The present article compares two treatments, say A and B, in the context of a clinical trial. Let X and Y be, respectively, the responses corresponding to A and B which have some continuous distributions. Here, the comparison is done through the parameter θ = P(X < Y) which is a very common functional in the context of reliability theory and survival analysis. We consider a two-stage data-dependent adaptive allocation design where the observations on X and Y are collected sequentially in two stages. We use the Mann–Whitney–Wilcoxon (MWW) statistic to provide a statistical comparison by a nonparametric approach. Various asymptotic results related to the proposed procedure are studied. The proposed procedure is also compared with the usual single-stage equal allocation design through statistical and clinical performances of the respective allocation procedures. © 2017 Informa UK Limited, trading as Taylor & Francis Group.

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University of Calcutta (informally known as Calcutta University or CU) is a collegiate public state university located in Kolkata, West Bengal, India.&nbsp;Within India it is recognized as a &quot;Five-Star University&quot; and accredited &quot;A&quot; Grade by National Assessment and Accreditation Council.

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The University of Calcutta has secured the Fifth position among the Universities of India in the prestigious &quot;Indian University Ranking 2019&quot; list, released by the NIRF of the Ministry of Human Resource Development, Government of India.

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It was established on 24 January 1857, and was one of the first institutions in Asia to be established as a multidisciplinary and Western-style university. Its alumni and faculty include several heads of state, heads of government, social reformers, prominent artists, only academy award winner and Dirac medal winner in India, many Fellows of the Royal Society and five Nobel laureates as of 2019 which is highest in South Asia.

University Of Calcutta

A comparison between two treatments in a clinical trial with an ethical allocation design

Journal of Statistical Computation and Simulation

A randomized two-stage adaptive Bayesian design is proposed and studied for allocation and comparison in a phase III clinical trial with survival time as treatment response. Several exact and limiting properties of the design and the follow-up inference are studied, both numerically and theoretically, and are compared with a single-stage randomized procedure. The applicability of the proposed methodology is illustrated by using some real data. © Springer Science+Business Media, LLC 2009.

Lifetime Data Analysis

A Bayesian adaptive design for two-stage clinical trials with survival data

In clinical trials, adaptive designs are sometimes used to force imbalance in allocation between two or more competitive treatments. Existing works are mostly based on dichotomous or polychotomous responses. In the present work, assuming that the responses are continuous variables, we investigate a two-treatment allocation scheme based on Wilcoxon-Mann-Whitney scores. The proposed scheme is used to provide two nonparametric test procedures for identity of two univariate continuous populations against location alternatives. Again, we give an exactly distribution free solution for generalized Behrens-Fisher problem. © 2003 Elsevier B.V. All rights reserved.

Journal	Data powered by TypesetJournal of Statistical Computation and Simulation
Publisher	Data powered by TypesetTaylor and Francis Ltd.
ISSN	0094-9655