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A response-adaptive design in crossover trial

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TLDR
In this article, an adaptive allocation rule for a two-treatment two-period crossover design in the presence of possible carryover effects was proposed, which is a combination of the play-the-winner and randomized playthewinner rules.
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.

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Journal ArticleDOI

Multiple-objective response-adaptive repeated measurement designs in clinical trials for binary responses

TL;DR: This work extends the allocation strategy developed for continuous responses to constructing response-adaptive repeated measurement designs for binary responses and finds that it can successfully allocate more patients to better treatment sequences without sacrificing much estimation precision.
References
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Book

analysis of binary data

David Cox, +1 more
TL;DR: Binary response variables special logistical analyses some complications some related approaches more complex responses.
Book

Order restricted statistical inference

TL;DR: In this paper, a set of multinomial parameters are derived about distributions subject to shape restrictions, and a conditional expectation given a sigma-lattice is given in a more general setting.
Book

Theory of rank tests

TL;DR: In this article, the authors present an elementary theory of rank tests and a set of properties of rank estimators, including asymptotic optimality and efficiency, as well as non-null distributions.
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