A class of adaptive designs

References

• Anderson , J , Faries , D and Tamura , R . 1994 . A randomized play the winner design for multi arm clinical trials . Comm. Statist. A Theor. Meth , 23 : 309 – 323 .
   Google Scholar
• Anscombe , F . 1963 . Sequential medical trials . J. Amer. Statist. Assoc , 58 : 365 – 384 .
   Web of Science ®Google Scholar
• Bandyopadhyay , U and Biswas , A . 1996 . Delayed response in randomized play the winner rule: a decision theoretic outlook . Calcutta Statistical Association Bulletin , 46 : 69 – 88 .
   Google Scholar
• Bandyopadhyay , U and Biswas , A . 1997a . Sequential comparison of two treatments in clinical trials: a decision theoretic approach based on randomized play the winner rule . Sequential Analysis , 16 : 65 – 91 .
   Google Scholar
• Bandyopadhyay , U and Biswas , A . 1997b . Some sequential tests in clinical trials based on randomized play the winner rule . Calcutta Statistical Association Bulletin , 47 : 67 – 89 .
   Google Scholar
• Bandyopadhyay , U and Biswas , A . 1999 . Sequential type procedures to select the best treatments . Statistics & Decisions , : 139 – 164 . Dedicated to the Memory of Robert E. Bechhofer
   Google Scholar
• Bartlett , R. H , Roloff , D. W , Cornell , R. G , Andrews , A. F , Dillon , P. W and Zwischenberger , J. B . 1985 . Extracorporeal circulation in neonatal respiratory failure: . A prospective randomized trial. Pediatrics , 76 : 479 – 487 .
   Google Scholar
• Begg , C. B . 1990 . On inferences from Wei's biased coin design for clinical trials . Biometrika , 77 : 467 – 484 . with discussion
   Web of Science ®Google Scholar
• Byar , D. P , Simon , R. M , Friedewald , W. T , Schlesselman , J. J , DeMets , D. L , Ellenberg , J. H , Gail , M. H and Ware , J. H . 1976 . Randomized clinical trials perspectives on some recent ideas . New England Journal of Medicine , 295 : 74 – 80 .
   PubMed Web of Science ®Google Scholar
• Biswas , A . 1999 . Delayed response in randomized play the winner rule revisited . Comm. Statist. Simul. Comput , 28 ( 3 ) : 715 – 731 .
   Web of Science ®Google Scholar
• Colton , T . 1963 . A model for selecting one of two medical treatments . J. Amer. Statist. Assoc , 58 : 388 – 401 .
   Web of Science ®Google Scholar
• Connor , E. M , Sperling , R. S , Gelber , R , Kiselev , P , Scott , G , O'Sullivan , M. J , Vandyke , R , Bey , M , Shearer , W , Jacobson , R. I , Jiminez , E , O'Neill , E , Bazin , B , Delfraissy , J , Culname , M , Coombs , R , Elkins , M , Moye , J , Stratton , P and Balsey , J . 1994 . Reduction of maternal infant transmission of human immunodeficiency virus type 1 with zidovudine treatment . New England Journal of Medicine , 331 : 1173 – 1180 . Report written for the Pediatric AIDS Clinical Trial Group Protocol 076 Study Group
   PubMed Web of Science ®Google Scholar
• Cornell , R. G , Landenberger , B. D and Bartlett , R. H . 1986 . Randomized play the winner clinical trials . Comm. Statist. A , 15 : 159 – 178 .
   Google Scholar
• Faries , D. E , Tamura , R. N and Anderson , J. S . 1995 . Adaptive designs in clinical trials: Lilly experience . Biopharmaceutical Report , 3 : 1 – 11 . with discussions
   Google Scholar
• Hardwick , J . 1989 . Comment: recent progress in clinical trial designs that adapt for ethical purposes . Statist. Sci , 4 : 159 – 178 .
   Google Scholar
• Li , W . 1995 . Sequential designs for opposing failure functions. Ph. D. dissertation . College of Arts and Sciences. American Univ., Washington ,
   Google Scholar
• Matthews , P. C and Rosenberger , W. F . 1997 . Variance in randomized play the winner clinical trials . Stat. Prob. Lett , 35 : 233 – 240 .
   Web of Science ®Google Scholar
• Robbins , H . 1952 . Some aspects of the sequential design of experiments . Bull. Amer. Math. Soc , 58 : 527 – 535 .
   Web of Science ®Google Scholar
• Rosenberger , W. F . 1993 . Asymptotic interference with response adaptive treatment allocation designs . Ann. Statist , 21 : 2098 – 2107 .
   Web of Science ®Google Scholar
• Rosenberger , W. F and Lachin , J. M . 1993 . The use of response adaptive designs in clinical trials . Controlled Clinical Trials , 14 : 471 – 484 .
   PubMedGoogle Scholar
• Royall , R. M . 1991 . Ethics and statistics in randomized clinical trials . Statist. Sci , 5 : 52 – 62 . with discussion
   Google Scholar
• Tamura , R. N , Faries , D. E , Andersen , J. S and Heiligenstein , J. H . 1994 . A case study of an adaptive clinical trials in the treatment of out patients with depressive disorder . J. Amer. Statist. Assoc , 89 : 768 – 776 .
   Web of Science ®Google Scholar
• Ware , J. H . 1989 . Investigating therapies of potentially great benefit: . ECMO. Statistical Science , 4 : 298 – 340 .
   Google Scholar
• Ware , J. H and Epstein , M. F . 1985 . Extracorporeal circulation in neonatal respiratory failure: a prospective randomized study . Pediatrics , 76 : 849 – 851 .
   PubMed Web of Science ®Google Scholar
• Wei , L. J . 1979 . The generalized Polya's urn for sequential medical trials . Ann. Statist , 7 : 291 – 296 .
   Web of Science ®Google Scholar
• Wei , L. J . 1988 . Exact two sample permutation tests based on the randomized play the winner rule . Biometrika , 75 : 603 – 606 .
   Web of Science ®Google Scholar
• Wei , L. J and Durham , S . 1978 . The randomized play the winner rule in medical trials . J. Am. Statist. Assoc , 73 : 838 – 843 .
   Web of Science ®Google Scholar
• Yao , Q and Wei , L. J . 1996 . Play the winner for phase II/III clinical trials . Statistics in Medicine , 15 : 2413 – 2423 .
   PubMed Web of Science ®Google Scholar
• Zelen , M . 1969 . Play the winner rule and the controlled clinical trial . J. Am. Statist. Assoc , 64 : 131 – 146 .
   Web of Science ®Google Scholar
• Zelen , M and Wei , L. J . 1995 . “ Foreward. In Adaptive Designs ” . Edited by: Flournoy , N and Rosenberger , W. F . Hayward, CA : IMS .
   Google Scholar