Tests for homogeneity of variances using robust weighted likelihood estimates

Biometrical Journal

Volumn 41, Issue 7, 1999, Pages 857-871

  Sarkar, Sahadeb ^a,d   Kim, Chansoo ^b   Basu, Ayanendranath ^c  

^a INDIAN INSTITUTE OF MANAGEMENT CALCUTTA   (India)

^b Chung Ang University   (South Korea)

^c INDIAN STATISTICAL INSTITUTE   (India)

^d OKLAHOMA STATE UNIVERSITY   (United States)

Author keywords

Brown Forsythe's test; Common variance; Hellinger distance; Levene's test; Power; Robustness; Simulation; Weighted likelihood estimation

Indexed keywords

BROWN-FORSYTHE TEST; COMMON VARIANCE; HELLINGER DISTANCE; LEVENE'S TEST; LIKELIHOOD ESTIMATE; LIKELIHOOD ESTIMATION; POWER; ROBUSTNESS; SIMULATION; WEIGHTED LIKELIHOOD ESTIMATION;

EID: 0033468499     PISSN: 03233847     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1521-4036(199911)41:7<857::aid-bimj857>3.3.co;2-o     Document Type: Article

References (24)

1. BARTLETT, B. A., 1937: Properties of sufficiency and statistical tests. Proceedings of the Royal Society of London A 160, 268-282.
2. BASU, A., HARRIS, I. R., and BASU, S., 1996: Tests of hypothesis in discrete models based on the penalized Hellinger distance. Statistics & Probability Letters 27, 367-373.
3. BASU, A., HARRIS, I. R., and BASU, S., 1997: Minimum distance estimation: The approach using density based distances. In: G. S. Maddala and C. R. Rao, (eds.): Handbook of Statistics 15. Elsevier Science B. V., Amsterdam, The Netherlands, 21-48.
4. BASU, A. and LINDSAY, B. G., 1994: Minimum Disparity estimation in the continuous Case: Efficiency, Distributions and Robustness. Annals of Institute of Statistical Mathematics 46, 683-705.
5. BASU, S., SARKAR, S., and BASU, A., 1997: Robust tests for equality of two population means under the normal model. Communication in Statistics: Simulation and Computation 26, 333-353.
6. BERAN, R. J., 1977: Minimum Hellinger distance estimates for parametric models. Annals of Statistics 5, 445-463.
7. BOX, G. E. P., 1953: Non-normality and tests on variances. Biometrika 40, 318-335.
8. BROWN, M. B. and FORSYTHE, A. B., 1974: Robust test for the equality of variance. Journal of American Statistical Association 69, 364-367.
9. CRESSIE, N. and READ, T. R. C., 1984: Multivariate goodness-of-fit tests. Journal of the Royal Statistical Society B 46, 440-464.
10. 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, 315-361.
11. FLIGNER, M. A. and KILLEEN, T. J., 1976: Distribution-free two sample tests for scale. Journal of American Statistical Association 71, 210-213.
12. GARTSIDE, P. S., 1972: A study of methods for comparing several variances. Journal of American Statistical Association 67, 342-346.
13. LAYARD, M. W. J., 1973: Robust large-sample tests for homogeneity of variance. Journal of American Statistical Association 68, 195-198.
14. LEVENE, H., 1960: Robust tests for equality of variances. In: I. Olkin, S. G. Ghurye, W. Hoeffding, W. G. Madow, and H. B. Mann (eds.): Contributions to Probability and Statistics. Stanford University Press, Stanford, California.
15. LINDSAY, B. G., 1994: Efficiency versus robustness: the case for minimum Hellinger distance and related methods. Annals of Statistics 22, 1081-1114.
16. MARKATOU, M., BASU, A., and LINDSAY, B. G., 1996: Weighted likelihood estimating equations: The continuous case. Technical Report No 323, Department of Statistics, Stanford University, California, U.S.A.
17. MARKATOU, M., BASU, A., and LINDSAY, B. G., 1997: Weighted likelihood estimating equations: The discrete case with applications to logistic regression. Journal of Statistical Planning and Inference 57, 215-232.
18. MILLER, R. G., 1968: Jackknifing variance. Annals of Mathematical Statistics 39, 567-582.
19. MILLIKEN, G. A. and JOHNSON, D. E., 1984: Analysis of Messy Data, Volume 1: Designed Experiments. Van Nostrand Reinhold Company, New York.
20. SCHNEIDER, H. and CARROLL, R. J., 1985: A note on Levene's tests for equality of variances. Statistics and Probability Letters 3, 191-194.
21. SIMPSON, D. G., 1987: Minimum Hellinger distance estimation for analysis of count data. Journal of American Statistical Association 82, 802-807.
22. SIMPSON, D. G., 1989: Hellinger deviance tests: Efficiency, breakdown points and examples. Journal of American Statistical Association 84, 107-113.
23. TAMURA, R. N. and BOOS, D. D., 1986: Minimum Hellinger distance estimation for multivariate location and covariance. Journal of American Statistical Association 81, 223-229.
24. TIKU, M. L. and BALAKRISHNAN, N., 1984: Testing equality of population variance the robust way. Communications in Statistics: Theory and Methods 13, 2143-2159.