Permutation tests using estimated distribution functions

Journal of the American Statistical Association

Volumn 93, Issue 441, 1998, Pages 387-396

  Fay, Michael P ^a   Shih, Joanna H ^b  

^a NATIONAL CANCER INSTITUTE   (United States)

^b NATIONAL HEART LUNG AND BLOOD INSTITUTE   (United States)

Author keywords

Censored data; Randomization test; Rank test; Repeated measures

Indexed keywords

EID: 0032340649     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1998.10474120     Document Type: Article

References (31)

1. Akritas, M. G. (1990), "The Rank Transform Method in Some Two-Factor Designs," Journal of the American Statistical Association, 85, 73-78.
2. Breslow, N. (1970), "A Generalized Kruskal-Wallis Test for Comparing K Samples Subject to Unequal Patterns of Censorship," Biometrika, 57, 579-594.
3. Dempster, A. P., Laird, N. M., and Rubin, D. B. (1977), "Maximum Likelihood From Incomplete Data via the EM Algorithm" (with discussion). Journal of the Royal Statistical Society, Ser. B, 39, 1-38.
4. Edwardes, M. D. (1995), “A Confidence Interval for Pr(X < Y)-Pr(X > Y) Estimated From Simple Cluster Samples," Biometrics, 51, 571-578.
5. Efron, B. (1967), 'The Two Sample Problem With Censored Data," in Pwceedings of the 5th Berkeley Symposium. 4, 831-853.
6. Fay, M. P. (1996), "Rank Invariant Tests for Interval Censored Data Under the Grouped Continuous Model," Biometrics, 52, 811-822.
7. Fay, M. P., and Gennings, C. (1996), "Nonparametric Two-Sample Tests for Repeated Ordinal Responses," Statistics in Medicine. 15, 429-442.
8. Ferguson, T. S., Eswar, G. P., and Tiwari, R. C. (1992), "Bayesian Nonparametric Inference," in Current Issues in Statistical Inference: Essays in Honor of D. Basu, eds. M. Ghosh and P. K. Pathak, Hayward, CA: Institute of Mathematical Statistics.
9. Finkelstein, D. M., and Wolfe, R. A. (1985), "A Semiparametric Model for Regression Analysis of Interval-Censored Failure Time Data," Biometrics, 41, 933-945.
10. Gehan, E. A. (1965), "A Generalized Wilcoxon Test for Comparing Arbitrarily Singly Censored Samples," Biometrikay 52, 203-223.
11. Gentleman, R., and Geyer, C. J. (1994), "Maximum Likelihood for Interval Censored Data: Consistency and Computation," Biometrika, 81, 618-623.
12. Ghosh, M., Lahiri, P., and Tiwari, R. C. (1989), "Nonparametric Empirical Bayes Estimation of the Distribution Function and the Mean," Communications in Statistics, Part A-Theory and Methods, 18, 121-146.
13. Groeneboom, P., and Wellner, J. A. (1992), Information Bounds and Nonparametric Maxinum Likelihood Estimation, Boston: Birkháuser-Verlag.
14. Hettmanspcrger, T. P. (1984), Statistical Inference Based on Ranks, Malabar, FL: Krieger.
15. Heitjan, D. F. (1993), "Ignorability and Coarse Data: Some Biomedical Examples," Biometrics, 49, 1099-1109.
16. Heitjan, D. F., and Rubin, D. B. (1991), "Ignorability and Coarse Data," The Annals of Statistics, 19, 2244-2253.
17. James, I. R. (1987), 'Tests for Location With k Samples and Censored Data," Biometrika. 74, 599-607.
18. Kalbfleisch, J. D., and Prentice, R. L. (1980), The Statistical Analysis of Failure Time Data, New York: Wiley.
19. Latta, R. B. (1981), "A Monte Carlo Study of Some Two-Sample Rank Tests With Censored Data," Journal of the American Statistical Association, 76, 713-719.
20. Mantel, N. (1967), ''Ranking Procedures for Arbitrarily Restricted Observation," Biometrics, 23, 65-78.
21. National Center for Health Statistics (1985), Plan and Operation of the Hispanic Health and Nutrition Examination Surrey, 1982-1984. Vital Health Statistics, Series 1, No. 19, DHHS Publ. No. (PHS) 85-1321, Washington, D.C.: U.S. Government Printing Office.
22. O'Brien, P. C., and Fleming, T. R. (1987), "A Paired Prentice-Wilcoxon Test for Censored Paired Data," Biometrics, 43, 169-180.
23. Pepe, M. S., and Fleming, T. R. (1989), ''Weighted Kaplan-Meier Statistics: A Class of Distance Tests for Censored Survival Data," Biometrics, 45, 497-507.
24. Pepe, M. S., and Fleming, T. R. (1991), ''Weighted Kaplan-Meier Statistics: Large Sample and Optimality Considerations," Journal of the Royal Statistic Society, Ser. B, 53, 341-352.
25. Peto, R., and Peto, J. (1972), "Asymptotically Efficient Rank Invariant Test Procedures" (with discussion). Journal of the Royal Statistical Society, Scr. A, 135, 185-206.
26. Petroni, G. R., and Wolfe, R. A. (1994), "A Two-Sample Test for Stochastic Ordering With Interval-Censored Data," Biometrics, 50, 77-87.
27. Prentice, R. L., and Marek, P. (1979), "A Qualitative Discrepancy Between Censored Data Rank Tests," Biometrics, 35, 861-867.
28. Puri, M. L., and Sen, P. K. (1985), Nonparametric Methods in General Linear Models, New York: Wiley.
29. SAS Institute, Inc. (1992), SAS/STAT Software: Changes and Enhancements, Release 6.07, Cary, NC: Author.
30. Serfling, R. J. (1980), Approximation Theorems of Mathematical Statistics, New York: Wiley.
31. Turnbull, B. W. (1976), "The Empirical Distribution Function With Arbitrarily Grouped, Censored, and Truncated Data," Journal of the Royal Statistical Society, Ser. B, 38, 290-295.