
Statistical Methods for Categorical Data Analysis
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This book presents the essential methods and models that form the core of contemporary social statistics. The book covers a remarkable range of models that have applications in sociology, demography, psychometrics, econometrics, political science, biostatistics, and other fields. It will be especially useful as a graduate textbook for students in advanced social statistics courses and as a reference book for applied researchers. Companion website also available, at https://webspace.utexas.edu/dpowers/www/
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Content
- Front cover
- Statistical Methods for Categorical Data Analysis: 2nd Edition
- Copyright page
- Dedication
- Contents
- List of Figures
- List of Tables
- Preface
- New to the 2nd Edition
- Use of This Text in a Course on Categorical Data Models
- Acknowledgments
- Chapter 1. Introduction
- 1.1. Why Categorical Data Analysisquest
- 1.2. Two Philosophies of Categorical Data
- 1.3. An Historical Note
- 1.4. Approach of This Book
- Chapter 2. Review of Linear Regression Models
- 2.1. Regression Models
- 2.2. Linear Regression Models Revisited
- 2.3. Differences between Categorical and Continuous Dependent Variables
- Chapter 3. Models for Binary Data
- 3.1. Introduction to Binary Data
- 3.2. The Transformational Approach
- 3.3. Justification of Logit and Probit Models
- 3.4. Interpreting Estimates
- 3.5. Alternative Probability Models
- 3.6. Summary
- Chapter 4. Loglinear Models for Contingency Tables
- 4.1. Contingency Tables
- 4.2. Measures of Association
- 4.3. Estimation and Goodness-of-Fit
- 4.4. Models for Two-Way Tables
- 4.5. Models for Ordinal Variables
- 4.6. Models for Multiway Tables
- Chapter 5. Multilevel Models for Binary Data
- 5.1. Introduction
- 5.2. Models for Clustered Binary Data
- 5.3. Models for Longitudinal Binary Data
- 5.4. Estimation
- 5.5. Item Response Models
- 5.6. Summary
- Chapter 6. Statistical Models for Event Occurrence
- 6.1. Introduction
- 6.2. Frameworks for Analyzing Transition Data
- 6.3. Discrete-Time Methods
- 6.4. Continuous-Time Models
- 6.5. Semiparametric Rate Models
- 6.6. Summary
- Chapter 7. Models for Ordinal Dependent Variables
- 7.1. Introduction
- 7.2. Scoring Methods
- 7.3. Logit Models for Grouped Data
- 7.4. Ordered Logit and Probit Models
- 7.5. Summary
- Chapter 8. Models for Nominal Dependent Variables
- 8.1. Introduction
- 8.2. Multinomial Logit Models
- 8.3. The Standard Multinomial Logit Model
- 8.4. Loglinear Models for Grouped Data
- 8.5. The Latent Variable Approach
- 8.6. The Conditional Logit Model
- 8.7. Specification Issues
- 8.8. Summary
- Appendix A: The Matrix Approach to Regression
- A.1. Introduction
- A.2. Matrix Algebra
- Appendix B: Maximum Likelihood Estimation
- B.1. Introduction
- B.2. Basic Principles
- References
- Subject Index
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