**An Introduction to Categorical Data Analysis 3rd Edition by Alan Agresti, ISBN-13: 978-1119405269**

[PDF eBook eTextbook]

- Publisher: Wiley; 3rd edition (November 5, 2018)
- Language: English
- 394 pages
- ISBN-10: 1119405262
- ISBN-13: 978-1119405269

**A valuable new edition of a standard reference.**

**Table of Contents:**

Preface ix

About the Companion Website xiii

1 Introduction 1

1.1 Categorical Response Data 1

1.2 Probability Distributions for Categorical Data 3

1.3 Statistical Inference for a Proportion 5

1.4 Statistical Inference for Discrete Data 10

1.5 Bayesian Inference for Proportions * 13

1.6 Using R Software for Statistical Inference about Proportions * 17

Exercises 21

2 Analyzing Contingency Tables 25

2.1 Probability Structure for Contingency Tables 26

2.2 Comparing Proportions in 2 × 2 Contingency Tables 29

2.3 The Odds Ratio 31

2.4 Chi-Squared Tests of Independence 36

2.5 Testing Independence for Ordinal Variables 42

2.6 Exact Frequentist and Bayesian Inference * 46

2.7 Association in Three-Way Tables 52

Exercises 56

3 Generalized Linear Models 65

3.1 Components of a Generalized Linear Model 66

3.2 Generalized Linear Models for Binary Data 68

3.3 Generalized Linear Models for Counts and Rates 72

3.4 Statistical Inference and Model Checking 76

3.5 Fitting Generalized Linear Models 82

Exercises 84

4 Logistic Regression 89

4.1 The Logistic Regression Model 89

4.2 **Statistical** Inference for Logistic Regression 94

4.3 Logistic Regression with Categorical Predictors 98

4.4 Multiple Logistic Regression 102

4.5 Summarizing Effects in Logistic Regression 107

4.6 Summarizing Predictive Power: Classification Tables, ROC Curves, and Multiple Correlation 110

Exercises 113

5 Building and Applying Logistic Regression Models 123

5.1 Strategies in Model Selection 123

5.2 Model Checking 130

5.3 Infinite Estimates in Logistic Regression 136

5.4 Bayesian Inference, Penalized Likelihood, and Conditional Likelihood for Logistic Regression * 140

5.5 Alternative Link Functions: Linear Probability and Probit Models * 145

5.6 Sample Size and Power for Logistic Regression * 150

Exercises 151

6 Multicategory Logit Models 159

6.1 Baseline-Category Logit Models for Nominal Responses 159

6.2 Cumulative Logit Models for Ordinal Responses 167

6.3 Cumulative Link Models: Model Checking and Extensions * 176

6.4 Paired-Category Logit Modeling of Ordinal Responses * 184

Exercises 187

7 Loglinear Models for Contingency Tables and Counts 193

7.1 Loglinear Models for Counts in Contingency Tables 194

7.2 Statistical Inference for Loglinear Models 200

7.3 The Loglinear – Logistic Model Connection 207

7.4 Independence Graphs and Collapsibility 210

7.5 Modeling Ordinal Associations in Contingency Tables 214

7.6 Loglinear Modeling of Count Response Variables * 217

Exercises 221

8 Models for Matched Pairs 227

8.1 Comparing Dependent Proportions for Binary Matched Pairs 228

8.2 Marginal Models and Subject-Specific Models for Matched Pairs 230

8.3 Comparing Proportions for Nominal Matched-Pairs Responses 235

8.4 Comparing Proportions for Ordinal Matched-Pairs Responses 239

8.5 Analyzing Rater Agreement * 243

8.6 Bradley–Terry Model for Paired Preferences * 247

Exercises 249

9 Marginal Modeling of Correlated, Clustered Responses 253

9.1 Marginal Models Versus Subject-Specific Models 254

9.2 Marginal Modeling: The Generalized Estimating Equations (GEE) Approach 255

9.3 Marginal Modeling for Clustered Multinomial Responses 260

9.4 Transitional Modeling, Given the Past 263

9.5 Dealing with Missing Data * 266

Exercises 268

10 Random Effects: Generalized Linear Mixed Models 273

10.1 Random Effects Modeling of Clustered Categorical Data 273

10.2 Examples: Random Effects Models for Binary Data 278

10.3 Extensions to Multinomial Responses and Multiple Random Effect Terms 284

10.4 Multilevel (Hierarchical) Models 288

10.5 Latent Class Models * 291

Exercises 295

11 Classification and Smoothing * 299

11.1 Classification: Linear Discriminant Analysis 300

11.2 Classification: Tree-Based Prediction 302

11.3 Cluster Analysis for Categorical Responses 306

11.4 Smoothing: Generalized Additive Models 310

11.5 Regularization for High-Dimensional Categorical Data (Large p) 313

Exercises 321

12 A Historical Tour of Categorical Data Analysis * 325

Appendix: Software for Categorical Data Analysis 331

A.1 R for Categorical Data Analysis 331

A.2 SAS for Categorical Data Analysis 332

A.3 Stata for Categorical Data Analysis 342

A.4 **SPSS** for Categorical Data Analysis 346

Brief Solutions to Odd-Numbered Exercises 349

Bibliography 363

Examples Index 365

Subject Index 369

* ALAN AGRESTI* is Distinguished Professor Emeritus at the

*He has presented short courses on categorical data methods in 35 countries. He is the author of seven books, including the bestselling Categorical Data Analysis (Wiley), Foundations of Linear and Generalized Linear Models (Wiley), Statistics: The Art and Science of Learning from Data (Pearson), and Statistical Methods for the Social Sciences (Pearson).*

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