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On an ethical cum optimal adaptive allocation design
Authors:Uttam Bandyopadhyay  Rahul Bhattacharya
Affiliation:1. Department of Statistics , Calcutta University , 35, Ballygunge Circular Road, Kolkata, 700 019, India ubandyopadhyay@yahoo.com;3. Department of Statistics , Calcutta University , 35, Ballygunge Circular Road, Kolkata, 700 019, India
Abstract:In the present work, we formulate a two-treatment single period two-stage adaptive allocation design for achieving larger allocation proportion to the better treatment arm in the course of the trial with increased precision of the parameter estimator. We examine some properties of the proposed rule and compare it with some of the existing allocation rules and report substantial gain in efficiency with a considerably larger number of allocations to the better treatment even for moderate sample sizes.
Keywords:Two-stage procedure  Ethics  Adaptive allocation
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