Chapter 1 Introduction to Model Selection

1.1 Introduction

1.2 Bayes Factor

1.3 Other Methods

1.4 Lv Measure for Model Selection

1.5 Outline of the Book

Chapter 2 Bayesian Model Selection for Nonlinear Latent Variable Models

2.1 Introduction

2.2 Brief Review of the Lv Measure

2.3 Model Description

2.4 Lv Measure for Nonlinear Structural Equation Models

2.5 A Simulation Study

2.6 A Real Example

2.7 Discussion

Chapter 3 Bayesian Model Selection for Latent Variable Models with Mixed Continuous and Categorical Data

3.1 Introduction

3.2 Model Description

3.3 Lv Measure for Nonlinear SEMs with Mixed Continuous and Ordered Categorical Data

3.4 A Simulation Study

3.5 A Real Example

3.6 Discussion

Chapter 4 Bayesian Model Selection of Two-Level Latent Variable Models

4.1 Introduction

4.2 Model Description

4.3 Lv Measure for Two-Level Structural Equation Models

4.4 A Simulation Study

4.5 A Real Example

4.6 Discussion

Chapter 5 Bayesian Model Selection for Latent Variable Models with Finite Mixtures

5.1 Introduction

5.2 Model Description

5.3 Lv Measure for Finite Mixture SEMs

5.4 A Simulation Study

5.5 A Real Example

5.6 Discussion

Chapter 6 Bayesian Model Selection of Latent Variable Model With Non-Ignorable Missing Data

6.1 Introduction

6.2 NSEMs with Non-Ignorable Missing Data

6.3 Lv Measure for NSEM with Non-Ignorable Missing Data

6.4 Illustrative Examples

6.5 Discussion

References

Appendix A Variable Description in Real Examples