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Analytical power calculations for structural equation modeling: A tutorial and Shiny app.

Suzanne Jak1, Terrence D Jorgensen2, Mathilde G E Verdam3

  • 1Methods and Statistics, Research Institute of Child Development and Education, University of Amsterdam, Nieuwe Achtergracht 127, 1018, WS, Amsterdam, The Netherlands. S.Jak@uva.nl.

Behavior Research Methods
|November 3, 2020
PubMed
Summary
This summary is machine-generated.

Researchers can now perform power analyses for structural equation models (SEMs) without computationally intensive Monte Carlo simulations. The power4SEM app offers efficient calculations for model fit, aiding SEM research design.

Keywords:
Likelihood ratio testPower analysisRoot mean square error of approximationSample size planningStructural equation modeling

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Area of Science:

  • Psychometrics
  • Statistical Modeling
  • Quantitative Psychology

Background:

  • Power analysis is crucial for structural equation models (SEMs) but often computationally intensive, especially with Monte Carlo methods.
  • Existing methods for power calculations in SEM can be challenging for researchers to implement.

Purpose of the Study:

  • To introduce the Shiny app "power4SEM" for conducting power analyses in SEM without Monte Carlo simulations.
  • To provide accessible and computationally efficient methods for power calculations based on model fit.

Main Methods:

  • Utilizes the Satorra and Saris (1985) method for likelihood ratio test power calculations.
  • Employs the MacCallum, Browne, and Sugawara (1996) method for RMSEA-based power calculations.
  • Focuses on model fit indices rather than parameter significance for power estimation.

Main Results:

  • The power4SEM app enables non-computationally intensive power calculations for SEM.
  • Demonstrates practical application through examples for path models, factor models, and latent growth models.

Conclusions:

  • power4SEM provides a user-friendly tool for researchers to conduct power analyses in SEM.
  • Facilitates better research design and interpretation of SEM results by simplifying power calculations.