Title Page
ABSTRACT
국문 초록
Contents
CHAPTER 1. INTRODUCTION 14
1.1. Necessity of the Study 14
1.2. Purpose of the Study 16
1.3. Research Questions 17
CHAPTER 2. LITERATURE REVIEW 19
2.1. Multilevel Latent Class Analysis 19
2.2. Parametric MLCA 20
2.3. MLCA with Indicator-Specific Random Effects 23
2.4. Previous Simulation Studies of MLCA 25
CHAPTER 3. METHOD 30
3.1. Data Generation 30
3.2. Manipulated Conditions 30
3.3. Evaluation Criteria 33
3.3.1. Classification Accuracy 33
3.3.2. Parameter Estimation Accuracy 35
CHAPTER 4. RESULT 37
4.1. Classification Accuracy 37
4.1.1. Model Selection Accuracy 37
4.1.2. Classification Quality 44
4.2. Parameter Estimation Accuracy 47
4.2.1. Parameter Estimation Bias 47
4.2.2. Root Mean Square Error (RMSE) 49
4.2.3. Coverage Rate 51
CHAPTER 5. CONCLUSION 53
REFERENCES 59
Table 1. Previous simulation studies applying MLCA 26
Table 2. Manipulated factor and level 31
Table 3. Difference in AIC, BIC, and aBIC between parametric MLCA and parametric MLCA with indicator-specific random effects 39
Table 4. Difference in AIC, BIC, and aBIC between parametric one-factor MLCA and parametric MLCA with indicator-specific random effects 42
Table 5. Entropy of parametric MLCA, parametric one-factor MLCA, and parametric MLCA with indicator-specific random effects 45
Table 6. Parameter estimation bias of level 2 covariate effect on indicators in parametric MLCA with indicator-specific random effects 48
Table 7. RMSE of level 2 covariate effect on indicators in parametric MLCA with indicator-specific random effects 50
Table 8. Coverage rate of level 2 covariate effect on indicators in parametric MLCA with indicator-specific random effects 52
Figure 1. Parametric MLCA with three level 1 latent classes 21
Figure 2. Parametric MLCA with three level 1 latent classes and level 2 common factor on random latent class intercepts 23
Figure 3. Parametric MLCA with three level 1 latent classes and indicator-specific random effects 24
Figure 4. Difference in AIC, BIC, and aBIC between parametric MLCA and parametric MLCA with indicator-specific random effects 40
Figure 5. Difference in AIC, BIC, and aBIC between parametric one-factor MLCA and parametric MLCA with indicator-specific random effects 43
Figure 6. Entropy of parametric MLCA, parametric one-factor MLCA, and parametric MLCA with indicator-specific random effects 46
Figure 7. Absolute parameter estimation bias of level 2 covariate effect on indicators in parametric MLCA with indicator-specific random effects 48
Figure 8. RMSE of level 2 covariate effect on indicators in parametric MLCA with indicator-specific random effects 50
Figure 9. Coverage rate of level 2 covariate effect on indicators in parametric MLCA with indicator-specific random effects 52