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

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

Statistics & Probability Letters, 2013, vol. 83, issue 9, 1991-1997

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.

Keywords: Bivariate binomial distribution; Constraint; Minimization; Odds ratio; Risk ratio; Treatment difference (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1016/j.spl.2013.05.003

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