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Author:   Wenjiang Fu
Publisher:   Taylor & Francis Inc
Imprint:   CRC Press Inc
Weight:   1.150kg
ISBN:  

9781466592650

ISBN 10:   1466592656
Pages:   250
Publication Date:   25 April 2018
Audience:   College/higher education ,  General/trade ,  Tertiary & Higher Education ,  General
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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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 Approach Other Approaches to the Identification Problem Suggested Readings Exercises 6. The Intrinsic Estimator, the Rationale and Properties Structure of Multiple Estimators of Age-Period-Cohort Models Intrinsic Estimator - Unbiased Estimation and Other Properties Robust Estimation via Sensitivity Analysis Summary of Asymptotic Properties of the Multiple Estimators Computation of the Intrinsic Estimator and Standard Errors Computation of the Intrinsic Estimator Computation of the Standard Errors Suggested Readings Exercises 7. Data Analysis with Intrinsic Estimator and Comparison with Others Illustration of Data Analysis with the Intrinsic Estimator Modeling Lung Cancer Mortality Data among US Males Intrinsic Estimator of Linear Models Intrinsic Estimator of Loglinear Models Modeling the HIV Mortality Data Intrinsic Estimator of Linear Models Intrinsic Estimator of Loglinear Models Illustration of Data Analysis with Constrained Estimators Illustration of Equality Constraints Illustration of Non-contrast Constraints Suggested Readings Exercises 8. Asymptotic Behavior of the Multiple Estimators - Theoretical Results Settings and Strategies to Study the Asymptotics of Multiple Estimators Assumptions and Regularity Conditions for the Asymptotics Asymptotics of Multiple Estimators Asymptotics of Multiple Estimators with Fixed t Asymptotics of Linearly Constrained Estimators Linear constraint on age effects Linear constraint on period or cohort effects Suggested Readings Exercises 9. Variance Estimation and Selection of Side-condition Variance Estimation of the Intrinsic Estimator The Delta Method for the Variance of Period and Cohort Effect Estimates Comparison of Standard Errors between the PCA and Delta Methods Selection of Side Condition Side-conditions for One-way ANOVA Models Side-conditions for Two-way ANOVA Models Side-conditions for Age - Period - Cohort Models Conclusion on Side-condition Selection 10. Unequal Spans in Age Groups and Periods with Applications to Survey Data APC Data with Unequal Spans The Intend-to-Collapse (ITC) Method APC Models for Unequal Spans Identification Problem and Intrinsic Estimator for Unequal Span Data Multiple Estimators and Identification Problem The Intrinsic Estimator for Unequal Span Data Analyzing APC Data with Unequal Spans by the Intrinsic Estimator Fitting Unequal Span Data with R Function apclinkfit Exercises Bibliography

Reviews

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

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 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 This book 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. - Springer Nature

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Wenjiang Fu

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