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Sequential Analysis
Design Methods and Applications
Volume 16, 1997 - Issue 3
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Original Articles

Bias reduction via resampling for estimation following sequential tests

Bias reduction via resampling for estimation

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Pages 249-267 | Published online: 29 Mar 2007

References

  • Anderson , T.W. 1960 . A modification of the sequential probability ratio test to reduce sample size . Ann. Math. Statist , 31 : 165 – 197 .
  • Armitage , P. 1957 . Numerical studies in the estimation of a binomial parameter . Biometrika , 44 : 1 – 15 .
  • Armitage , P. 1975 . Sequential Medical Trials , Oxford, , England : Blackwell .
  • Bather , J.A. and Coad , D.S. 1992 . Sequential procedures for comparing several medical treatments . Sequential Anal. , 11 : 339 – 376 .
  • Coad , D.S. 1994 . Estimation following sequential tests involving date-dependent treatment allocation . Statist. Sinica , 4 : 693 – 700 .
  • Cox , D.R. 1952 . A note on the sequential estimation of means . Proc. Camb. Phil. Soc. , 48 : 447 – 450 .
  • DeMets , D.L. and Ware , J.H. 1980 . Group sequential methods for clinical trials with a one-sided hypothesis . Biometrika , 67 : 651 – 660 .
  • DeMets , D.L. and Ware , J.H. 1982 . Asymptotic group sequential boundaries for monitoring clinical trials . Biometrika , 69 : 661 – 663 .
  • Efron , B. 1982 . “ The Jackknife, the bookstrap and other resampling plans ” . In Society for industrial and applied methematics , Pennsylvania : Philadelphia .
  • Efron , B. 1990 . More efficient bootstrap computation . J. Amer. Statist. Assoc. , 85 : 79 – 89 .
  • Kilpatrick , G.S. and Oldham , P.D. 1954 . Calcium chloride and adrenaline as bronchial dilators compared by sequential analysis . Br. Med. J. , 2 : 1388 – 1391 .
  • Kim , K. 1988 . Improved approximation for estimation following closed sequential tests . Biometrika , 75 : 121 – 128 .
  • Morton , S.C. 1990 . Bootstrap confidence intervals in a complex situation: a sequential paired clinical trial . Commun. Statist.-Theory Math. , 19 : 181 – 195 .
  • O'Brien , P.C. and Fleming , T.R. 1979 . A multiple testing procedure for clinical trials . Biometrics , 35 : 549 – 556 .
  • Pocock , S.J. 1977 . Group sequential methods in the design and analysis of sequential clinical trials . Biometrika , 64 : 191 – 199 .
  • Siegmund , D. 1977 . Repeated significance tests for a normal mean . Biometrika , 64 : 177 – 189 .
  • Siegmund , D. 1978 . Estimation following sequential tests . Biometrika , 65 : 341 – 349 .
  • Siegumund , D. 1985 . Sequential Analysis , New York : Springer .
  • Swanepoel , J. and de Beer , C. 1994 . The bootstrap applied to sequential analysis . Seq. Anal. , 13 : 11 – 26 .
  • Wald , A. 1947 . Sequential Analysis , New York : Wiley .
  • Wang , Y.-G. 1991 . Gittins indices and constrained allocation in clinical trials . Biometrika , 78 : 101 – 111 .
  • Wang , Y.-G. and Gittins , J.C. 1992 . Bayesian bandits in clinical trials . Sequential Analysis , 11 : 313 – 325 .
  • Whitehead , J. 1986 . On the bias of maximum likelihood estimation following a sequential test . Biometrika , 73 : 573 – 581 .
  • Whitehead , J. 1992 . The Design and Analysis of Sequential Clinical Trials , Chichester : Ellis Horwood .
  • Woodroofe , M. 1990 . On stopping times and stochastic monotonicity . Sequential Analysis , 9 : 335 – 342 .
  • Woodroofe , M. 347 . Estimation after sequential testing: A simple approach for a truncated sequential probability ratio test . Biometrika , 79 : 347 – 353 .

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