Age-Period-Cohort analysis has a wide range of applications, from chronic disease incidence and mortality data in public health and epidemiology, to many social events (birth, death, marriage, etc) in social sciences and demography, and most recently investment, healthcare and pension contribution in economics and finance. Although APC analysis has been studied for the past 40 years and a lot of methods have been developed, the identification problem has been a major hurdle in analyzing APC data, where the regression model has multiple estimators, leading to indetermination of parameters and temporal trends. A Practical Guide to Age-Period Cohort Analysis: The Identification Problem and Beyond provides practitioners a guide to using APC models as well as offers graduate students and researchers an overview of the current methods for APC analysis while clarifying the confusion of the identification problem by explaining why some methods address the problem well while others do not.
· Gives a comprehensive and in-depth review of models and methods in APC analysis.
· Provides an in-depth explanation of the identification problem and statistical approaches to addressing the problem and clarifying the confusion.
· Utilizes real data sets to illustrate different data issues that have not been addressed in the literature, including unequal intervals in age and period groups, etc.
Wenjiang Fu is a professor of statistics at the University of Houston. Professor Fu’s research interests include modeling big data, applied statistics research in health and human genome studies, and analysis of complex economic and social science data.
Table of Contents
1. Motivation of Age - Period - Cohort Analysis Examples and Applications What Is Age-Period-Cohort Analysis? Why Age - Period - Cohort Analysis? Four Data Sets in APC Studies Special Features of These Data Sets Data Source R Programming and Video Online Instruction Suggested Readings Exercises 2. Preliminary Analysis of Age - Period - Cohort Data - Graphic Methods D Plots in Age, Period, and Cohort D Plot in Age, Period, and Cohort Suggested Readings Exercises 3. Preliminary Analysis of Age - Period - Cohort Data - Basic Models Linear Models for Continuous Response Single Factor Models Two Factor Models R Programming for Linear Models Loglinear Models for Discrete Response Single Factor Models Two Factor Models R Programming for Loglinear Models Suggested Readings Exercises 4. Age-Period-Cohort Model - Complexity with Linearly Dependent Covariates Lexis Diagram and Pattern in Age, Period, and Cohort Lexis Diagram and Dependence among Age, Period, and Cohort Explicit Pattern in APC Data with Identical Spans in Age and Period Implicit Pattern in APC Data with Unequal Spans in Age and Period Complexity in Full Age - Period - Cohort Model Regression with Linearly Dependent Covariates Age-Period-Cohort Models and the Complexity R Programming for Generating the Design Matrix for APC Models Suggested Readings Exercises 5. Age-Period-Cohort Model - The Identification Problem and Various Approaches The Identification Problem and Confusion Two Popular Approaches to the Identification Problem Constraint Approach Estimable Function Ap
"The book is intended for graduates and researchers: biostatisticians, public health economists and actuaries will find this book relevant to their work and even researchers on demography and life tables will benefit." ~Royal Statistical Society