The weighted log-rank class of permutation tests: P-values and confidence intervals using saddlepoint methods

Biometrika

Volumn 94, Issue 3, 2007, Pages 543-551

  Abd Elfattah, Ehab F ^a   Butler, Ronald W ^b  

^a AIN SHAMS UNIVERSITY   (Egypt)

^b SOUTHERN METHODIST UNIVERSITY   (United States)

Author keywords

Linear rank test; Log rank test; Mid p value; Permutation distribution; Saddlepoint approximation; Weighted log rank class

Indexed keywords

EID: 34548528307     PISSN: 00063444     EISSN: 14643510     Source Type: Journal    
DOI: 10.1093/biomet/asm060     Document Type: Article

References (25)

1. AGRESTE, A. (1992). A survey of exact inference for contingency tables. Statist. Sci. 7, 131-53.
2. BOOTH, J. G. & BUTLER, RW. (1990). Randomization distributions and saddlepoint approximations in generalized linear models. Biometrika 77, 787-96.
3. BOX, G. E. P & ANDERSON, S. L. (1955). Permutation theory in the derivation of robust criteria and the study of departures from assumption (with Discussion). J. R Statist. Soc. B 17, 1-34.
4. BUTLER, R. W. (2007). Saddlepoint Approximations with Applications. Cambridge: Cambridge University Press.
5. COX, D. R. (1958). The regression analysis of binary sequences (with Discussion). J. R. Statist. Soc. B 20, 215-42.
6. DANIELS, H. E. (1955). Discussion of a paper by G.E.P. Box and S.L. Anderson. J. R. Statist. Soc. B 17, 27-8.
7. DANIELS, H. E. (1958). Discussion of a paper by D.R. Cox. J. R. Statist. Soc. B 20, 236-8.
8. DAVISON, A. C & HINKLEY, D. V. (1988). Saddlepoint approximations in resampling methods. Biometrika 75, 417-31.
9. DAVISON, A. C. & WANG, S. (2002). Saddlepoint approximations as smoothers. Biometrika 89, 933-8.
10. FLEMING, T. & HARRINGTON, D. P. (1981). A class of hypothesis tests for one and two samples censored survival data. Commun. Statist. A10, 763-94.
11. GARTHWAITE, P. H. (1996). Confidence intervals from randomization tests. Biometrics 52, 1387-93.
12. GEHAN, E. A. (1965). A generalized Wilcoxon test for comparing arbitrarily singly-censored samples. Biometrika 52, 203-23.
13. HELLER, G. & VENKATRAMAN, E. S. (1996). Resampling procedures to compare two survival distributions in the presence of right censored data. Biometrics 52, 1204-13.
14. HENRICI, P. (1977). Applied and Computational Complex Analysis. Vol. 2. Special Functions-Integral Transforms-Asymptotics-Continued Fractions. New York: Wiley.
15. KALBFLEISCH, J. D. & PRENTICE, R. L. (2002). The Statistical Analysis of Failure Time Data, 2nd ed. New York: Wiley.
16. KIM, D. & AGRESTI, A. (1995). Improved exact inference about conditional association in three-way contingency tables. J. Am. Statist. Assoc. 90, 632-9.
17. PETO, R. & PETO, J. (1972). Asymptotically efficient rank invariant test procedures. J. R Statist. Soc. A 135, 185-206.
18. PIERCE, D. A. & PETERS, D. (1992). Practical use of higher order asymptotics for multiparameter exponential families (with Discussion). J. R. Statist. Soc. B 54, 701-37.
19. PIKE, M. C. (1966). A method of analysis of a certain class of experiments in carcinogenesis. Biometrics 22, 142-61.
20. PRENTICE, R. L. (1978). Linear rank tests with right censored data. Biometrika 65, 167-79.
21. ROBINSON, J. (1982). Saddlepoint approximations for permutation tests and confidence intervals. J. R Statist. Soc. B 44, 91-101.
22. ROUTLEDGE, R. D. (1994). Practicing safe statistics with the mid-p. Can. J. Statist. 22, 103-10.
23. SKOVGAARD, I. M. (1987). Saddlepoint expansions for conditional distributions. J. Appl. Prob. 24, 875-87.
24. TARONE, R. & WARE, J. (1977). On distribution-free tests for equality of survival distributions. Biometrika 64, 156-60.
25. TRITCHLER, D. (1984). On inverting permutation tests. J. Am. Statist. Assoc. 79, 200-7.