过饱和多层设计的贝叶斯分析及后续试验

IF 2.6 2区 工程技术 Q2 ENGINEERING, INDUSTRIAL
Chang-Yun Lin, Po Yang
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引用次数: 1

摘要

摘要在运行顺序不能完全随机化的实验中,采用过饱和多层设计来识别重要因素。由于过饱和多层设计的运行规模小,影响因素多,存在模型不确定性问题。文献中常用的逐步回归分析的一个缺点是它只产生一个单一的模型,因此不适合处理模型的不确定性。在本文中,我们提出了一种贝叶斯方法来分析从过饱和多层设计中收集的数据。贝叶斯分析报告了几个相互竞争的模型,而不是产生一个单一的模型,因此,为实验者提供了一个探索潜在重要因素的机会。为了进一步减少不确定性,我们建议进行后续实验,并制定一个通用的模型判别标准,以选择后续过饱和设计,有效地减少分析结果中的歧义。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Bayesian analysis and follow-up experiments for supersaturated multistratum designs
Abstract Supersaturated multistratum designs are applied for identifying important factors in experiments in which the run order cannot be completely randomized. Since supersaturated multistratum designs have small run sizes and large numbers of factors, there exist problems of model uncertainty. A drawback of the stepwise regression analysis commonly used in the literature is that it only produces a single model and, thus, is not suitable to deal with model uncertainty. In this paper, we propose a Bayesian approach for analyzing the data collected from supersaturated multistratum designs. Instead of producing a single model, the Bayesian analysis reports several competing models and, thus, provides an opportunity for the experimenters to explore potentially important factors. To further reduce uncertainty, we suggest conducting follow-up experiments and develop a generalized model-discrimination criterion for selecting follow-up supersaturated designs that are effective in reducing ambiguity in the analysis results.
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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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