Chapter 1 Introduction 1
1.1 Overview 1
1.2 Lv Measure for Model Selection 3
1.3 Outline of the Book 5
Chapter 2 Lv Measure for Nonlinear Structural Equation Models 6
2.1 Introduction 6
2.2 Brief Review of the Lv Measure 7
2.3 Model Description 9
2.4 Lv Measure for Nonlinear Structural Equation Models 10
2.5 A Simulation Study 21
2.6 A Real Example 34
2.7 Discussion 38
Chapter 3 Lv Measure for Nonlinear Structural Equation Models with Mixed Continuous and Categorical Data 40
3.1 Introduction 40
3.2 Model Description 41
3.3 Lv Measure for Nonlinear SEMs with Mixed Continuous and Ordered Categorical Data 43
3.4 A Simulation Study 53
3.5 A Real Example 60
3.6 Discussion 65
Chapter 4 Lv Measure for Model Selection of Two-Level Structural Equation Models 66
4.1 Introduction 66
4.2 Model Description 68
4.3 Lv Measure for Two-Level Structural Equation Models 71
4.4 A Simulation Study 78
4.5 A Real Example 89
4.6 Discussion 93
Chapter 5 Lv Measure for Finite Mixture Structural Equation Models 94
5.1 Introduction 94
5.2 Model Description 95
5.3 Lv Measure for Finite Mixture SEMs 98
5.4 A Simulation Study 109
5.5 A Real Example 113
5.6 Discussion 116
Chapter 6 Conclusions and Further Developments 118
6.1 Conclusions 118
6.2 Discussion and Further Developments 119
Appendix A Variable Description in Real Examples 121
Appendix B WinBUGS and R2winBUGS 122
Appendix C WinBUGS and R2winBUGS Program in Chapter 3 130
References 139
Acknowledgement 145