Multiple Tests with Discrete Distributions

American Statistician

Volumn 51, Issue 1, 1997, Pages 3-8

  Westfall, Peter H ^a   Wolfinger, Russell D ^b  

^a TEXAS TECH UNIVERSITY   (United States)

^b SAS INSTITUTE INC   (United States)

Author keywords

Adjusted p value; Bonferroni inequality; Familywise error rate; Multinomial data; Permutation distribution; Stepwise methods

Indexed keywords

EID: 0031521660     PISSN: 00031305     EISSN: 15372731     Source Type: Journal    
DOI: 10.1080/00031305.1997.10473577     Document Type: Article

References (24)

1. Edwards, D., and Berry, J. J. (1987), “The Efficiency of Simulation-Based Multiple Comparisons,” Biometrics, 43, 913-928.
2. Farrar, D. B., and Crump, K. S. (1988), “Exact Tests for Any Carcinogenic Effect in Animal Bioassays,” Fundamental and Applied Toxicology, 11, 652-663.
3. Heyse, J. F., and Rom, D. M. (1988), “Adjusting for Multiplicity of Statistical Tests in the Analysis of Carcinogenicity Studies,” Biometrical Journal, 30, 883-896.
4. Hochberg, Y. (1988), “A Sharper Bonferroni Procedure for Multiple Tests of Significance,” Biometrika, 75, 800-802.
5. Hochberg, Y., and Tamhane, A. C. (1987), Multiple Comparison Procedures, New York: John Wiley.
6. Holm, S. (1979), “A Simple Sequentially Rejective Multiple Test Procedure,” Scandinavian Journal of Statistics, 6, 65-70.
7. Jogdeo, K. (1977), “Association and Probability Inequalities,” The Annals of Statistics, 5, 495-504.
8. Koch, G. G., Carr, G. J., Amara, I. A., Stokes, M. E., and Uryniak, T. J. (1990), “Categorical Data Analysis,” in Statistical Methodology in the Pharmaceutical Sciences, ed. D. A. Berry, New York: Marcel Dekker, chap. 3.
9. Lancaster, H. O. (1961), “Significance Tests in Discrete Distributions,” Journal of the American Statistical Association, 56, 225-234.
10. Mantel, N. (1980), “Assessing Laboratory Evidence for Neoplastic Activity,” Biometrics, 36, 381-399.
11. Naiman, D. Q., and Wynn, H. P. (1992), “Inclusion-Exclusion-Bonferroni Identities and Inequalities for Discrete Tube-Like Problems via Euler Characteristics,” The Annals of Statistics, 20, 43-76.
12. Petrondas, D. A., and Gabriel, K. R. (1983), “Multiple Comparisons by Randomization Tests,” Journal of the American Statistical Association, 78, 949-957.
13. Reid, N. (1995), “The Roles of Conditioning in Inference,” Statistical Science, 10, 138-157.
14. Rom, D. M. (1992), “Strengthening Some Common Multiple Test Procedures for Discrete Data,” Statistics in Medicine, 11, 511-514.
15. SAS Institute, Inc. (1995), MULTTEST Procedure: Experimental Upgrade, Cary, NC: SAS Institute Inc.
16. Saville, D. J. (1990), “Multiple Comparison Procedures: The Practical Solution,” The American Statistician, 44, 174-180.
17. Shaffer, J. P. (1986), “Modified Sequentially Rejective Multiple Test Procedures,” Journal of the American Statistical Association, 81, 826-831.
18. Sidak, Z. (1967), “Rectangular Confidence Regions for the Means of Multivariate Normal Distributions,” Journal of the American Statistical Association, 62, 626-633.
19. Simes, R. J. (1986), “An Improved Bonferroni Procedure for Multiple Tests of Significance,” Biometrika, 73, 751-754.
20. Slepian, D. (1962), “The One-Sided Barrier Problem for Gaussian Noise,” Bell Systems Technical Journal, 41, 463-501.
21. Tarone, R. E. (1990), “A Modified Bonferroni Method for Discrete Data,” Biometrics, 46, 515-522.
22. Troendle, J. F. (1996), “A Permutational Step-Up Method of Testing Multiple Outcomes,” Biometrics, 52, 125-138.
23. Westfall, P. H., and Young, S. S. (1993), Resampling-Based Multiple Testing, New York: John Wiley.
24. Yates, F. (1984), “Tests of Significance for 2 x 2 Contingency Tables” (with discussion), Journal of the Royal Statistical Society, Ser. A, 147, 426-463.