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Optimal target allocation proportion for correlated binary responses in a 2×2 setup

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  • Mandal, Saumen
  • Biswas, Atanu
  • Trandafir, Paula Camelia
  • Islam Chowdhury, Mohammad Ziaul

Abstract

Optimal allocation designs for the allocation proportion are obtained in the present paper for a two-treatment situation, in a completely correlated setup where the sum of the responses no longer follows a binomial distribution. We consider treatment difference and odds ratio to find the optimal allocation proportion. Numerical computations are done to illustrate the influence of possible correlation in the allocation proportion.

Suggested Citation

  • Mandal, Saumen & Biswas, Atanu & Trandafir, Paula Camelia & Islam Chowdhury, Mohammad Ziaul, 2013. "Optimal target allocation proportion for correlated binary responses in a 2×2 setup," Statistics & Probability Letters, Elsevier, vol. 83(9), pages 1991-1997.
    • Handle: RePEc:eee:stapro:v:83:y:2013:i:9:p:1991-1997
    DOI: 10.1016/j.spl.2013.05.003
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    References listed on IDEAS

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    1. William F. Rosenberger & Nigel Stallard & Anastasia Ivanova & Cherice N. Harper & Michelle L. Ricks, 2001. "Optimal Adaptive Designs for Binary Response Trials," Biometrics, The International Biometric Society, vol. 57(3), pages 909-913, September.
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