Bayesian sequential design for sensitivity experiments with hybrid responses

IF 2.6 2区 工程技术 Q2 ENGINEERING, INDUSTRIAL Journal of Quality Technology Pub Date : 2022-07-25 DOI:10.1080/00224065.2022.2097966
Yuxia Liu, Yubin Tian, Dianpeng Wang
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Abstract

Abstract In experimental design, a common problem seen in practice is when the result includes one binary response and multiple continuous responses. However, this problem receives scant attention. Most studies pertaining to this problem usually consider the situation in which the continuous responses are independent of the stimulus level condition on the binary response. However, in many practical applications, real data show that this conditional independent assumption is not always appropriate. This article considers a new model for the dependent situation and a corresponding sequential design is proposed under the decision-theoretic framework. To deal with the problem of complex computation involved in searching for optimal designs, fast algorithms are presented using two strategies to approximate the optimal criterion, denoted as SI-optimal design and Bayesian D-optimal design, respectively. Simulation studies based on data from a Chinese chemical material factory show that the proposed methods perform well in estimating the interesting quantiles.
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混合响应灵敏度试验的贝叶斯序列设计
在实验设计中,实践中常见的一个问题是实验结果包含一个二元响应和多个连续响应。然而,这个问题很少受到重视。大多数关于这一问题的研究通常考虑连续反应独立于二元反应的刺激水平条件的情况。然而,在许多实际应用中,实际数据表明,这种条件独立的假设并不总是合适的。本文在决策理论框架下考虑了一种新的依赖情况模型,并提出了相应的顺序设计。针对优化设计搜索计算复杂的问题,提出了两种逼近优化准则的快速算法,分别称为si -最优设计和贝叶斯d -最优设计。基于中国某化工材料厂数据的仿真研究表明,本文提出的方法能够很好地估计感兴趣分位数。
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来源期刊
Journal of Quality Technology
Journal of Quality Technology 管理科学-工程:工业
CiteScore
5.20
自引率
4.00%
发文量
23
审稿时长
>12 weeks
期刊介绍: The objective of Journal of Quality Technology is to contribute to the technical advancement of the field of quality technology by publishing papers that emphasize the practical applicability of new techniques, instructive examples of the operation of existing techniques and results of historical researches. Expository, review, and tutorial papers are also acceptable if they are written in a style suitable for practicing engineers. Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days
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