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A response-adaptive design in crossover trial
Authors:Uttam Bandyopadhyay  Atanu Biswas  Shirsendu Mukherjee
Institution:1. Department of Statistics , University of Calcutta , 35 Ballygunge Circular Road, Kolkata , 700 019 , India ubstat@caluniv.ac.in;3. Applied Statistics Unit, Indian Statistical Institute , 203 B.T. Road, Kolkata , 700 108 , India;4. Department of Statistics , Behala College , Kolkata , 700 060 , India
Abstract:In the present work, whenever the response variables are binary, we frame an adaptive allocation rule for a two-treatment two-period crossover design in the presence of possible carry-over effects. The proposed rule is a combination of the play-the-winner and randomized play-the-winner rules. We study various properties of the proposed rule through asymptotics and simulations. Some related inferential problems are also considered. The proposed procedure is compared with some possible competitor.
Keywords:carry-over effect  play-the-winner rule  randomized play-the-winner rule  urn model
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