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A General Multi-Treatment Adaptive Design for Multivariate Responses

机译：多元响应的通用多处理自适应设计

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摘要

A general adaptive allocation design is proposed for continuous multivariate responses where the covariance matrix of the response vectors is unknown. There are K > 2 competing treatments, possible prognostic factors are considered in the allocation procedure, potential delayed responses are allowed for, and treatment-covariate interactions are incorporated. The allocation rule for any incoming patient is dependent on all the allocation-and-response-and-prognostic factor history of the previously allocated patients as well as the prognostic factor vector of the current patient. The design is a generalization of the approach suggested by Bandyopadhyay and Biswas (2001), which was presented for a much simpler scenario. The performance characteristics of the proposed design and some follow-up inference procedures are studied analytically and also numerically illustrated. An extension of the present approach to the situation where some components of the response vectors are continuous and some binary is then considered. Some further extensions of the work are briefly indicated.
机译：针对连续多元响应，提出了一种通用的自适应分配设计，其中响应矢量的协方差矩阵未知。有K> 2种竞争疗法，在分配程序中考虑了可能的预后因素，考虑了潜在的延迟反应，并纳入了治疗-协变量相互作用。任何传入患者的分配规则取决于先前分配的患者的所有分配，响应和预后因素历史记录以及当前患者的预后因素向量。该设计是对Bandyopadhyay和Biswas（2001）提出的方法的概括，该方法是为更简单的场景而提出的。对所提出的设计的性能特征和一些后续的推理程序进行了分析研究，并在数值上进行了说明。将本方法扩展到以下情况：响应矢量的某些分量是连续的，然后考虑二进制。简要说明了工作的一些进一步扩展。

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