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Multilevel Factor Score Regression.

Ines Devlieger1, Yves Rosseel1

  • 1Ghent University.

Multivariate Behavioral Research
|September 12, 2019
PubMed
Summary
This summary is machine-generated.

A new stepwise estimation method, the Croon method, shows superior performance over maximum likelihood estimation (MLE) for multilevel structural equation modeling (SEM). This advanced technique offers better convergence, reduced bias, and improved accuracy, especially with model misspecifications.

Keywords:
Multilevel factor score regressionfactor scoresmultilevel SEMstepwise estimation method

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Area of Science:

  • Statistics
  • Psychometrics
  • Social Sciences

Background:

  • Multilevel structural equation modeling (SEM) is widely used for hierarchical data with latent variables.
  • Traditional maximum likelihood estimation (MLE) for multilevel SEM requires large sample sizes and is sensitive to model misspecifications.

Purpose of the Study:

  • To introduce and evaluate a novel stepwise estimation method for multilevel SEM.
  • To compare the performance of the proposed Croon method against standard MLE in multilevel SEM.

Main Methods:

  • Extension of the Croon method for factor score regression to the multilevel setting.
  • A simulation study was conducted to compare the proposed stepwise method with MLE.

Main Results:

  • The Croon method demonstrated higher convergence rates compared to MLE.
  • The Croon method exhibited less bias and Mean Squared Error (MSE).
  • Coverage rates were better with the Croon method, particularly when structural misspecifications were present.

Conclusions:

  • The stepwise Croon method is a promising alternative to MLE for multilevel SEM.
  • This method offers advantages in terms of statistical performance and robustness to misspecification.