109
Views
101
CrossRef citations to date
0
Altmetric
Theory and Method

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

Pages 877-880 | Received 01 Mar 1978, Published online: 05 Apr 2012

References

  • Bartlett , M. S. and Kendall , D. G. 1946 . “The Statistical Analysis of Variances—Heterogeneity and the Logarithmic Transformation” . Journal of the Royal Statistical Society , : 128 – 138 . Suppl. 8
  • Box , G. E.P. 1953 . “Non-normality and Tests on Variances” . Biometrika , 40 : 318 – 335 .
  • Box , G. E.P. and Andersen , S. L. 1955 . “Permutation Theory in the Derivation of Robust Criteria and the Study of Departures From Assumption” . Journal of the Royal Statistical Society, Ser. B , 17 : 1 – 26 .
  • Brown , M. B. and Forsythe , A. B. 1974a . “Robust Tests for Equality of Variances” . Journal of the American Statistical Association , 69 : 364 – 367 .
  • Brown , M. B. and Forsythe , A. B. 1974b . “The ANOVA and Multiple Comparisons for Data With Heterogeneous Variances” . Biometrics , 30 : 719 – 724 .
  • Games , P. A. , Winkler , H. R. and Probert , D. A. 1972 . “Robust Tests for Homogeneity of Variance” . Educational and Psychological Measurement , 32 : 887 – 909 .
  • Gartside , P. S. 1972 . “A Study of Methods for Comparing Several Variances” . Journal of the American Statistical Association , 67 : 342 – 346 .
  • Kohr , R. L. and Games , P. A. 1977 . “Testing Complex a Priori Contrasts on Means From Independent Samples” . Journal of Educational Statistics , 2 : 207 – 217 .
  • Layard , W. M.J. 1973 . “Robust Large Sample Tests for Homogeneity of Variances” . Journal of the American Statistical Association , 68 : 195 – 198 .
  • Lemmer , H. H. 1978 . “A Robust Test for Dispersion” . Journal of the American Statistical Association , 73 : 419 – 422 .
  • Levene , H. 1960 . “Robust Tests for the Equality of Variances” . In Contributions to Probability and Statistics , Edited by: Olkin , I. 278 – 292 . Palo Alto , Calif. : Stanford University Press .
  • Levy , K. J. 1975 . “An Empirical Comparison of the Z-variance and Box-Scheffé Tests for Homogeneity of Variance” . Psychometrika , 40 : 519 – 524 .
  • Martin , C. G. 1976 . “Comment on Levy's ‘An Empirical Comparison of the Z-variance and Box-Scheffé Tests for Homogeneity of Variance,’” . Psychometrika , 41 : 551 – 556 .
  • Martin , C. G. and Games , P. A. 1977 . “ANOVA Tests for Homogeneity of Variance: Nonnormality and Unequal Samples” . Journal of Educational Statistics , 2 : 187 – 207 .
  • Miller , R. G. Jr. 1968 . “Jackknifing Variances” . Annals of Mathematical Statistics , 39 : 567 – 582 .
  • Mosteller , F. and Tukey , J. W. 1968 . “Data Analysis, Including Statistics” . In The Handbook of Social Psychology, , 2nd ed. , Edited by: Lindzey , G. and Aronson , E. Vol. 2 , Reading , Mass. : Addison-Wesley .
  • O'Brien , R. G. 1975 . “Factorial Designs for the Analysis of Spread” , Chapel Hill : University of North Carolina . unpublished PhD dissertation
  • O'Brien , R. G. 1978 . “Robust Techniques for Testing Heterogeneity of Variance Effects in Factorial Designs” . Psychometrika , 43 : 327 – 344 .
  • Walsh , J. E. 1947 . “Concerning the Effect of Intraclass Correlation on Certain Significance Tests” . Annals of Mathematical Statistics , 18 : 88 – 96 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.