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Optimal designs for dose-response models with restricted design spaces

机译:具有受限设计空间的剂量响应模型的优化设计

摘要

In dose response studies, the dose range is often restricted due to concerns over drug toxicity and/or efficacy. We present restricted and unrestricted interval locally optimal designs with respect to a very general class of optimality criteria for estimating the underlying dose response curve. The underlying curve belongs to a diversified set of link functions suitable for the dose response studies and having a common canonical form. These include the fundamental binary response models u2013 the logit and the probit as well as the skewed versions of these models. The results are illustrated through the re-design of a dose ranging trial conducted at the Merck Research Laboratories (Zeng and Zhu, 1997). This work is a generalization of the results of Dai and Zhu (2002) in terms of the design interval, the underlying dose response curve and the optimality criterion.
机译:在剂量反应研究中,由于对药物毒性和/或功效的关注,常常限制剂量范围。我们针对非常普通的一类最佳标准来提出受限和非受限区间局部最优设计,以估计潜在的剂量反应曲线。底层曲线属于适用于剂量反应研究且具有常见规范形式的一组链接函数。其中包括基本的二进制响应模型,logit和probit以及这些模型的偏斜版本。通过在默克研究实验室进行的剂量范围试验的重新设计来说明结果(Zeng和Zhu,1997年)。这项工作是Dai和Zhu(2002)在设计间隔,潜在剂量反应曲线和最佳性标准方面的结果的概括。

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