Order-of-addition mixture experiments

IF 2.6 2区 工程技术 Q2 ENGINEERING, INDUSTRIAL
Nicholas Rios, Dennis K. J. Lin
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引用次数: 8

Abstract

Abstract In a mixture experiment, m components are mixed to produce a response. The total amount of the mixture is a constant. Existing literature on mixture designs ignores the order of addition of the mixture components. This paper considers the Order-of-Addition (OofA) mixture experiment, where the response depends on both the mixture proportions of components and their order of addition. Empirical study demonstrates that if mixture-order interactions exist, then the optimal mixture proportions identified by traditional models may be misleading. Full Mixture OofA designs are created which ensure orthogonality between mixture model terms and addition order effects. These designs allow for the estimation of (1) typical mixture model parameters and (2) order-of-addition effects. Moreover, models which include both main effects and key mixture-order interactions are introduced.
加阶混合实验
在混合实验中,将m个组分混合以产生响应。混合物的总量是一个常数。现有的混合料设计文献忽略了混合料组分的加入顺序。本文考虑了一种混合试验,其响应既取决于各组分的混合比例,也取决于各组分的加入顺序。实证研究表明,如果存在混合级相互作用,那么传统模型确定的最优混合比例可能具有误导性。创建了完全混合OofA设计,以确保混合模型项和加阶效应之间的正交性。这些设计允许估计(1)典型的混合模型参数和(2)加阶效应。此外,还介绍了包括主效应和关键混合阶相互作用的模型。
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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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