STEM / applied
Structural equation modeling · Graduate · Math
Learning objectives from the Structural equation modeling syllabus, grouped by unit. Click an objective for study materials.
Topics typically covered
Click a topic for the full text and related unit practice.
Graduate Structural equation modeling — outline derived from course README sections and typical US statistics syllabi (OpenIntro / standard OER where applicable).
Path and measurement models
- Path analysis and identification — Path analysis and identification
- Confirmatory factor analysis — Confirmatory factor analysis
- Structural equation models: specification — Structural equation models: specification
- Model identification rules — Model identification rules
- Diagram notation — Diagram notation
- Syntax (lavaan, Mplus) — Syntax (lavaan, Mplus)
Estimation and fit
- Maximum likelihood for SEM — Maximum likelihood for SEM
- Fit indices: CFI, TLI, RMSEA, SRMR — Fit indices: CFI, TLI, RMSEA, SRMR
- Modification indices — Modification indices
- Model respecification — Model respecification
- Multigroup SEM (introduction) — Multigroup SEM (introduction)
- Measurement invariance testing — Measurement invariance testing
Advanced SEM topics
- Latent growth models — Latent growth models
- Mediation — Mediation
- Indirect effects in SEM — Indirect effects in SEM
- SEM with categorical indicators (overview) — SEM with categorical indicators (overview)
- Bayesian SEM (introduction) — Bayesian SEM (introduction)
Learning objectives
Click an objective for study materials.
Path and measurement models
- Path analysis and identification — Path analysis and identification
- Confirmatory factor analysis — Confirmatory factor analysis
- Structural equation models: specification — Structural equation models: specification
- Model identification rules — Model identification rules
- Diagram notation — Diagram notation
- Syntax (lavaan, Mplus) — Syntax (lavaan, Mplus)
Estimation and fit
- Maximum likelihood for SEM — Maximum likelihood for SEM
- Fit indices: CFI, TLI, RMSEA, SRMR — Fit indices: CFI, TLI, RMSEA, SRMR
- Modification indices — Modification indices
- Model respecification — Model respecification
- Multigroup SEM (introduction) — Multigroup SEM (introduction)
- Measurement invariance testing — Measurement invariance testing
Advanced SEM topics
- Latent growth models — Latent growth models
- Mediation — Mediation
- Indirect effects in SEM — Indirect effects in SEM
- SEM with categorical indicators (overview) — SEM with categorical indicators (overview)
- Bayesian SEM (introduction) — Bayesian SEM (introduction)
Definitions and structure
- Path analysis and identification — Path analysis and identification
- Confirmatory factor analysis — Confirmatory factor analysis
- Structural equation models: specification — Structural equation models: specification
- Model identification rules — Model identification rules
- Diagram notation — Diagram notation
Proofs and reasoning
- Syntax (lavaan, Mplus) — Syntax (lavaan, Mplus)
- Maximum likelihood for SEM — Maximum likelihood for SEM
- Fit indices: CFI, TLI, RMSEA, SRMR — Fit indices: CFI, TLI, RMSEA, SRMR
- Modification indices — Modification indices
- Model respecification — Model respecification
Abstraction and generalization
- Multigroup SEM (introduction) — Multigroup SEM (introduction)
- Measurement invariance testing — Measurement invariance testing
- Latent growth models — Latent growth models
- Mediation — Mediation
- Indirect effects in SEM — Indirect effects in SEM
Modeling and computation
- Apply path analysis and identification in engineering contexts — Apply path analysis and identification in engineering contexts
- Apply confirmatory factor analysis in engineering contexts — Apply confirmatory factor analysis in engineering contexts
- Apply structural equation models: specification in engineering contexts — Apply structural equation models: specification in engineering contexts
- Apply model identification rules in engineering contexts — Apply model identification rules in engineering contexts
- Apply diagram notation in engineering contexts — Apply diagram notation in engineering contexts
Data and technology
- Use software to explore structural equation modeling problems numeric... — Use software to explore structural equation modeling problems numerically
- Interpret computational results against analytic predictions — Interpret computational results against analytic predictions
- Build spreadsheets or scripts for routine calculations — Build spreadsheets or scripts for routine calculations
- Visualize functions, fields, or datasets tied to course topics — Visualize functions, fields, or datasets tied to course topics
- Connect course methods to lab, industry, or research workflows — Connect course methods to lab, industry, or research workflows
Problem-solving practice
- Syntax (lavaan, Mplus) — Syntax (lavaan, Mplus)
- Maximum likelihood for SEM — Maximum likelihood for SEM
- Fit indices: CFI, TLI, RMSEA, SRMR — Fit indices: CFI, TLI, RMSEA, SRMR
- Modification indices — Modification indices
- Model respecification — Model respecification
Multi-Unit Problems
Course-level sets that combine skills across study units (coming soon).
Browse Multi-Unit ProblemsWhat each unit includes
Open a unit below for full materials. Typical resources:
- Study guide
- Exam Strategy
- Common Mistakes
- Worksheets
- Word problems
- Mixed Practice
- Multi-Unit Problems
- Review
- Practice test
- Answer key
Study units
Each unit includes a study guide, worksheets, review, practice test, and answer key. One unit is free; subscribe for the full class.
- Path and measurement models
Path analysis and identification
Coming soon - Estimation and fit
Maximum likelihood for SEM
Coming soon - Advanced SEM topics
Latent growth models
Coming soon
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$1,162 · Structural equation modeling · 18 tutoring hrs
Study guides, worksheets, reviews, practice tests, and answer keys for 1 class. 18 tutoring hours (1 hr / week · semester). Bundle discount applied vs buying separately. Pay in full via Zelle.