Robust Tests for Homogeneity of Variance
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Bartlett M. S. Properties of sufficiency and statistical tests. Proceedings of the Royal Society of London, 1937, 160, 268–282.
Bartlett M. S., Kendall D. G. The statistical analysis of variance-heterogeneity and the logarithmic transformation. Journal of the Royal Statistical Society, Supplement 8, 1946, 128–138.
Bechofer R. E. A multiplicative model for analyzing variances which are affected by several factors. Journal of American Statistical Association, 1960, 55, 245–264.
Box G. E. P. Some theorems on quadratic forms applied in the study of analysis of variance problems: I. Effect of inequality of variance in the one-way classification. Annals Mathematical Statistics, 1954, 25, 290–302.
Box G. E. P., Andersen S. L. Permutation theory in the derivation of robust criteria and the study of departures from assumption. Journal of the Royal Statistical Society, 1955, 27, 1–26.
Dunnett C. W. A multiple comparison procedure for comparing several treatments with a control. Journal of the American Statistical Association, 1955, 50, 1096–1121.
Edwards A. L., 1960, Experimental design in psychological research
Fisher R. A., 1949, Design of experiments, 5
Foster L. A. The Q-test for equality of variances. (Unpublished Doctoral Dissertation, Purdue University). Ann Arbor, Michigan: University Microfilms, 1964, No. 65–5008.
Gagné R. M., 1965, The conditions of learning
Games P. A., Lucas P. A. Power of the analysis of variance of independent groups on non-normal and normally transformed data. Educational and Psychological Measurement, 1966, 26, 311–327.
Gayen A. K. The distribution of the variance ratio in random samples of any size drawn from non-normal populations. Biometrika, 1950, 37, 236–255.
Glass G. V., 1970, Statistical methods in education and psychology
Hartley H. O. The maximum F ratio as a short-cut test for heterogeneity of variance. Biometrika, 1950, 37, 308–312.
Johnson P. O., 1959, Modern statistical methods: Descriptive and inductive
Keuls M. The use of the “studentized range” in connection with an analysis of variance. Euphytica, 1952, 1, 112–122.
Kirk R. E., 1968, Experimental design procedures for the behavioral sciences
Levene H., 1960, Contributions to probability and statistics, 278
Miller R. G., 1966, Simultaneous statistical inference
McNemar Q., 1962, Psychological statistics, 3
Myers J. L., 1966, Fundamentals of experimental design
Newman D. The distribution of range in samples from a normal population, expressed in terms of independent estimate of a standard deviation. Biometrika, 1939, 31, 20–30.
Odeh R. I., 1959, Notes on the two analysis of variance of logarithms of variances
Pearson E. S. The analysis of variance in cases of non-normal variation. Biometrika, 1931, 23, 114–133.
Pearson E. S., 1958, Biometrica Tables for Statisticians
Pearson E. S., Hartley H. O. Charts of the power function for analysis of variance tests derived from the non-central F-distribution. Biometrika, 1951, 38, 112–130.
Sacks L., 1969, Statistiche auswertungsmethoden
Scheffé H. A method of judging all contrasts in the analysis of variance. Biometrika, 1953, 40, 87–104.
Scheffé H., 1959, The analysis of variance
Srivastava A. B. L. Effect of non-normality on the power of the analysis of variance test. Biometrika, 1959, 46, 114–122.
Tukey J. W. The problem of multiple comparisons. Unpublished manuscript, Princeton University, 1953.
Tukey J. W. Analyzing data: Sanctification or detective work? American Psychologist, 1969, 24, 83–91.
Winkler H. B. An empirical sampling study testing the robustness of several tests for homogeneity of variance. Unpublished M. S. thesis, Ohio University, 1968.