Alternative derivations of a rule for early stopping in favor of H0

American Statistician

Volumn 54, Issue 1, 2000, Pages 35-39

  Betensky, Rebecca A ^a  

^a HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

Boundary crossing; Conditional power; Conditional probability ratio test; Predictive power; Sequential design; Stochastic curtailment

Indexed keywords

EID: 0034381017     PISSN: 00031305     EISSN: 15372731     Source Type: Journal    
DOI: 10.1080/00031305.2000.10474505     Document Type: Article

References (22)

1. Armitage, P., McPherson, C. K., and Rowe, B. C. (1969), “Repeated Significance Tests on Accumulating Data,” Journal of the Royal Statistical Society, Series A, 132, 235-244.
2. 0 Embedded in Sequential Tests,” Statistics in Medicine, 16, 465-477.
3. Betensky, R. A. (1997b), “Early Stopping to Accept Ho Based on Conditional Power: Approximations and Comparisons,” Biometrics, 53, 794-806.
4. Choi, S. C., and Pepple, P. A. (1989), “Monitoring Clinical Trials Based on Predictive Probability of Significance,” Biometrics, 45, 317-323.
5. DeMets, D. L., and Ware, J. H. (1980), “Group Sequential Methods for Clinical Trials With a One-Sided Hypothesis,” Biometrika, 67, 651-660.
6. DeMets, D. L., and Ware, J. H. (1982), “Asymmetric Group Sequential Boundaries for Monitoring Clinical Trials,” Biometrika, 69, 661-663.
7. Ellenberg, S. S., and Eisenberger, M. A. (1985), “An Efficient Design for Phase III Studies of Combination Chemotherapies,” Cancer Treatment Reports, 69, 1147-1154.
8. Herson, J. (1979), “Predictive Probability Early Termination Plans for Phase II Clinical Trials,” Biometrics, 35, 775-783.
9. Jennison, C. (1992), “Bootstrap Tests and Confidence Intervals for a Hazard Ratio When the Number of Observed Failures is Small, With Applications to Group Sequential Survival Studies,” in Computing Science and Statistics (vol. 22), eds. C. Page and R. LePage, New York: SpringerVerlag, pp. 89-97.
10. Jennison, C., and Turnbull, B. W. (1990), “Statistical Approaches to Interim Monitoring of Medical Trials: A Review and Commentary,” Statistical Science, 5, 299-317.
11. Lan, K. K. G., Simon, R., and Halperin, M. (1982), “Stochastically Curtailed Tests in Long-Term Clinical Trials,” Communications in Statistics, C1, 207-219.
12. Miller, R., and Siegmund, D. (1982), “Maximally Selected Chi-Square Statistics,” Biometrics, 38, 1011-1016.
13. O’Brien, P. C., and Fleming, T. R. (1979), “A Multiple Testing Procedure for Clinical Trials,” Biometrics, 35, 549-556.
14. Pampallona, S., and Tsiatis, A. A. (1994), “Group Sequential Designs for One-Sided and Two-Sided Hypothesis Testing With Provision for Early Stopping in Favor of the Null Hypothesis,” Journal of Statistical Planning and Inference, 42, 19-45.
15. Pepe, M. S., and Anderson, G. L. (1992), “Two-Stage Experimental Designs: Early Stopping With a Negative Result,” Applied Statistics, 41, 181-190.
16. Pocock, S. (1977), “Group Sequential Methods in the Design and Analysis of Clinical Trials,” Biometrika, 64, 191-200.
17. Siegmund, D. (1985), Sequential Analysis: Tests and Confidence Intervals, New York: Springer-Verlag.
18. Siegmund, D. (1986), “Boundary Crossing Probabilities and Statistical Applications,” The Annals of Statistics, 14, 361-404.
19. Spiegelhalter, D. J., Freedman, L. S., and Blackburn, P. R. (1986), “Monitoring Clinical Trials: Conditional or Predictive Power?,” Controlled Clinical Trials, 7, 8-17.
20. Wang, S. K., and Tsiatis, A. A. (1987), “Approximately Optimal One-Parameter Boundaries for Group Sequential Trials,” Biometrics, 43, 193-199.
21. Wieand, S., Schroeder, G., and O’Fallon, J. (1994), “Stopping When the Experimental Regimen Does Not Appear to Help,” Statistics in Medicine, 13, 1453-1458.
22. Xiong, X. (1995), “A Class of Sequential Conditional Probability Ratio Tests,” Journal of the American Statistical Association, 90, 1463-1473.