Comparing multiple statistical software for multiple-indicator, multiple-cause modeling: an application of gender
Chi Chang1,2, Joseph Gardiner3, Richard Houang4
1Office of Medical Education Research and Development, College of Human Medicine, Michigan State University, 965 Wilson Rd., Room A214C, East Lansing, MI, 48824, USA. chisq@msu.edu.
The multiple-indicator, multiple-cause (MIMIC) model, a latent variable framework, was applied using SAS, R, and Mplus to study cognitive function. Men excelled in executive function, while women showed better episodic memory.
Area of Science:
- Psychometrics
- Statistical Modeling
- Cognitive Neuroscience
Background:
- The multiple-indicator, multiple-cause (MIMIC) model is a specialized form of structural equation modeling (SEM) within a latent variable framework.
- It integrates covariates of interest into factor analysis, offering rigorous results and broad availability in statistical software.
Purpose of the Study:
- To introduce the multiple-indicator, multiple-cause (MIMIC) model.
- To demonstrate its implementation using SAS CALIS, R lavaan, and Mplus.
- To examine gender disparities in cognitive functioning using the MIMIC model.
Main Methods:
- The study detailed the formulation, specification, and identification of the MIMIC model.
- Empirical application involved the Midlife in the United States II (MIDUS II) Study dataset (N=4109).
- Analyses were conducted using SAS CALIS procedure, R lavaan package, and Mplus version 8.0, presenting syntaxes for input, output, and diagrams.
Main Results:
- All three software packages could utilize raw data and empirical covariance matrices.
- Mplus offers greater modeling flexibility but limited data manipulation compared to SAS and R.
- Results indicated men outperform women in executive function, while women exhibit superior episodic memory.
Conclusions:
- The study validated the utility of the MIMIC model with three popular statistical software packages.
- Findings align with previous empirical research on gender differences in cognitive functioning.
- Coding procedures and examples are provided as a tutorial for researchers interested in latent construct modeling.
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