A General ANOVA Method for Robust Tests of Additive Models for Variances

Abstract Linearly combining Levene's z 2 variable with the jackknife pseudo-values of s 2 produces a family of variables that allows for analysis of variance (ANOVA) tests of additive models for the variances in fixed effects designs. Some distributional theory is developed, and a new robust homogeneity of variance test is advocated.

[1]  A Robust Test for Dispersion , 1978 .

[2]  Morton B. Brown,et al.  Corrigenda: Robust Tests for the Equality of Variances , 1974 .

[3]  Paul A. Games,et al.  Anova Tests for Homogeneity of Variance: Nonnormality and Unequal Samples , 1977 .

[4]  D. Kendall,et al.  The Statistical Analysis of Variance‐Heterogeneity and the Logarithmic Transformation , 1946 .

[5]  G. Box.  NON-NORMALITY AND TESTS ON VARIANCES , 1953 .

[6]  R. O’brien,et al.  Robust techniques for testing heterogeneity of variance effects in factorial designs , 1978 .

[7]  S. L. Andersen,et al.  Permutation Theory in the Derivation of Robust Criteria and the Study of Departures from Assumption , 1955 .

[8]  Charles G. Martin.  Comment on Levy's “an empirical comparison of the Z-variance and Box-Scheffé tests for homogeneity of variance” , 1976 .

[9]  Richard L. Kohr,et al.  Testing Complex a Priori Contrasts on Means from Independent Samples , 1977 .

[10]  P. Gartside,et al.  A Study of Methods for Comparing Several Variances , 1972 .

[11]  M. Layard,et al.  Robust Large-Sample Tests for Homogeneity of Variances , 1973 .

[12]  Morton B. Brown,et al.  372: The Anova and Multiple Comparisons for Data with Heterogeneous Variances , 1974 .

[13]  Morton B. Brown,et al.  Robust Tests for the Equality of Variances , 1974 .

[14]  J. Walsh.  Concerning the Effect of Intraclass Correlation on Certain Significance Tests , 1947 .

[15]  Paul A. Games,et al.  Robust Tests for Homogeneity of Variance , 1972 .

[16]  K. J. Levy.  An empirical comparison of theZ-variance and Box-Scheffé tests for homogeneity of variance , 1975 .