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本帖最后由 mnczj 于 2013-3-28 11:05 编辑
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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。! M+ i, P) M) |7 `
- i. g" E5 o8 u9 y$ \( lSome Common Myths About Centering Predictor Variables in Moderated Multiple Regression and Polynomial Regression4 c% X% |+ Z5 ]" b; G4 F
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Abstract: \4 ~& a6 F" I8 O, p5 t
Additive transformations are often offered as a remedy for the common problem of collinearity in
; ?- R5 X3 @4 O! `& U+ N5 Jmoderated regression and polynomial regression analysis. As the authors demonstrate in this article,4 k& n: ?1 v. W4 X! l: R$ I
mean-centering reduces nonessential collinearity but not essential collinearity. Therefore, in most
1 ^% H" Q! _5 t! R9 t* n* k, Zcases, mean-centering of predictors does not accomplish its intended goal. In this article, the authors
! I- b4 S# j N2 L- Sdiscuss and explain, through derivation of equations and empirical examples, that mean-centering8 b$ Y/ [; l+ G; i6 A- O
changes lower order regression coefficients but not the highest order coefficients, does not change
/ V4 b- {! Y: ^. r& D7 dthe fit of regression models, does not impact the power to detect moderating effects, and does not
; e+ A) K9 d; v! D5 U4 {8 Xalter the reliability of product terms. The authors outline the positive effects of mean-centering,0 X6 o$ J7 k v
namely, the increased interpretability of the results and its importance for moderator analysis in
/ R/ U) N' J5 }7 D' J0 ~3 Z0 x0 \ Rstructural equations and multilevel analysis. It is recommended that researchers center their predictor& ^7 y5 B( s2 M+ u
variables when their variables do not have meaningful zero-points within the range of the variables: q1 _" Y: L* Y4 g$ g- T
to assist in interpreting the results.
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