Brief investigation of tests of variability in the two-sample case

References

• Box , G. E.P. 1953 . Non-normality and tests on variances . Biometrika , 40 : 318 – 335 .
   Web of Science ®Google Scholar
• Scheffé , H. A. 1959 . The Analysis of Variance , New York : Wiley .
   Google Scholar
• Pearson , E. S. and Please , N. W. 1975 . Relation between the shape of population distribution and the robustness of four simple test statistics . Biometrika , 62 : 223 – 242 .
   Web of Science ®Google Scholar
• Hughes , J. L. and McNamara , W. J. 1961 . A comparative study of programmed and conventional instruction in industry . Journal of Applied Psychology , 45 : 225 – 231 .
   Google Scholar
• Shoemaker , L. H. 2003 . Fixing the F test for equal variances . The American Statistician , 57 : 105 – 114 .
   Web of Science ®Google Scholar
• Brown , M. B. and Forsythe , A. B. 1974 . Robust tests for the equality of variances . Journal of the American Statistical Association , 69 : 364 – 367 .
   Web of Science ®Google Scholar
• O'Brien , R. G. 1978 . Robust techniques for testing heterogeneity of variance effects in factorial designs . Psychometrika , 43 : 327 – 342 .
   Web of Science ®Google Scholar
• O'Brien , R. G. 1979 . An improved ANOVA method for robust tests of additive models for variances . Journal of the American Statistical Association , 74 : 877 – 880 .
   Web of Science ®Google Scholar
• O'Brien , R. G. 1981 . A simple test for variance effects in experimental designs . Psychological Bulletin , 89 : 570 – 574 .
   Web of Science ®Google Scholar
• Algina , J. , Olejnik , S. F. and Ocanto , R. 1989 . Error rates and power estimates for selected two-sample tests of scale . Journal of Educational Statistics , 14 : 373 – 384 .
   Google Scholar
• Conover , W. J. , Johnson , M. E. and Johnson , M. M. 1981 . A comparative study of tests for homogeneity of variances, with applications to the outer continental shelf bidding data . Technometrics , 23 : 351 – 361 . (see also Corrigendum. Technometrics, 1984, 26, 302)
   Web of Science ®Google Scholar
• Olejnik , S. F. and Algina , J. 1987 . Type I error rates and power estimates of selected parametric and nonparametric tests of scale . Journal of Educational Statistics , 12 : 45 – 61 .
   Google Scholar
• Ramsey , P. H. 1994 . Testing variances in psychological and educational research . Journal of Educational Statistics , 19 : 23 – 42 .
   Google Scholar
• Ramsey , P. H. and Brailsford , E. A. 1990 . Robustness and power of tests of variability on two independent groups . British Journal of Mathematical and Statistical Psychology , 43 : 113 – 130 .
   Google Scholar
• Levene , H. 1960 . “ Robust tests for equality of variances ” . In Contributions to Probability and Statistics , Edited by: Olkin , I. 278 – 292 . Palo Alto, CA : Stanford University Press .
   Google Scholar
• 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 .
   Web of Science ®Google Scholar
• Miller , R. G. and Jr . 1968 . Jackknifing variances . Annals of Mathematical Statistics , 39 : 567 – 582 .
   Google Scholar
• Aly , E.-E. A.A. 1990 . Simple test for dispersive ordering . Statistics and Probability Letters , 9 : 323 – 325 .
   Web of Science ®Google Scholar
• Good , P. I. and Hardin , J. W. 2003 . Common Errors in Statistics (and how to avoid them) , New York : Wiley .
   Google Scholar
• Ramsey , P. H. and Ramsey , P. P. 1993 . Updated version of the critical values of the standardized fourth moment . Journal of Statistical Computation and Simulation , 44 : 231 – 241 .
   Google Scholar
• Press , W. H. , Teukolsky , S. A. , Vetterling , W. T. and Flannery , B. P. 1994 . Numerical Recipes in FORTRAN , New York : Cambridge University Press .
   Google Scholar
• Johnson , N. L. 1949 . Systems of frequency curves generated by methods of translation . Biometrika , 36 : 149 – 176 .
   PubMed Web of Science ®Google Scholar
• Tadikamalla , P. R. 1980 . On simulating non-normal distributions . Psychometrika , 45 : 273 – 279 .
   Web of Science ®Google Scholar
• McNemar , Q. 1969 . Psychological Statistics , 4 , New York : John Wiley .
   Google Scholar