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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
Loglinear Models
Model Framework
Poisson Regression Connection
Log-Linear Formulation
Cell Count Modeling
Model Types
Independence Models
Complete Independence
Mutual Independence
Conditional Independence
Association Models
Two-Factor Interactions
Three-Factor Interactions
Higher-Order Interactions
Saturated Models
Perfect Fit Concept
Parameter Interpretation
Model Fitting and Selection
Maximum Likelihood Estimation
Iterative Proportional Fitting
Model Comparison Methods
Hierarchical Model Selection
Backward and Forward Selection
Parameter Interpretation
Main Effects
Interaction Effects
Lambda Parameters
Goodness-of-Fit Assessment
Deviance Statistics
Pearson Chi-Square
Standardized Residuals
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8. Multinomial Response Models
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10. Advanced Topics