Planning and Inference, 2013, roč. 143, s. 197-201. {INTLINK}
ŠIMEČEK, Petr and ŠIMEČKOVÁ, Marie. Modification of Tukey’s additivity test. Journal of Statistical Planning and Inference, 2013, 143, 197-201. ISSN 0378-3758.
Year2013
CathegoryScientific publication in impacted journals
Internal link13001.pdf
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.