References
- Fisher , A. R. 1935 . The Design of Experiments , Edinburgh : Oliver & Boyd .
- Lehman , E. 1986 . Testing Statistical Hypotheses , 2 , New York : Wiley .
- Overall , J. E. , Atlas , R. S. and Gibson , J. M. 1995 . Test that are robust against variance heterogeneity in k×2 designs with unequal cell frequencies . Psychol. Rep. , 76 : 1011 – 1017 . (doi:10.2466/pr0.1995.76.3.1011)
- Scheffe , H. 1959 . The Analysis of Variance , New York : Wiley .
- Scheffe , H. 1970 . Practical solutions of the Behrens–Fisher problem . J. Amer. Statist. Assoc , 65 : 1501 – 1508 .
- Bryk , A. S. and Raudenbush , S. J. 1987 . Heterogeneity of variance in experimental studies: A Challange to conventional interpretations . Psychol. Bull. , 104 : 396 – 404 . (doi:10.1037/0033-2909.104.3.396)
- Schneider , P. J. and Penfield , D. A. 1997 . Alexander and Govern's approximation: Providing an alternative to ANOVA under variance heterogeneity . J. Exp. Educ. , 65 : 271 – 286 . (doi:10.1080/00220973.1997.9943459)
- Wilcox , R. R. 1989 . Adusting for unequal variances when comparing means in one-way and two-way effects ANOVA models . J. Educ. Statist. , 14 : 69 – 278 . (doi:10.2307/1165019)
- Brown , M. B. and Forsythe , A. B. 1974 . Robust tests for the equality of variances . J. Amer. Statist. Assoc. , 69 : 364 – 367 . (doi:10.1080/01621459.1974.10482955)
- Conover , W. J. , Johnson , M. E. and Johnson , M. M. 1981 . A comparative study of tests of homogeneity of variances, with applications to the outer continental shelf bidding data . Technometrics , 23 : 351 – 361 . (doi:10.1080/00401706.1981.10487680)
- Geng , S. , Wang , W. J. and Miller , C. 1979 . Small sample size comparisons of tests for homogeneity of variances by Monte-Carlo . Commun. Statist. Simul. Comput. , 8 : 379 – 389 . (doi:10.1080/03610917908812127)
- Hall , I. J. 1972 . Some comparisons of tests for equality of variances . J. Statist. Comput. Simul. , 1 : 183 – 194 . (doi:10.1080/00949657208810013)
- Keselman , H. J. , Games , P. A. and Clincg , J. J. 1979 . Tests for homogeneity of variance . Commun. Statist. Simul. Comput. , 8 : 113 – 129 . (doi:10.1080/03610917908812108)
- Zimmerman , D. W. 2004 . A note on preliminary tests of equality of variances . Brit. J. Math. Statist. Psychol. , 57 : 173 – 181 . (doi:10.1348/000711004849222)
- Levene , H. 1960 . “ Robust tests for equality of variances ” . In Contributions to Probability and Statistics , Edited by: Olkin , I. and Hotelling , H. 278 – 292 . Palo Alto , CA : Stanford University Press .
- Brown , M. B. and Forsythe , A. B. 1974 . The small sample behavior of the some statistics which test the equality of several means . Tecnometrics , 16 : 129 – 131 . (doi:10.1080/00401706.1974.10489158)
- Mehrotra , D. V. 1997 . Improving the Brown–Forsythe solution to the generalized Behrens–Fisher problem . Commun. Statist. Simul. Comput. , 26 : 1139 – 1145 . (doi:10.1080/03610919708813431)
- Miller , A. 1972 . Letter to the editor . Technometrics , 14 : 507
- O'Brien , R. 1978 . Robust techniques for testing heterogenity of variance effects in factorial designs . Psychometrika , 43 : 327 – 342 . (doi:10.1007/BF02293643)
- Keyes , T. and Levy , M. 1997 . Analysis of Levene's test under design imbalance . J. Educ. Behav. Statist. , 22 : 227 – 236 .
- O'Neill , M. E. and Mathews , K. L. 2000 . A weighted least squares approach to Levene's test of homogeneity of variances . Austral. NZ J. Statist. , 42 : 81 – 100 . (doi:10.1111/1467-842X.00109)
- O'Brien , R. 1981 . A simple test for variance effects in experimental designs . Psychol. Bull. , 89 : 570 – 574 . (doi:10.1037/0033-2909.89.3.570)
- Miller , R. J. 1968 . Jackkniffing variances . Ann. Math. Statist. , 39 : 567 – 582 . (doi:10.1214/aoms/1177698418)
- Cochran , W. G. 1937 . Problems arising in the analysis of a series of similar experiments . J. R. Statist. Soc. , 4 : 102 – 118 .
- Bartlett , M. S. 1973 . Properties of sufficiency and statistical tests . Proc. R. Soc. London A , : 268 – 282 .
- Welch , B. L. 1951 . On the comparison of several mean values: An alternative approach . Biometrika , 38 : 330 – 336 .
- James , G. S. 1951 . The comparision of several groups of observations when the ratios of the population variances are unknown . Biometrika , 38 : 324 – 329 .
- Box , G. E.P. 1954 . 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 . Ann. Math. Statist. , 25 : 290 – 302 . (doi:10.1214/aoms/1177728786)
- Horsnell , G. 1953 . The effect of unequal group variances on the F-test for the homogeneity of group means . Biometrika , 40 : 128 – 136 .
- Wilcox , R. R. , Char1in , V. L. and Thompson , K. L. 1986 . New Monte Carlo results on the robustness of the ANOVA F, W and F statistics . Commun. Statist. Simul. Comput. , 15 : 933 – 943 . (doi:10.1080/03610918608812553)
- Bonett , D. G. and Seier , E. 2003 . Confidence intervals for mean absolute deviations . Am. Statist. , 57 : 233 – 236 . (doi:10.1198/0003130032323)