Robust analogs of Hotelling's two-sample T2

Communications in Statistics - Theory and Methods

Volumn 29, Issue 12, 2000, Pages 2717-2749

  Mudholkar, Govind S ^a   Srivastava, Deo Kumar ^b  

^a UNIVERSITY OF ROCHESTER   (United States)

^b ST JUDE CHILDREN S RESEARCH HOSPITAL   (United States)

Author keywords

Behrens Fisher; Coordinatewise trimming; Null distribution approximation; Pooling

Indexed keywords

EID: 30844433100     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610920008832633     Document Type: Article

References (27)

1. Anderson, T. W. (1984). An Introduction to Multivariate Statistical Analysis, John Wiley & Sons, New York.
2. 2." Biometrical Journal, Vol. 23, No. 4, 405-412.
3. 2." Technometrics, 13, 191-198.
4. Bradley, R. A., Patel, K. M., and Wackerly, D. D. (1971). "Approximate Small-Sample distributions for Multivariate Two-Sample Nonparametric Tests. Biometrics, 27, 515-5330.
5. 2." Journal of the American Statistical Association, 66, No. 335, 499-502.
6. 2 Tests." Journal of the American Statistical Association, 74, 48-51.
7. Geary, R. C. (1947). "Testing for Normality." Biometrika, 34, 209-242.
8. Huber, P. J. (1981). Robust Statistics, John Wiley & Sons, New York.
9. Johnson, M. E. (1987). Multivariate Statistical Simulation, John Wiley & Sons, New York.
10. Kim, Deong-Ju. (1992). "The metrically trimmed mean as a robust estimator of location." Annals of Statistics, 20, N0. 3, 1534-1537.
11. Maller, R. A. (1991). Multivariate Trimmed Sums. In: Sums, Trimmed Sums and Extremes, Series : Progress in probability, Vol 23, Editors: Hahn, M. G., Mason, D. M., and Weiner, D. C., published by Birkhauser, Boston.
12. 2 Test." Applied Statistics, 24, 163-171.
13. Maronna, R. A. (1976). "Robust M-estimators of Multivariate Location and Scatter." Annals of Statistics, 4, 51-67.
14. Mudholkar, A., Mudholkar, G. S., and Srivastava, D. K. (1991). "A Construction and Appraisal of Pooled Trimmed-t Statistics." Communications in Statistics - Theory and Methods, 20(4), 1345-1359.
15. Mudholkar, G. S., and Srivastava, D. K. (1999, a). "The Elusive and Illusory Multivariate Normality." To appear in the IISA Conference Proceedings Volume, (Gordon and Breach).
16. 2." Submitted to the Journal of Statistical Planning and Inference.
17. Muirhead, R. J. (1982). Aspects of Multivariate Statistical Theory, John Wiley & Sons, New York.
18. Prescott, P. (1975). "A Simple Alternative to Student's t." Applied Statistics, 24, 210-217.
19. Prescott, P. (1978). "Selection of Trimming Proportions for Robust Adaptive Trimmed Means." Journal of the American Statistical Association, 73, 133-140.
20. Puri, M. L., and Sen, P. K. (1971). Nonparametric Methods in Multivariate Analysis, John Wiley & Sons, New York.
21. Rao, C. R. (1973). Linear Statistical Inference and its Applications, 2nd edition, John Wiley & Sons, New York.
22. Seber, G. A. F. (1984). Multivariate Observations, John Wiley & Sons, New York.
23. 2-Test and Distribution of Linear and Quadratic Forms in Sampling from a Mixture of Two Multivariate Normal Populations." Communications in Statistics - Theory and Methods, 11(1), 81-107.
24. Stigler, S. M. (1977). "Do Robust Estimators Work with Real Data?" Annals of Statistics, 5, 1055-1098.
25. 2 Statistics Based on the Modified maximum Likelihood Estimators." Communications in Statistics - Theory and Methods, 17(6),1789-1810.
26. Tiku, M. L., and Singh, M. (1982). "Robust Statistics for Testing Mean Vectors of Multivariate Distributions." Communications in Statistics - Theory and Methods, 11(9), 985-1001.
27. Tukey, J. W., and McLaughlin, D. H. (1963). "Less Vulnerable Confidence and Significance Procedures for Location Based on a Single Sample : Trimming/Winsorization." Sankhya A, 25, 331-352.