CONDITIONAL PROBABILITY OF SIGNIFICANCE FOR EARLY STOPPING IN FAVOR OF H₀

REFERENCES

• Armitage , P. , McPherson , C. and Rowe , B. 1969 . Repeated Significance Tests on Accumulating Data . Journal of the Royal Statistical Society, Series A , 132 : 235 – 44 .
   Google Scholar
• Betensky , R. 1997a . Conditional Power Calculations for Early Acceptance of H 0 Embedded in Sequential Tests . Statistic in Medicine , 16 : 465 – 77 .
   Google Scholar
• Betensky , R. 1997b . Early Stopping to Accept H 0 Based on Conditional Power: Approximations and Comparisons . Biometrics , 53 : 794 – 806 .
   Google Scholar
• Betensky , R. 2000 . Alternative Derivations of a Rule for Early Stopping in Favor of H 0 . The American Statistician , 54 : 35 – 39 .
   Google Scholar
• Choi , S. and Pepple , P. 1989 . Monitoring Clinical Trials Based on Predictive Probability of Significance . Biometrics , 45 : 317 – 23 .
   Google Scholar
• Davis , B. and Hardy , R. 1990 . Upper Bounds for Type I and Type II Error Rates in Conditional Power Calculations . Comm. Statist. , A 19 : 3571 – 3584 .
   Google Scholar
• DeMets , D. and Ware , J. 1980 . Group Sequential Methods for Clinical Trials with a One-Sided Hypothesis . Biometrika , 67 : 651 – 60 .
   Google Scholar
• DeMets , D. and Ware , J. 1982 . Symmetric Group Sequential Boundaries for Monitoring Clinical Trials . Biometrika , 69 : 661 – 63 .
   Google Scholar
• Emerson , S.S. and Fleming , T.R. 1989 . Symmetric Group Sequential Test Designs . Biometrics , 45 : 905 – 23 .
   Google Scholar
• Herson , J. 1979 . Predictive Probability Early Termination Plans for Phase II Clinical Trials . Biometrics , 35 : 775 – 83 .
   Google Scholar
• Jennison , C. 1992 . “ Bootstrap Tests and Confidence Intervals for a Hazard Ratio when the Number of Observed Failures is Small, with Application to Group Sequential Survival Studies ” . In Computing Science and Statistics pp. 89 – 97 . New York : Springer-Verlag .
   Google Scholar
• Jennison , C. and Turnbull , B. 1990 . Statistical Approaches to Interim Monitoring of Medical Trials: A Review and Commentary . Statistical Science , 5 : 299 – 317 .
   Google Scholar
• Jennison , C. and Turnbull , B. 2000 . Group Sequential Methods with Applications to Clinical Trials Chapman & Hall/CRC . Chap. 10
   Google Scholar
• Lan , K. , Simon , R. and Halperin , M. 1982 . Stochastically Curtailed Tests in Long-Term Clinical Trials . Comm. Statist. , 1 : 207 – 19 .
   Google Scholar
• Lan , K. and Wittes , J. 1988 . The B-Value: A Tool for Monitoring Data . Biometrics , 44 : 579 – 85 .
   Google Scholar
• O'Brien , P. and Fleming , T. 1979 . A Multiple Testing Procedure for Clinical Trials . Biometrics , 35 : 549 – 66 .
   Google Scholar
• Pampallona , S. and Tsiatis , A. 1994 . Group Sequential Designs for One-Sided and Two-Sided Hypothesis Testing with Provision for Early Stopping in Favor of the Null Hypothesis . J. Statist. Planning Infer. , 42 : 19 – 45 .
   Google Scholar
• Pepe , M. and Anderson , G. 1992 . Two-Stage Experimental Designs: Early Stopping with a Negative Result . Applied Statistics , 41 : 181 – 90 .
   Google Scholar
• Siegmund , D. 1985 . Sequential Analysis: Tests and Confidence Intervals 62 – 63 . New York : Springer-Verlag .
   Google Scholar
• Siegmund , D. 1986 . Boundary Crossing Probabilities and Statistical Applications . Ann. Statist. , 14 : 361 – 404 .
   Google Scholar
• Spiegelhalter , D. , Freedman , L. and Blackburn , P. 1986 . Monitoring Clinical Trials: Conditional or Predictive Power? . Contr. Clin. Trials , 7 : 8 – 17 .
   Google Scholar
• Wang , S. and Tsiatis , A. 1987 . Approximately Optimal One-Parameter Boundaries for Group Sequential Trials . Biometrics , 43 : 193 – 99 .
   Google Scholar
• Xiong , X. 1995 . A Class of Sequential Conditional Probability Ratio Tests . Journal of the American Statistical Association , 90 : 1463 – 73 .
   Google Scholar