重复正交设计的强大且稳健的色散对比

IF 2.6 2区 工程技术 Q2 ENGINEERING, INDUSTRIAL Journal of Quality Technology Pub Date : 2021-10-21 DOI:10.1080/00224065.2021.1991250
Richard N. McGrath, Baffour Koduah
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引用次数: 0

摘要

在常见的正态和独立误差假设下,估计重复设计中的位置和色散效应的常用方法是使用两个链接的广义线性模型(glms)。该方法对离散效应估计的方差使用渐近估计,并且对正态性假设非常敏感。通过使用在非重复设计中用于识别位置效应的方法,也可以识别色散效应(经过对数变换)。其中一种方法对正态性假设具有相当强的鲁棒性,但相对于glm方法缺乏能力。我们引入了一种混合方法,在功率和鲁棒性之间取得平衡,用于色散效应识别。
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Powerful and robust dispersion contrasts for replicated orthogonal designs
Abstract A popular approach for estimating location and dispersion effects in replicated designs under the common assumption of normal and independent errors is to use two linked generalized linear models (glms). This approach uses an asymptotic estimate for the variance of dispersion effect estimates and is very sensitive to the normality assumption. It is also possible to identify dispersion effects (after a logarithmic transformation) by using methods developed for identifying location effects in unreplicated designs. One such method is rather robust to the normality assumption but lacks power relative to the glm approach. We introduce a hybrid approach that strikes a balance between power and robustness when used for dispersion effect identification.
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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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