Testing for homogeneity in a general one-way classification with fixed effects: Power simulations and comparative study

Computational Statistics and Data Analysis

Volumn 44, Issue 4, 2004, Pages 603-612

  Argaç, Dogan ^a  

^a TU DORTMUND UNIVERSITY   (Germany)

Author keywords

Generalized Behrens Fisher problem; Heteroscedastic variances; Mean equality; Power of tests

Indexed keywords

COMPUTER SIMULATION; DATA REDUCTION; ERROR ANALYSIS;

ERROR VARIANCES;

STATISTICAL METHODS;

STATISTICAL ANALYSIS;

EID: 0345375358     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(02)00264-5     Document Type: Article

References (21)

1. Asiribo O. Gurland J. Coping with variance heterogeneity Comm. Statist. Theory Methods 19 1990 4029-4048
2. Boik J.B. The Fisher-Pitman permutation test: a non-robust alternative to the normal theory F test when variances are heterogeneous British J. Math. Statist. Psychol. 40 1987 26-42
3. 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 Ann. Math. Statist. 25 1954 290-302
4. Bradbury I.S. Approximations to permutation distribution in the completely randomized design Comm. Statist. Theory Methods 17 1988 543-555
5. Brown M.B. Forsythe A.B. The small sample behavior of some statistics which test the equality of several means Technometrics 16 1974 129-132
6. Cochran W.G. Problems arising in the analysis of a series of similar experiments J. Roy. Statist. Soc. 4 Suppl. 1937 102-118
7. De Beuckelaer A. A closer examination on some parametric alternatives to the ANOVA F-test Statist. Papers 37 1996 291-305
8. Efron B. Controversies in the foundations of statistics Amer. Math. Monthly 85 1978 231-246
9. Gamage J. Weerahandi S. Size performance of some tests in one-way ANOVA Comm. Statist. Simulation Comput. 27 1998 625-640
10. Hartung J. Argaç D. Makambi K.H. Small sample properties of tests on homogeneity in one-way ANOVA and meta-analysis Statist. Papers 43 2002 197-235
11. James G.S. The comparison of several groups of observations when the ratios of population variances are unknown Biometrika 38 1951 324-329
12. Keselman H.J. Wilcox R.R. The 'improved' Brown and Forsythe test for mean equality: some things can't be fixed Comm. Statist. Simulation Comput. 28 1999 687-698
13. Krutchkoff R.G. One-way fixed effects analysis of variance when the error variances may be unequal J. Statist. Comput. Simulation 30 1988 177-183
14. Lehmann E.L. Testing Statistical Hypotheses 2nd Edition 1986 Wiley New York
15. Mehrotra D.V. Improving the Brown-Forsythe solution to the generalized Behrens-Fisher problem Comm. Statist. Simulation Comput. 26 1997 1139-1145
16. Rice W.R. Gaines S.D. One-way analysis of variance with unequal variances Proc. Nat. Acad. Sci. USA 86 1989 8183-8184
17. Rubin, A.S., 1983. The use of weighted contrasts in analysis of models with heterogeneity of variance. Proceedings of the Business and Economics Statistics Section, American Statistical Association, pp. 347-352.
18. Scheffé H. The Analysis of Variance 1959 Wiley New York
19. Weerahandi S. ANOVA with unequal variances Biometrics 51 1995 589-599
20. Weerahandi S. Exact Statistical Methods for Data Analysis 1995 Springer New York
21. Welch B.L. On the comparison of several mean values: an alternative approach Biometrika 38 1951 330-336