Interaction effects in pairwise ordering model

IF 2.6 2区 工程技术 Q2 ENGINEERING, INDUSTRIAL Journal of Quality Technology Pub Date : 2023-04-05 DOI:10.1080/00224065.2023.2186288
Chun-Yen Wang, Dennis K. J. Lin
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引用次数: 0

Abstract

Abstract In an order-of-addition (OofA) experiment, the response is a function of the addition order of components. The key objective of the OofA experiments is to find the optimal order of addition. The most popularly used model for OofA experiments is perhaps the pairwise ordering (PWO) model, which assumes that the response can be fully accounted by the pairwise ordering of components. Recently, the PWO model has been extended by adding the interactions of PWO factors, to account for variations caused by the ordering of sets of three or more components, where the interaction term is defined by the multiplication of two PWO factors. This paper introduces a novel class of conditional PWO effect to study the interaction effect between PWO factors. The advantages of the proposed interaction terms are studied. Based on these conditional effects, a new model is proposed. The optimal order of addition can be straightforwardly obtained via the proposed model.
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两两排序模型中的交互效应
在加法实验中,响应是各分量加法顺序的函数。OofA实验的关键目标是找到最优的加法顺序。OofA实验中最常用的模型可能是成对排序(PWO)模型,该模型假设响应可以完全由组件的成对排序来解释。最近,通过添加PWO因素的相互作用,扩展了PWO模型,以解释由三个或更多组件的集合排序引起的变化,其中相互作用项由两个PWO因素的乘法定义。本文引入了一类新的条件pw效应来研究pw因子之间的相互作用效应。研究了所提出的相互作用项的优点。基于这些条件效应,提出了一个新的模型。通过所提出的模型可以直接得到最优的加法顺序。
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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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