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首页> 外文期刊>The Annals of Statistics: An Official Journal of the Institute of Mathematical Statistics >Asymptotic properties of doubly adaptive biased coin designs for multitreatment clinical trials
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Asymptotic properties of doubly adaptive biased coin designs for multitreatment clinical trials

机译：用于多治疗临床试验的双适应性偏向硬币设计的渐近性质

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摘要

A general doubly adaptive biased coin design is proposed for the allocation of subjects to K treatments in a clinical trial. This design follows the same spirit as Efron's biased coin design and applies to the cases where the desired allocation proportions are unknown, but estimated sequentially. Strong consistency, a law of the iterated logarithm and asymptotic normality of this design are obtained under some widely satisfied conditions. For two treatments, a new family of designs is proposed and shown to be less variable than both the randomized play-the-winner rule and the adaptive randomized design. Also the proposed design tends toward a randomization scheme (with a fixed target proportion) as the size of the experiment increases.
机译：在临床试验中，提出了一种通用的双自适应有偏硬币设计，用于将受试者分配给K治疗。此设计遵循与Efron偏向硬币设计相同的精神，适用于所需分配比例未知但需要顺序估算的情况。在一些广泛满足的条件下，获得了强一致性，该设计的对数迭代定律和渐近正态性。对于两种治疗方法，提出了一个新的设计家族，并且显示出比随机赢家规则和自适应随机设计都更少的可变性。随着实验规模的增加，提出的设计也趋向于采用随机方案（目标比例固定）。

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