Developed from the authors’ graduate-level biostatistics course, Applied Categorical and Count Data Analysis explains how to perform the statistical analysis of discrete data, including categorical and count outcomes. The authors describe the basic ideas underlying each concept, model, and approach to give readers a good grasp of the fundamentals of the methodology without using rigorous mathematical arguments.
The text covers classic concepts and popular topics, such as contingency tables, logistic models, and Poisson regression models, along with modern areas that include models for zero-modified count outcomes, parametric and semiparametric longitudinal data analysis, reliability analysis, and methods for dealing with missing values. R, SAS, SPSS, and Stata programming codes are provided for all the examples, enabling readers to immediately experiment with the data in the examples and even adapt or extend the codes to fit data from their own studies.
Designed for a one-semester course for graduate and senior undergraduate students in biostatistics, this self-contained text is also suitable as a self-learning guide for biomedical and psychosocial researchers. It will help readers analyze data with discrete variables in a wide range of biomedical and psychosocial research fields.
Table of Contents
Outline of the Book
Review of Key Statistical Results
Inference for One-Way Frequency Table
Inference for 2 x 2 Table
Inference for 2 x r Tables
Inference for s x r Table
Measures of Association
Sets of Contingency Tables
Sets of 2 x 2 Tables
Sets of s x r Tables
Regression Models for Categorical Response
Logistic Regression for Binary Response
Inference about Model Parameters
Goodness of Fit
Generalized Linear Models
Regression Models for Polytomous Response
Regression Models for Count Response
Poisson Regression Model for Count Response
Goodness of Fit
Parametric Models for Clustered Count Response
Loglinear Models for Contingency Tables
Analysis of Loglinear Models
Two-Way Contingency Tables
Three-Way Contingency Tables
Analyses of Discrete Survival Time
Special Features of Survival Data
Life Table Methods
Longitudinal Data Analysis
Data Preparation and Exploration
Generalized Linear Mixed-Effects Model
Evaluation of Instruments
Analysis of Incomplete Data
Incomplete Data and Associated Impact
Missing Data Mechanism
Methods for Incomplete Data
Exercises appear at the end of each chapter.
Wan Tang is a Clinical Associate Professor in the Department of Global Biostatistics and Data Science, Tulane University School of Public Health and Tropical Medicine. Dr. Tang’s research interests include longitudinal data analysis, missing data modeling, structural equation models, causal inference, and nonparametric smoothing methods.
Hua He, Ph.D. is an Associate Professor in Biostatistics at the Department of Epidemiology at Tulane University School of Public Health and Tropical Medicine. Dr. He is a highly experienced biostatistician with expertise in longitudinal data analysis, structural equation models, potential outcome based causal inference, distribution-free models, ROC analysis and their applications to observational studies, and randomized controlled trials across a range of disciplines, especially in the behavioral and social sciences. She has co-authored a series of publications in peer-reviewed journals, one textbook on categorical data analysis and co-edited a book on statistical causal inference and their applications in public health research.
Xin Tu (Ph.D.) is a Professor in the Division of Biostatistics and Bioinformatics, Department of Family Medicine and Public Health, UCSD. Dr. Tu is well versed in statistical methods and their applications to a range of disciplines, particularly within the fields of biomedical, behavioral and social sciences. He has co-authored over 200 peer-reviewed publications, two textbooks on categorical data and applied U-statistics, and co-edited books on modern clinical trials and social network data analysis. He has done important work in the areas of longitudinal data analysis, U-statistics, survival analysis with interval censoring and truncation, and pooled testing, and has successfully applied his novel development to addressing important methodological problems in HIV/AIDS, mental health and psychosocial research.
"There is a lot to like about this book. The topics are well written and the issues are clearly explained. … It covers very well topics that are not traditionally discussed in CDA books and for this reason it certainly is a valuable addition to one’s bookshelf. For those who are looking for a book with a focus on applied data analysis (especially from a biostatistics perspective), this is a must-have book. For those who are interested in expanding their knowledge of recent advances in a broad range of CDA tools, [it] will serve you very well."
—Australian & New Zealand Journal of Statistics, 2015
"… the book is well-written and for a mathematically oriented reader it should be quite easy to understand the methods introduced. Exercises, combined with practical data analyses, will certainly facilitate the adoption of the material."
—Tapio Nummi, International Statistical Review, 2014
"The combination of more advanced and mathematical explanations, newer topics, and sample code from all major software platforms makes this book a valuable addition to the literature on categorical data analysis."
—Russell L. Zaretzki, Journal of the American Statistical Association, September 2013