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3-way ANOVA statistical methods random and mixed-effect models: Their application in gage repeatability and reproducibility studies.

机译：三向方差分析统计方法随机和混合效应模型：它们在量具重复性和再现性研究中的应用。

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This thesis presents some of the theory that enables the application of a three-way ANOVA model to measurement system analysis. It describes all the possible scenarios using random and mixed models when three factors are considered and derives formulae to assist the analyst in determining significance of components of variance associated with those three factors and their interactions. It proposes a method to go from a full model to a reduced version that only contains the significant sources of variation that are of interest to the analyst. Formulae for point estimates of variance components as well as for confidence intervals associated to the significant components included in the reduced model are also offered. This thesis also proposes some ratios that may be helpful for the analyst in determining the overall adequacy of the measurement system and exhorts further knowledge in even more complex statistical models in their application to measurement systems.

机译：本文提出了一些理论，使三方方差分析模型可以应用于测量系统分析。当考虑了三个因素时，它使用随机模型和混合模型描述了所有可能的情况，并推导了公式，以帮助分析师确定与这三个因素相关联的方差成分的重要性及其相互作用。它提出了一种从完整模型到简化版本的方法，该方法仅包含分析人员感兴趣的重要变化来源。还提供了方差成分的点估计以及与简化模型中包含的重要成分相关的置信区间的公式。本文还提出了一些比率，这些比率可能有助于分析人员确定测量系统的整体适当性，并在将其应用于测量系统时，甚至要求进一步了解更复杂的统计模型。

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作者
Garcia-Juarez, Everardo.;
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作者单位

California State University, Dominguez Hills.;

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授予单位 California State University, Dominguez Hills.;
学科 Statistics.
学位 M.S.
年度 2005
页码 241 p.
总页数 241
原文格式 PDF
正文语种 eng
中图分类统计学;
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3-way ANOVA statistical methods random and mixed-effect models: Their application in gage repeatability and reproducibility studies.

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