1 Introduction
1.1 Modelformulation
1.1.1 Measurement model
1.1.2 Structuralmodel
1.1.3 Model formulation in equations
1.2 Modelidentification
1.3 Modelestimation
1.4 Modelevaluation
1.5 Modelmodification
1.6 Computer programs for SEM
Appendix 1.A Expressing variances and covariances among observed
variables as functions of model parameters
Appendix 1.B Maximum likelihood function for SEM
2 Confirmatory factor analysis
2.1 Basics ofCFA model
2.2 CFA model with continuous indicators
2.3 CFA model with non-normal and censoredcontinuous
indicators
2.3.1 Testingnon-normality
2.3.2 CFA model with non-normalindicators
2.3.3 CFA model with censored data
2.4 CFA model with categoricalindicators
2.4.1 CFAmodelwithbinaryindicators ''
2.4.2 CFA model with ordered categoricalindicators
2.5 Higher order CFA model
Appendix 2.A BSI-18 instrument
Appendix 2.B Item reliability
Appendix 2.C Cronbach''s alpha coefficient
Appendix 2.D Calculating probabilities using PROBIT regression
Coefficients
3 Structuralequations withlatent variables
3.1 MIMIC model
3.2 Structuralequationmodel
3.3 Correcting for measurement errorsin single indicator
variables
3.4 Testinginteractionsinvolvinglatentvariables
Appendix 3.A Influence of measurement errors
4 Latent growth models for longitudinal data analysis
4.1 LinearLGM
4.2 NonlinearLGM
4.3 Multi-processLGM
4.4 Two-partLGM
4.5 LGM with categoricaloutcomes
5 Multi-groupmodeling
5.1 Multi-group CFA model
5.1.1 Multi-group first-order CFA
5.1.2 Multi-group second-order CFA
5.2 Multi-group SEM model
5.3 Multi-groupLGM
6 Mixturemodeling
6.1 LCAmodel
6.1.1 ExampleofLCA
6.1.2 Example of LCA model with covariates
6.2 LTAmodel
6.2.1 ExampleofLTA
6.3 Growth mixture model
6.3.1 Example of GMM
6.4 Factor mixture model
Appendix 6.A Including covariate in the LTA model
7 Sample size for structural equation modeling
7.1 The rules of thumb for sample size needed for SEM
7.2 Satorra and Saris''s method for sample size estimation
7.2.1 Application of Satorra and Saris''s method to CFA model
7.2.2 Application of Satorra and Saris''s method to LGM
7.3 Monte Carlo simulation for sample size estimation
7.3.1 Application ofMonte Carlo simulation to CFA model
7.3.2 Application of Monte Carlo simulation to LGM
……
References
Index
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