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论调节效应检测中多重共线性的误解:多重共线性并非总是有害的。

On the Misconception of Multicollinearity in Detection of Moderating Effects: Multicollinearity Is Not Always Detrimental.

作者信息

Shieh Gwowen

机构信息

a National Chiao Tung University.

出版信息

Multivariate Behav Res. 2010 May 28;45(3):483-507. doi: 10.1080/00273171.2010.483393.

Abstract

Due to its extensive applicability and computational ease, moderated multiple regression (MMR) has been widely employed to analyze interaction effects between 2 continuous predictor variables. Accordingly, considerable attention has been drawn toward the supposed multicollinearity problem between predictor variables and their cross-product term. This article attempts to clarify the misconception of multicollinearity in MMR studies. The counterintuitive yet beneficial effects of multicollinearity on the ability to detect moderator relationships are explored. Comprehensive treatments and numerical investigations are presented for the simplest interaction model and more complex three-predictor setting. The results provide critical insight that both helps avoid misleading interpretations and yields better understanding for the impact of intercorrelation among predictor variables in MMR analyses.

摘要

由于其广泛的适用性和计算简便性,适度多元回归(MMR)已被广泛用于分析两个连续预测变量之间的交互作用。因此,预测变量与其交叉乘积项之间所谓的多重共线性问题受到了相当多的关注。本文试图澄清MMR研究中多重共线性的误解。探讨了多重共线性对检测调节关系能力的反直觉但有益的影响。针对最简单的交互模型和更复杂的三预测变量设置进行了全面的处理和数值研究。结果提供了关键的见解,既有助于避免误导性解释,又能更好地理解MMR分析中预测变量之间相互关联的影响。

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