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January 1, 2007Psychological Methods

Centering predictor variables in cross-sectional multilevel models: A new look at an old issue.

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Authors

CECraig K. EndersUniversity of California, Los AngelesDTDavood TofighiUniversity of New Mexico

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Implication

Methodological analysis demonstrates how grand and group mean centering alter parameter interpretation in multilevel models, highlighting guidelines for cross-sectional research.

Key Points

  • To provide a comprehensive overview and clarify common misunderstandings regarding grand mean and group mean centering of Level 1 predictors in two-level multilevel models.
  • Examined mathematical and substantive distinctions between grand mean centering and group mean centering within prototypical research designs.
  • Conducted empirical demonstrations using simulated artificial datasets to illustrate changes in intercept and slope parameter interpretations.
  • Demonstrated that the selection between grand mean and group mean centering fundamentally changes the substantive definition and numerical estimates of both intercept and slope parameters.
  • Established a framework of practical recommendations to guide researchers in aligning centering decisions with specific theoretical and substantive hypotheses.

Cite This Study

Enders et al. (2007) studied this question.

synapsesocial.com/papers/69d6c286a0177bf533ed8d56https://doi.org/10.1037/1082-989x.12.2.121
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