4.3 Article

The effect of multicollinearity on multilevel modeling parameter estimates and standard errors

Journal

EDUCATIONAL AND PSYCHOLOGICAL MEASUREMENT
Volume 63, Issue 6, Pages 951-985

Publisher

SAGE PUBLICATIONS INC
DOI: 10.1177/0013164403258402

Keywords

hierarchical linear model; multilevel model; multicollinearity

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This study investigates the quality of multilevel model parameter estimates and standard errors as a function of varying magnitudes of correlation among Level 1 predictors and model characteristics. The results of the study show that with multicollinearity presented at Level 1 of a two-level mixed-effects linear model, the fixed-effect parameter estimates produce relatively unbiased values; however, the variance and covariance component estimates produce downwardly biased values except for Level 1 variance (< 5%). The standard errors associated with the parameter estimates are also biased under varied magnitudes of Level 1 predictor correlation.

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