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: A technique that combines exploratory factor analysis (EFA) with the benefits of structural equation modeling. Licensing and Legitimate Access Mplus is proprietary software developed by Muthén & Muthén

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: Enhanced capabilities for models with many random effects, which are often impossible to analyze using traditional maximum-likelihood methods. Three-Level SEM

: Support for data with three levels of nesting, such as students within classrooms within schools. Exploratory SEM (ESEM) : A technique that combines exploratory factor analysis

: Subject-specific measurement parameters could finally be modeled.

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: A new language syntax ( lam1-lam10 | f BY y1-y10 ) allowed for random factor loadings, which is essential for studying measurement invariance across many groups or time points.