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

Abstract: 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.

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### Cites methods from "A comparison between two treatments..."

...Using this design Bandyopadhyay and Das (2008, 2017) have derived some methods based on Mann–Whitney U-statistic for selecting the better treatment....

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### "A comparison between two treatments..." refers background in this paper

...The book by Pesarin [8] is also an useful addition to the literature in this connection....

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