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The Limits of Marginality

机译：边缘性的局限性

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Abstract The “marginality principle” for linear regression models states that when a higher order term is included, its constituent terms must also be included. The target article relies on this principle for the fixed-effects part of linear mixed models of ANOVA designs and considers the implication that if extended to combined fixed-and-random-effects models, model selection tests specific to some fixed-effects ANOVA terms are not possible. We review the basis for this principle for fixed-effects models and delineate its limits. We then consider its extension to combined fixed-and-random-effects models. We conclude that we have been unable to find in the literature, including the target article, and have ourselves been unable to construct any satisfactory argument against the use of incomplete ANOVA models. The only basis we could find requires one to assume that it is not possible to test point-null hypotheses, something we disagree with, and which we believe is incompatible with the Bayesian model-selection methods that are the basis of the target article.
机译：抽象的线性的“边缘性原则”回归模型状态,当一个高阶包括术语,其组成也必须被包括。原则的固定后果部分线性的混合模型的方差分析设计和考虑暗示,如果扩展的总和fixed-and-random-effects模型,模型选择测试特定于一些固定后果方差分析的条件是不可能的。原则固定后果模型和描述其局限性。fixed-and-random-effects模式相结合。得出结论,我们一直找不到的文学,包括目标的文章,和自己无法构造任何吗满意的反对使用不完整的方差分析模型。找到它并不需要一个假设可以测试point-null假说我们不同意,我们相信不兼容的贝叶斯模型选择方法的基础目标。

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