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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.

Several ways of using the traditional analysis of variance to test heterogeneity of spread in factorial designs with equal or unequal n are compared using both theoretical and Monte Carlo results. Two types of spread variables, (1) the jackknife pseudovalues of s2 and (2) the absolute deviations from the cell median, are shown to be robust and relatively powerful. These variables seem to be generally superior to the Z-variance and Box-Scheffé procedures.

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Comment on Levy’s “An Empirical Comparison of the Z-variance and Box-Scheffé Tests for Homogeneity of Variance”

Robust Techniques for Testing Heterogeneity of Variance Effects in Factorial Designs

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Comment on Levy’s “An Empirical Comparison of the Z-variance and Box-Scheffé Tests for Homogeneity of Variance”

Robust Techniques for Testing Heterogeneity of Variance Effects in Factorial Designs