A comparison of tests for the hypothesis of no three-factor interaction in 2 × 2 × 2 contingency tables
- 1 November 1984
- journal article
- research article
- Published by Taylor & Francis in Journal of Statistical Computation and Simulation
- Vol. 20 (3) , 205-215
- https://doi.org/10.1080/00949658408810777
Abstract
Several tests are available for the hypothesis stating that there is no 3-factor interaction in a 2 × 2 × 2 contingency table. This paper provides an empirical study of the behavior, under H 0 well as under a variety of alternatives, of six tests. Pearson's X 2 test, which was first applied to the 2 × 2 × 2 table by Bartlett (1935) is found most powerful among the tests which do not inflate the nominal significance level.Keywords
This publication has 3 references indexed in Scilit:
- On testing and estimating the interaction between treatments and environmental conditions in binomial experiments: The case of two stationsCommunications in Statistics - Theory and Methods, 1976
- Simple Methods for Analyzing Three-Factor Interaction in Contingency TablesJournal of the American Statistical Association, 1964
- Contingency Table InteractionsJournal of the Royal Statistical Society Series B: Statistical Methodology, 1935