Robust tests for treatment comparisons based on recurrent event responses

Biometrics

Volumn 52, Issue 2, 1996, Pages 557-571

  Cook, Richard J ^a   Lawless, Jerald F ^a   Nadeau, Claude ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Cumulative mean function; Point processes; Power; Recurrent events; Size

Indexed keywords

STATISTICAL TESTS;

CUMULATIVE MEAN FUNCTION; EVENT-RESPONSE; LONGITUDINAL STUDY; MEAN FUNCTIONS; NONPARAMETRIC TESTS; POINT PROCESS; POWER; RECURRENT EVENTS; ROBUST TESTS; SIZE;

ERROR ANALYSIS;

ARTICLE; CANCER DIAGNOSIS; DATA ANALYSIS; DIAGNOSTIC ACCURACY; HAZARD; KIDNEY TRANSPLANTATION; RECURRENT DISEASE; STATISTICAL ANALYSIS; TREATMENT PLANNING;

EID: 0030000040     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2532895     Document Type: Article

References (25)

1. Aalen, O. O. and Husebye, E. (1991). Statistical analysis of repeated events forming renewal processes. Statistics in Medicine 10, 1227-1240.
2. Abu-Libdeh, H., Turnbull, B. W., and Clark, L. C. (1990). Analysis of multi-type recurrent events in longitudinal studies; application to a skin cancer prevention trial. Biometrics 46, 1017-1034.
3. Albert, P. S. (1991). A two-state Markov mixture model for a time series of epileptic seizure counts. Biometrics 47, 1371-1381.
4. Andersen, P. K., Borgan, O., Gill, R. D., and Keiding, N. (1993). Statistical Models Based on Counting Processes. New York: Springer-Verlag.
5. Cole, E. H., Cattran, D. C., Farewell, V. T., Aprile, M., Bear, R. A., Pei, Y. P., Fenton, S. S., Tober, J. L., and Cardella, C. J. (1994). A comparison of rabbit anti-thymocyte serum and OKT3 as prophylaxis against renal allograft rejection. Transplantation 57, 60-67.
6. Cook, J. A. and Lawless, J. F. (1991). Two-sample tests with multinomial or grouped failure time data. Biometrics 47, 445-459.
7. Cook, R. J. (1995). The design and analysis of randomized trials with recurrent events. Statistics in Medicine 14, 2081-2098.
8. Cook, R. J. and Lawless, J. F. (1996). Marginal analysis of recurrent events and a terminating event. Statistics in Medicine, in press.
9. Cox, D. R. and Isham, V. (1980). Point Processes. London: Chapman and Hall.
10. Fleming, T. R. and Harrington, D. P. (1991). Counting Processes and Survival Analysis. New York: John Wiley and Sons.
11. Freedman, L., Sylvester, R., and Byar, D. P. (1989). Using permutation tests and bootstrap confidence intervals to analyse repeated events data from clinical trials. Controlled Clinical Trials 10, 129-141.
12. Gail, M. H., Santner, T. J., and Brown, C. C. (1980). An analysis of comparative carcinogenesis experiments based on multiple times to tumor. Biometrics 36, 255-266.
13. Lawless, J. F. (1987). Regression methods for Poisson process data. Journal of the American Statistical Association 82, 808-815.
14. Lawless, J. F. and Nadeau, J. C. (1995). Nonparametric estimation of cumulative mean functions for recurrent events. Technometrics 37, 158-168.
15. Mallolas, J., Zamora, L., Gatell, J. M., Miro, J. M., Vernet, E., Valls, M. E., Soriano, E., and SanMiguel, J. M. (1993). Primary prophylaxis for Pneumocystis carinii pneumonia: A randomized trial comparing cotrimoxazole, aerosolized pentamidine and dapsone plus pyrimethamine. AIDS 7, 59-64.
16. Moertel, C. G., Fleming, T. R., MacDonald, J. S., Haller, D. G., Laurie, J. A., Goodman, P. J., Ungerleider, J. S., Emerson, W. A., Tormey, D. C., Glick, J. H., Veeder, M. H., and Maillard, J. A. (1990). Levamisole and fluorouracil for adjuvant therapy of resected colon carcinoma. New England Journal of Medicine 322, 352-358.
17. Nelson, P. W., Jaffers, G. J., Fuller, T. C., Cosimi, A. B., and Colvin, R. B. (1985). Reduction of immune response to OKT3 monoclonal antibody. Transplantation Proceedings 17(1), 644-654.
18. Nelson, W. B. (1988). Graphical analysis of system repair data. Journal of Quality Technology 20, 24-35.
19. NASCET (North American Symptomatic Carotid Endarterectomy Trial Collaborators). (1991). Beneficial effect of carotid endarterectomy in symptomatic patients with high-grade carotid stenosis. New England Journal of Medicine 325, 445-453.
20. O'Brien, P. C. (1984). Procedures for comparing samples with multiple endpoints. Biometrics 40, 1079-1087.
21. Prentice, R. L., Williams, B. J., and Peterson, A. V. (1981). On the regression analysis of multivariate failure time data. Biometrika 68, 373-379.
22. Rubin, D. B. (1976). Inference and missing data. Biometrika 63, 581-592.
23. Thall, P. F. (1988). Mixed Poisson likelihood regression models for longitudinal interval count data. Biometrics 44, 197-209.
24. Wei, L. J. and Lachin, J. M. (1984). Two-sample asymptotically distribution-free tests for incomplete multivariate observations. Journal of the American Statistical Association 79, 653-661.
25. Wei, L. J., Lin, D. Y., and Weissfeld, L. (1989). Regression analysis of multivariate incomplete failure time data by modeling marginal distributions. Journal of the American Statistical Association 84, 1065-1073.