References
- 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 . Annals. of Mathematical Statistics , 25 : 290 – 302 .
- Brown , M. B. and Forsythe , A. B. 1974 . The small-sample behavior of some statistics which test the equality of several means . Technometrics , 16 : 129 – 132 .
- Cochran , W. G. 1937 . Problems arising in the analysis of a series of similar experiments . Journal of the Royal Statistical Society , : 102 – 118 .
- Hedges , L. V. and Pigott , T. D. 2001 . The power of tests in meta-analysis . Psychological Methods , 6 ( 3 ) : 203 – 217 .
- James , G. S. 1951 . The comparison of several groups of observations when the ratios of the population variances are unknown . Biometrika , 38 : 324 – 329 .
- Johansen , S. 1980 . The Welch-James approximation to the distribution of the residual sum of squares in a weighted linear regression . Biometrika , 67 : 85 – 92 .
- Johnson , N. L. , Kotz , S. and Balakrishnah , N. 1994 . Continuous Univariate Distributions Vol. 1 , New York : John Wiley & Sons .
- Johnson , N. L. , Kotz , S. and Balakrishnah , N. 1995 . Continuous Univariate Distributions Vol. 2 , New York : John Wiley & Sons .
- Kulinskaya , E. , Staudte , R. G. and Berezner , A. 2000 . Confidence Intervals for R2 and Power Calculations for unequal means in a one-way ANOVA Weighted for Unequal Variances . Technical Report 2000-16 . 2000 . La Trobe University .
- Mehrotra , D. V. 1997 . Improving the Brown-Forsythe solution to the generalized Behrens-Fisher problem . Communications in Statistics, Simulation and Computation , 26 : 1139 – 1145 .
- Miller , R. G. Jr. 1997 . Beyond ANOVA: Basics of Applied Statistics London : Chapman and Hall .
- Pagano , M. and Gauvreau , K. 2000 . Principles of Biostatistics Duxbury .
- Pearson , E. S. 1959 . Note on an approximation to the distributions of noncentral Chi-squared . Biometrika , 46 : 364
- Tan , W. Y. 1982 . On approximating probability distributions of a statistic of Brown-Forsythe from normal and nonnormal universes . J. Statist. Comput. Simulation , 16 : 35 – 55 .
- Welch , B. L. 1951 . On the comparison of several mean values: an alternative approach . Biometrika , 38 : 330 – 336 .
- Wheeler , H. , Fadel , J. R. C. and D’Aunno , T. A. 1992 . Ownership and performance of outpatient substance abuse treatment centers . American Journal of Public Health , 82 : 711 – 718 .
- Wilson , E. B. and Hilferty , M. M. 1931 . The distribution of Chi-square . Proceedings of the National Academy of Sciences . 1931 . Vol. 17 , pp. 684 – 688 .