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| Preface | |
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| Introduction: Distributions and Inference for Categorical Data | |
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| Categorical Response Data | |
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| Distributions for Categorical Data | |
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| Statistical Inference for Categorical Data | |
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| Statistical Inference for Binomial Parameters | |
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| Statistical Inference for Multinomial Parameters | |
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| Bayesian Inference for Binomial and Multinomial Parameters Notes Exercises | |
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| Describing Contingency Tables | |
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| Probability Structure for Contingency Tables | |
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| Comparing Two Proportions | |
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| Conditional Association in Stratified 2x2 Tables | |
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| Measuring Association in I x J Tables Notes Exercises | |
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| Inference for Two-Way Contingency Tables | |
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| Confidence Intervals for Association Parameters | |
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| Testing Independence in Two-Way Contingency Tables | |
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| Following-Up Chi-Squared Tests | |
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| Two-Way Tables with Ordered Classifications | |
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| Small-Sample Inference for Contingency Tables | |
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| Bayesian Inference for Two-Way Contingency Tables | |
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| Extensions for Multiway Tables and Nontabulated Responses Notes Exercises | |
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| Introduction to Generalized Linear Models | |
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| The Generalized Linear Model | |
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| Generalized Linear Models for Binary Data | |
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| Generalized Linear Models for Counts and Rates | |
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| Moments and Likelihood for Generalized Linear Models | |
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| Inference and Model Checking for Generalized Linear Models | |
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| Fitting Generalized Linear Models | |
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| Quasi-Likelihood and Generalized Linear Models Notes Exercises | |
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| Logistic Regression | |
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| Interpreting Parameters in Logistic Regression | |
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| Inference for Logistic Regression | |
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| Logistic Models with Categorical Predictors | |
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| Multiple Logistic Regression | |
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| Fitting Logistic Regression Models Notes Exercises | |
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| Building, Checking, and Applying Logistic Regression Models | |
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| Strategies in Model Selection | |
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| Logistic Regression Diagnostics | |
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| Summarizing the Predictive Power of a Model | |
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| Mantel-Haenszel and Related Methods for Multiple 2x2 Tables | |
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| Detecting and Dealing with Infinite Estimates | |
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| Sample Size and Power Considerations Notes Exercises | |
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| Alternative Modeling of Binary Response Data | |
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| Probit and Complementary Log-Log Models | |
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| Bayesian Inference for Binary Regression | |
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| Conditional Logistic Regression | |
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| Smoothing: Kernels, Penalized Likelihood, Generalized Additive Models | |
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| Issues in Analyzing High-Dimensional Categorical Data Notes Exercises | |
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| Models for Multinomial Responses | |
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| Nominal Responses: Baseline-Category Logit Models | |
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| Ordinal Responses: Cumulative Logit Models | |
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| Ordinal Responses: Alternative Models | |
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| Testing Conditional Independence in I ? J ? K Tables | |
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| Discrete-Choice Models | |
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| Bayesian Modeling of Multinomial Responses Notes Exercises | |
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| Loglinear Models for Contingency Tables | |
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| Loglinear Models for Two-Way Tables | |
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| Loglinear Models for Independence and Interaction in Three-Way Tables | |
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| Inference for Loglinear Models | |
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| Loglinear Models for Higher Dimensions | |
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| The Loglinear?Logistic Model Connection | |
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| Loglinear Model Fitting: Likelihood Equations and Asymptotic Distributions | |
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| Loglinear Model Fitting: Iterative Methods and their Application Notes Exercises | |
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| Building and Extending Loglinear Models | |
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| Conditional Independence Graphs and Collapsibility | |
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| Model Selection and Comparison | |
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| Residuals for Detecting Cell-Specific Lack of Fit | |
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| Modeling Ordinal Associations | |
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| Generalized Loglinear and Association Models, Correlation Models, and Correspondence Analysis | |
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| Empty Cells and Sparseness in Modeling Contingency Tables | |
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| Bayesian Loglinear Modeling Notes Exercises | |
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| Models for Matched Pairs | |
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| Comparing Dependent Proportions | |
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| Conditional Logistic Regression for Binary Matched Pairs | |
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| Marginal Models for Square Contingency Tables | |
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| Symmetry, Quasi-symmetry, and Quasi-independence | |
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| Measuring Agreement Between Observers | |
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| Bradley-Terry Model for Paired Preferences | |
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| Marginal Models and Quasi-symmetry Models for Matched Sets Notes Exercises | |
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| Clustered Categorical Data: Marginal and Transitional Models | |
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| Marginal Modeling: Maximum Likelihood Approach | |
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| Marginal Modeling: Generalized Estimating Equations Approach | |
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| Quasi-likelihood and Its GEE Multivariate Extension: Details | |
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| Transitional Models: Markov Chain and Time Series Models Notes Exercises | |
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| Clustered Categorical Data: Random Effects Models | |
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| Random Effects Modeling of Clustered Categorical Data | |
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| Binary Responses: The Logistic-Normal Model | |
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| Examples of Random Effects Models for Binary Data | |
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| Random Effects Models for Multinomial Data | |
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| Multilevel Models | |
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| GLMM Fitting, Inference, and Prediction | |
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| Bayesian Multivariate Categorical Modeling Notes Exercises | |
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| Other Mixture Models for Discrete Data | |
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| Latent Class Models | |
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| Nonparametric Random Effects Models | |
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| Beta-Binomial Models | |
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| Negative Binomial Regression | |
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| Poisson Regression with Random Effects Notes Exercises | |
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| Non-Model-Based Classification and Clustering | |
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| Classification: Linear Discriminant Analysis | |
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| Classification: Tree-Structured Prediction | |
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| Cluster Analysis for Categorical Data Notes Exercises | |
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| Large- and Small-Sample Theory for Parametric Models | |
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| Delta Method | |
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| Asymptotic Distributions of Estimators of Model Parameters and Cell Probabilities | |
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| Asymptotic Distributions of Residuals and Goodness-of-Fit Statistics | |
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| Asymptotic Distributions for Logit/Loglinear Models | |
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| Small-Sample Significance Tests for Contingency Tables | |
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| Small-Sample Confidence Intervals for Categorical Data | |
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| Alternative Estimation Theory for Parametric Models Notes Exercises | |
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| Historical Tour of Categorical Data Analysis | |
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| Pearson-Yule Association Controversy | |
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| R. A. Fisher's Contributions | |
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| Logistic Regression | |
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| Multiway Contingency Tables and Loglinear Models | |
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| Bayesian Methods for Categorical Data | |
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| A Look Forward, and Backward | |
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| Statistical Software for Categorical Data Analysis | |
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| Chi-Squared Distribution Values | |
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| References | |
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| Author Index | |
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| Example Index | |
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| Subject Index | |