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Optimal Allocation Proportion for a Two-Treatment Clinical Trial Having Correlated Binomial Responses

  • Atanu Biswas
  • Saumen Mandal
Conference paper
Part of the Contributions to Statistics book series (CONTRIB.STAT.)

Abstract

Optimal allocation designs for the allocation proportion are obtained in the present paper for a two-treatment clinical trial, in the presence of possible correlation between the proportion of successes for two treatments. The possibility of such correlation is motivated by real data. It is observed that the optimal allocation proportions highly depend on the correlation.

Keywords

Thrombolytic Therapy Optimal Allocation Allocation Proportion Binomial Response Optimal Adaptive Design 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Notes

Acknowledgements

The authors wish to thank two anonymous referees for their careful reading and constructive suggestions which led to some improvement over an earlier version of the manuscript. The research of S. Mandal is supported by a Discovery Grant from the Natural Sciences and Engineering Research Council (NSERC) of Canada.

References

  1. Biswas, A. and J.-S. Hwang (2002). A new bivariate binomial distribution. Statistics and Probability Letters 60, 231–240.MATHCrossRefMathSciNetGoogle Scholar
  2. Biswas, A. and J.-S. Hwang (2009). Distribution of odds ratio in 2 × 2 contingency tables: adjustment for correlation. (Submitted).Google Scholar
  3. Biswas, A. and S. Mandal (2004). Optimal adaptive designs in phase III clinical trials for continuous responses with covariates. In mODa 7 - Advances in Model-Oriented Design and Analysis. Heidelberg: Physica-Verlag, 51–59.Google Scholar
  4. Biswas, A. and S. Mandal (2007). Optimal three-treatment response-adaptive designs for phase III clinical trials with binary responses. In mODa 8 - Advances in Model-Oriented Design and Analysis, Heidelberg: Physica-Verlag, 33–40.Google Scholar
  5. Ergin, A. and N. Ergin (2005). Is thrombolytic therapy associated with increased mortality? Archives of Neurology 62, 362–366.CrossRefGoogle Scholar
  6. Hwang, J.-S. and A. Biswas (2008). Odds ratio for a single 2 × 2 table with correlated binomial for two margins. Statistical Methods and Applications 17, 483–497.MATHCrossRefGoogle Scholar
  7. Rosenberger, W. and J. Lachin (2002). Randomization in Clinical Trials: Theory and Practice. New York: Wiley.MATHCrossRefGoogle Scholar
  8. Rosenberger, W., N. Stallard, A. Ivanova, C. Harper, and M. Ricks (2001). Optimal adaptive designs for binary response trials. Biometrics 57, 909–913.CrossRefMathSciNetGoogle Scholar
  9. Ware, J. (1989). Investigating therapies of potentially great benefit: ECMO. Statistical Science 4, 298–306.MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  1. 1.Applied Statistics UnitIndian Statistical InstituteKolkataIndia
  2. 2.Department of StatisticsUniversity of ManitobaWinnipegCanada

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