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Statistics
Categorical Data Analysis
1. Foundations of Categorical Data
2. Descriptive Analysis of Categorical Data
3. Probability Foundations for Categorical Data
4. Single Variable Inference
5. Two-Variable Analysis
6. Stratified Analysis
7. Logistic Regression
8. Multinomial Response Models
9. Loglinear Models
10. Advanced Topics
11. Computational Methods
Multinomial Response Models
Nominal Response Models
Multinomial Logistic Regression
Model Structure
Baseline Category Selection
Parameter Interpretation
Maximum Likelihood Estimation
Independence of Irrelevant Alternatives
Assumption and Testing
Violations and Consequences
Ordinal Response Models
Proportional Odds Model
Cumulative Logit Formulation
Proportional Odds Assumption
Parameter Interpretation
Testing Assumptions
Continuation Ratio Models
Sequential Logit Models
Applications and Interpretation
Adjacent Categories Models
Model Formulation
Comparison with Proportional Odds
Model Selection and Comparison
Likelihood Ratio Tests
Information Criteria
Cross-Validation Methods
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7. Logistic Regression
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9. Loglinear Models