An Introduction to Categorical Data Analysis (Wiley Series in Probability and Statistics) 3rd Edition by Alan Agresti- Ebook PDF Instant Download/Delivery: 1119405262 978-1119405269
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ISBN 10: 1119405262
ISBN 13: 978-1119405269
Author: Alan Agresti
A valuable new edition of a standard reference
The use of statistical methods for categorical data has increased dramatically, particularly for applications in the biomedical and social sciences. An Introduction to Categorical Data Analysis, Third Edition summarizes these methods and shows readers how to use them using software. Readers will find a unified generalized linear models approach that connects logistic regression and loglinear models for discrete data with normal regression for continuous data.
Adding to the value in the new edition is:
• Illustrations of the use of R software to perform all the analyses in the book
• A new chapter on alternative methods for categorical data, including smoothing and regularization methods (such as the lasso), classification methods such as linear discriminant analysis and classification trees, and cluster analysis
• New sections in many chapters introducing the Bayesian approach for the methods of that chapter
• More than 70 analyses of data sets to illustrate application of the methods, and about 200 exercises, many containing other data sets
• An appendix showing how to use SAS, Stata, and SPSS, and an appendix with short solutions to most odd-numbered exercises
Written in an applied, nontechnical style, this book illustrates the methods using a wide variety of real data, including medical clinical trials, environmental questions, drug use by teenagers, horseshoe crab mating, basketball shooting, correlates of happiness, and much more.
An Introduction to Categorical Data Analysis, Third Edition is an invaluable tool for statisticians and biostatisticians as well as methodologists in the social and behavioral sciences, medicine and public health, marketing, education, and the biological and agricultural sciences.
An Introduction to Categorical Data Analysis (Wiley Series in Probability and Statistics) 3rd Table of contents:
Chapter 1 Introduction
1.1 Categorical Response Data
1.2 Probability Distributions for Categorical Data
1.3 Statistical Inference for a Proportion
1.4 Statistical Inference for Discrete Data
1.5 Bayesian Inference for Proportions *
1.6 Using R Software for Statistical Inference about Proportions *
Exercises
Notes
Chapter 2 Analyzing Contingency Tables
2.1 Probability Structure for Contingency Tables
2.2 Comparing Proportions in 2 × 2 Contingency Tables
2.3 The Odds Ratio
2.4 Chi-Squared Tests of Independence
2.5 Testing Independence for Ordinal Variables
2.6 Exact Frequentist and Bayesian Inference *
2.7 Association in Three-Way Tables
Exercises
Notes
Chapter 3 Generalized Linear Models
3.1 Components of a Generalized Linear Model
3.2 Generalized Linear Models for Binary Data
3.3 Generalized Linear Models for Counts and Rates
3.4 Statistical Inference and Model Checking
3.5 Fitting Generalized Linear Models
Exercises
Notes
Chapter 4 Logistic Regression
4.1 The Logistic Regression Model
4.2 Statistical Inference for Logistic Regression
4.3 Logistic Regression with Categorical Predictors
4.4 Multiple Logistic Regression
4.5 Summarizing Effects in Logistic Regression
4.6 Summarizing Predictive Power: Classification Tables, ROC Curves, and Multiple Correlation
Exercises
Notes
Chapter 5 Building and Applying Logistic Regression Models
5.1 Strategies in Model Selection
5.2 Model Checking
5.3 Infinite Estimates in Logistic Regression
5.4 Bayesian Inference, Penalized Likelihood, and Conditional Likelihood for Logistic Regression *
5.5 Alternative Link Functions: Linear Probability and Probit Models *
5.6 Sample Size and Power for Logistic Regression *
Exercises
Notes
Chapter 6 Multicategory Logit Models
6.1 Baseline-Category Logit Models for Nominal Responses
6.2 Cumulative Logit Models for Ordinal Responses
6.3 Cumulative Link Models: Model Checking and Extensions *
6.4 Paired-Category Logit Modeling of Ordinal Responses*
Exercises
Notes
Chapter 7 Loglinear Models for Contingency Tables and Counts
7.1 Loglinear Models for Counts in Contingency Tables
7.2 Statistical Inference for Loglinear Models
7.3 The Loglinear – Logistic Model Connection
7.4 Independence Graphs and Collapsibility
7.5 Modeling Ordinal Associations in Contingency Tables
7.6 Loglinear Modeling of Count Response Variables *
Exercises
Notes
Chapter 8 Models for Matched Pairs
8.1 Comparing Dependent Proportions for Binary Matched Pairs
8.2 Marginal Models and Subject-Specific Models for Matched Pairs
8.3 Comparing Proportions for Nominal Matched-Pairs Responses
8.4 Comparing Proportions for Ordinal Matched-Pairs Responses
8.5 Analyzing Rater Agreement *
8.6 Bradley–Terry Model for Paired Preferences *
Exercises
Notes
Chapter 9 Marginal Modeling of Correlated, Clustered Responses
9.1 Marginal Models Versus Subject-Specific Models
9.2 Marginal Modeling: The Generalized Estimating Equations (GEE) Approach
9.3 Marginal Modeling for Clustered Multinomial Responses
9.4 Transitional Modeling, Given the Past
9.5 Dealing with Missing Data *
Exercises
Notes
Chapter 10 Random Effects: Generalized Linear Mixed Models
10.1 Random Effects Modeling of Clustered Categorical Data
10.2 Examples: Random Effects Models for Binary Data
10.3 Extensions to Multinomial Responses and Multiple Random Effect Terms
10.4 Multilevel (Hierarchical) Models
10.5 Latent Class Models *
Exercises
Notes
Chapter 11 Classification and Smoothing *
11.1 Classification: Linear Discriminant Analysis
11.2 Classification: Tree-Based Prediction
11.3 Cluster Analysis for Categorical Responses
11.4 Smoothing: Generalized Additive Models
11.5 Regularization for High-Dimensional Categorical Data (Large p)
Exercises
Notes
Chapter 12 A Historical Tour of Categorical Data Analysis *
Appendix: Software for Categorical Data Analysis
A.1 R for Categorical Data Analysis
A.2 SAS for Categorical Data Analysis
A.3 STATA for Categorical Data Analysis
A.4 SPSS for Categorical Data Analysis
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