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本帖最后由 mnczj 于 2013-3-28 11:05 编辑 " L; J! H" \0 G% Y }' F% p% |9 c6 ?( K$ [
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我发现不少朋友在问Kenny,调节变量是否有去中心化或标准化,Dev K. Dalal 和 Michael J. Zickar 2012年在Organizational Research Method 上专门分析了这个问题。以下是他们的文章摘要。
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Some Common Myths About Centering Predictor Variables in Moderated Multiple Regression and Polynomial Regression- j3 R* W: Y$ s, h" r$ Z9 x2 D
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Abstract
6 B& k. {$ i" a7 h4 WAdditive transformations are often offered as a remedy for the common problem of collinearity in3 p8 o0 C/ ]/ l- Z* s
moderated regression and polynomial regression analysis. As the authors demonstrate in this article,
0 Q& j0 h/ d+ K. {+ p# p3 x x% z Kmean-centering reduces nonessential collinearity but not essential collinearity. Therefore, in most5 o. _7 l6 x ^* x& B% U# |
cases, mean-centering of predictors does not accomplish its intended goal. In this article, the authors
/ `( K, b7 ^6 Ndiscuss and explain, through derivation of equations and empirical examples, that mean-centering
2 w$ N2 b% b2 {2 E$ j' Vchanges lower order regression coefficients but not the highest order coefficients, does not change
9 O7 p) g0 T' M C' x! U8 Uthe fit of regression models, does not impact the power to detect moderating effects, and does not- V. P- n+ j6 e
alter the reliability of product terms. The authors outline the positive effects of mean-centering,+ h* z; d1 L6 X; Q; z
namely, the increased interpretability of the results and its importance for moderator analysis in
5 R' n0 n6 P1 q1 v W2 ]% K' Y1 |* Rstructural equations and multilevel analysis. It is recommended that researchers center their predictor
' {" r; R6 y" F+ ?; wvariables when their variables do not have meaningful zero-points within the range of the variables; U+ ?3 H% [- R# g: D$ t9 X1 y
to assist in interpreting the results.
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