65
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

An Objective Bayesian Approach to Multistage Hypothesis Testing

&
Pages 88-101 | Received 18 Jun 2009, Accepted 01 Nov 2009, Published online: 28 Jan 2010

REFERENCES

  • Bayarri , M. J. and Berger , J. O. ( 2004 ). The Interplay of Bayesian and Frequentist Analysis , Statistical Science 19 : 58 – 80 .
  • Berger , J. O. and Sellke , T. ( 1987 ). Testing a Point Null Hypothesis: Irreconcilability of P Values and Evidence. With Comments and a Rejoinder by the Authors , Journal of the American Statistical Association 82 : 112 – 139 .
  • Berger , J. O. and Wolpert , R. L. ( 1988 ). The Likelihood Principle , second edition , Hayward, CA : Institute of Mathematical Statistics Monograph Series .
  • Berger , J. O. , Brown , L. D. , and Wolpert , R. L. ( 1994 ). A Unified Conditional Frequentist and Bayesian Test for Fixed and Sequential Hypothesis Testing , Annals of Statistics 22 : 317 – 352 .
  • Berger , J. O. , Boukai , B. , and Wang , Y. ( 1997 ). Unified Frequentist and Bayesian Testing of a Precise Hypothesis. With Comments and a Rejoinder by the Authors , Statistical Science 12 : 133 – 160 .
  • Berger , J. O. , Boukai , B. , and Wang , Y. ( 1999 ). Simultaneous Bayesian-Frequentist Sequential Testing of Nested Hypotheses , Biometrika 86 : 79 – 92 .
  • Bernardo , J. M. and Smith , A. F. M. ( 1994 ). Bayesian Theory , Chichester : Wiley .
  • Box , G. E. , and Tiao , G. C. ( 1992 ). Bayesian Inference in Statistical Analysis , New York : Wiley .
  • Bunouf , P. and Lecoutre , B. ( 2008 ). On Bayesian Estimators in Multistage Binomial Designs , Journal of Statistical Planning and Inference 138 : 3915 – 3926 .
  • Cai , T. T. ( 2005 ). One-Sided Confidence Intervals in Discrete Distributions , Journal of Statistical Planning and Inference 131 : 63 – 88 .
  • de Cristofaro , R. ( 2004 ). On the Foundations of Likelihood Principle , Journal of Statistical Planning and Inference 126 : 401 – 411 .
  • de Cristofaro , R. ( 2008 ). A New Formulation of the Principle of Indifference, Synthèse, Special Issue: A Selection of Papers Presented to the First Symposium on Philosophy, History and Methodology of ERROR, Virginia Tech. , 329 – 339 .
  • Dass , S. ( 2001 ). Unified Bayesian and Conditional Frequentist Testing for Discrete Distributions , Sankhya, Series B 63 : 251 – 269 .
  • Dass , S. and Berger , J. O. ( 2003 ). Unified Conditional Frequentist and Bayesian Testing of Composite Hypotheses , Scandinavian Journal of Statistics 30 : 193 – 210 .
  • FDA ( 2006 ). Guidance for the Use of Bayesian Statistics in Medical Device Clinical Trials , Rockville , MD : U.S. Department of Health and Human Services, Food and Drug Administration, Center for Devices and Radiological Health .
  • Govindarajulu , Z. ( 1981 ). The Statistical Analysis of Hypothesis Testing, Point and Interval Estimation, and Decision Theory , Columbus , OH : American Sciences Press .
  • Jeffreys , H. ( 1961 ). Theory of Probability , Oxford : Oxford University Press .
  • Kass , R. E. and Wasserman , L. ( 1996 ). The Selection of Prior Distributions by Formal Rules , Journal of the American Statistical Association 91 : 1343 – 1370 .
  • Robert , C. P. ( 2001 ). The Bayesian Choice: From Decision-Theoretic Motivations to Computational Implementation , second edition , New York : Springer-Verlag .
  • Rosenbaum , P. R. and Rubin , D. B. ( 1984 ). Sensitivity of Bayes Inference with Data-Dependent Stopping Rules , The American Statistician 38 : 106 – 109 .
  • Spiegelhalter , D. ( 2006 ). Comments on Guidance for the Use of Bayesian Statistics in Medical Device Clinical Trials, Royal Statistical Society, August 20, 2006 .
  • Spiegelhalter , D. J. , Abrams K. R. , and Myles , J. P. (2004). Bayesian Approaches to Clinical Trials and Health-Care Evaluation , Chichester : John Wiley & Sons.
  • Stein , C. ( 1946 ). A Note on Cumulative Sums , Annals of Mathematical Statistics 17 : 498 – 499 .
  • Sun , D. and Berger , J. ( 2008 ). Objective Bayesian Analysis Under Sequential Experimentation , IMS Collections, Pushing The Limits of Contemporary Statistics: Contributions in Honour of Jayanta K. Ghosh 3 : 19 – 32 .
  • Wald , A. ( 1947 ). Sequential Analysis , New York : John Wiley & Sons .
  • Wijsman , R. A. ( 1971 ). Exponentially Bounded Stopping Time of Sequential Probability Ratio Tests for Composite Hypotheses , Annals of Mathematical Statistics 42 : 1859 – 1869 .
  • Ye , K. ( 1993 ). Reference Priors when the Stopping Rule Depends on the Parameter of Interest , Journal of the American Statistical Association 88 : 360 – 363 .
  • Recommended by Adam Martinsek

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.