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Drop-the-loser design in the presence of covariates
Authors:Uttam Bandyopadhyay  Atanu Biswas  Rahul Bhattacharya
Institution:(1) Department of Statistics, University of Calcutta, 35 Ballygunge Circular Road, Kolkata, 700 019, India;(2) Applied Statistics Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata, 700 108, India;(3) Department of Statistics, Asutosh College, 92 S.P.Mukherjee Road, Kolkata, 700 026, India
Abstract:In the present work we develop a randomized two-treatment adaptive allocation design with covariates ensuring smaller variability of treatment allocations. We study, both numerically and theoretically, several exact and limiting properties of the design and consider an inferential problem following the allocation design. We compare the design with some of the existing allocation designs by computing its various performance measures.
Keywords:Adaptive allocation  Covariate  Ethics
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