A closer examination on some parametric alternatives to the ANOVA F-test

Statistical Papers

Volumn 37, Issue , 1996, Pages 291-305

  De Beuckelaer, A ^a  

^a UNIVERSITY OF ANTWERP   (Belgium)

Author keywords

Brown Forsythe F*( test); Monte Carlo simulation; One way ANOVA design; Robust analysis of variance (ANOVA); Welch Vw( test)

Indexed keywords

EID: 0642311329     PISSN: 09325026     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02926110     Document Type: Article

References (18)

1. BRADLEY, J.V. (1978), Robustness?, The British Journal of Mathematical and Statistical Psychology, vol. 31, pp. 144-152.
2. BROWN, M.B. & FORSYTHE, A.B. (1974), The Small Sample Behavior of Some Test Statistics Which Test the Equality of Several Means, Technometrics, vol. 16, number 1, pp. 129-132.
3. CLINCH, J.J. & KESELMAN, H.J. (1982), Parametric Alternatives to the Analysis of Variance, Journal of Educational Statistics, vol. 7, pp. 207-214.
4. 2-tests, Biometrics, vol. 10, pp. 417-451.
5. DE BEUCKELAER, A. (1994), Testing the Omnibus Null-hypothesis in "Non-Standard" Situations, Antwerp: RUCA - STE, 14 p. (Working Paper; 1994:08)
6. GLASS, G.V., PECKHAM, P.D. & SANDERS, J.R. (1972), Consequences of Failure to Meet Assumptions Underlying the Fixed Effects Analysis of Variance and Covariance, Review of Educational Research, vol. 42, pp. 237-287.
7. JACCARD, J, BECKER, M.A., WOOD, G. (1984), Pairwise Multiple Comparison Procedures: A Review, Psychological Bulletin, vol. 96, number 3, pp. 589-596.
8. KENNY, D.A. &. JUDD, C.M. (1986), Consequences of Violating the Independence Assumption in Analysis of Variance, Psychological Bulletin, vol. 99, number 3, pp. 422-431.
9. KESELMAN, H.J., ROGAN, J.C. & FEIR-WALSCH, B.J. (1977), An Evaluation of Some Nonparametric and Parametric Tests for Location Equity, The British Journal of Mathematical and Statistical Psychology, vol. 30, pp. 213-221.
10. KINDERMAN, A.J. & RAMAGE, J.G. (1976), Computer Generation of Normal Random Variates, Journal of the American Statistical Association, vol. 71, number 356, pp. 893-896.
11. LAW, A.M. & KELTON, W.D. (1991), Simulation Modeling & Analysis, New York, McGraw-Hill, 759 p.
12. MAXWELL, S.E. & DELANEY, H.D. (1990), Designing Experiments and Analyzing Data, California, Wadsworth, 902 p.
13. MILLIGAN, G.W., WONG, D.S. & THOMPSON, P.A. (1987), Robustness Properties of Nonorthogonal Analysis of Variance, Psychological Bulletin, vol. 101, number 3, pp. 464-470.
14. OLEJNIK, S.F. (1987), Conditional ANOVA for Mean Differences When Population Variances Are Unknown, Journal of Experimental Education, vol. 55, number 3, pp. 141-148.
15. ROGAN, J.C. & KESELMAN, H.J. (1977), Is the ANOVA F-test Robust to Variance Heterogeneity When Sample Sizes are Equal?: An Investigation via a Coefficient of Variation, American Educational Research Journal, vol. 14, number 4, pp. 493-498.
16. TOMARKEN, A.J. & SERLIN, R.C. (1986), Comparison of ANOVA Alternatives Under Variance Heterogeneity and Specific Noncentrality Structures, Psychological Bulletin, vol. 99, number 1, pp. 90-99.
17. WELCH, B.L. (1951), On the Comparison of Several Mean Values: An Alternative Approach, Biometrika, vol. 38, pp. 330-336.
18. WILCOX, R.R., CHARLIN, V.L. & THOMPSON, K.L. (1986), New Monte Carlo Results on the Robustness of the ANOVA F, W, and F* Statistics, Communications in Statistics - Simulation and Computation, vol. 15, pp. 933-943.