Comment on Levy’s “An Empirical Comparison of the Z-variance and Box-Scheffé Tests for Homogeneity of Variance”
- 1 December 1976
- journal article
- Published by Cambridge University Press (CUP) in Psychometrika
- Vol. 41 (4) , 551-556
- https://doi.org/10.1007/bf02296977
Abstract
An alternative selection of subsample sizes for the Box-Scheffé test is compared to the single m used in Levy, “An empirical comparison of the Z-variance and Box-Scheffé tests for homogeneity of variance.” Use of the alternative subsample sizes is shown to suggest greater power for the Box-Scheffé test, although the test would still be less powerful than the Z-variance test. Because of the nonrobustness of the Z-variance test and the robustness of the Box-Scheffé test, the latter is recommended as a general technique unless an experimenter has assurance that all populations in the experiment are normal. Alternative techniques are also considered.Keywords
This publication has 9 references indexed in Scilit:
- An Empirical Comparison of the Z-Variance and Box-Scheffé Tests for Homogeneity of VariancePsychometrika, 1975
- A Simple Test for Heterogeneity of Variance in Complex Factorial DesignsPsychometrika, 1974
- Robust Tests for the Equality of VariancesJournal of the American Statistical Association, 1974
- Robust Large-Sample Tests for Homogeneity of VariancesJournal of the American Statistical Association, 1973
- Robust Tests for Homogeneity of VarianceEducational and Psychological Measurement, 1972
- A Study of Methods for Comparing Several VariancesJournal of the American Statistical Association, 1972
- Jackknifing VariancesThe Annals of Mathematical Statistics, 1968
- NON-NORMALITY AND TESTS ON VARIANCESBiometrika, 1953
- The Statistical Analysis of Variance-Heterogeneity and the Logarithmic TransformationJournal of the Royal Statistical Society Series B: Statistical Methodology, 1946