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A practical guide to age-period-cohort analysis : the identification problem and beyond

A practical guide to age-period-cohort analysis : the identification problem and beyond (1회 대출)

자료유형
단행본
개인저자
Fu, Wenjiang.
서명 / 저자사항
A practical guide to age-period-cohort analysis : the identification problem and beyond / Wenjiang Fu.
발행사항
Boca Raton :   CRC Press, Taylor & Francis Group,   c2018.  
형태사항
xx, 230 p. ; 25 cm.
ISBN
9781466592650 (hardback : alk. paper)
서지주기
Includes bibliographical references (p.219-225) and index.
일반주제명
Cohort analysis. Age groups --Statistical methods.
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082 0 0 ▼a 001.4/22 ▼2 23
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100 1 ▼a Fu, Wenjiang.
245 1 2 ▼a A practical guide to age-period-cohort analysis : ▼b the identification problem and beyond / ▼c Wenjiang Fu.
260 ▼a Boca Raton : ▼b CRC Press, Taylor & Francis Group, ▼c c2018.
300 ▼a xx, 230 p. ; ▼c 25 cm.
504 ▼a Includes bibliographical references (p.219-225) and index.
650 0 ▼a Cohort analysis.
650 0 ▼a Age groups ▼x Statistical methods.
945 ▼a KLPA

소장정보

No. 소장처 청구기호 등록번호 도서상태 반납예정일 예약 서비스
No. 1 소장처 중앙도서관/서고6층/ 청구기호 001.422 F949p 등록번호 111825916 (1회 대출) 도서상태 대출가능 반납예정일 예약 서비스 B M

컨텐츠정보

책소개

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.

Features

· 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.

  • Contains step-by-step modeling instruction and R programs to demonstrate how to conduct APC analysis and how to conduct prediction for the future
  • Reflects the most recent development in APC modeling and analysis including the intrinsic estimator
  • 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.



    A popular and efficient tool to analyze grouped data of a certain event, APC analysis is used in a range of application areas, including public health, social science, demography, and economics. This book first describes the basic graphic presentation and modeling of APC data using R. Taking a more theoretical point of view, it then presents various methods for addressing the complex identification problem. Appendices cover the necessary background material.




    정보제공 : Aladin

    목차

    1. Motivation of APC Analysis
    
    
    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 APC Data | Graphic Methods
    
    
    D Plots in Age, Period, and Cohort
    
    
    D Plots in Age, Period, and Cohort
    
    
    Suggested Readings
    
    
    Exercises
    
    
    
    
    
    
    
    
    
    
    
    
    3. Preliminary Analysis of APC 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
    
    
    Modeling Over-dispersion with Quasi-likelihood
    
    
    R Programming for Loglinear Models
    
    
    Suggested Readings
    
    
    Exercises
    
    
    
    
    
    
    
    
    
    
    
    
    4. APC Models | Complexity with Linearly Dependent Co-variates
    
    
    Lexis Diagram and Patterns 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 Models
    
    
    Regression with Linearly Dependent Covariates
    
    
    Age-Period-Cohort Models and Complexity
    
    
    R Programming for Generating the Design Matrix for APC Models
    
    
    Suggested Readings
    
    
    Exercises
    
    
    
    
    
    
    
    
    
    
    
    
    5. APC Models | The Identi_cation Problem and 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. Intrinsic Estimator, the Rationale and Properties
    
    
    Structure of Multiple Estimators
    
    
    Intrinsic Estimator: Unbiased Estimates and Other Properties
    
    
    Robust Estimation via Sensitivity Analysis
    
    
    Summary of Asymptotic Properties of the Multiple Estimators
    
    
    Computation of Intrinsic Estimator and Standard Errors
    
    
    Computation of Intrinsic Estimator
    
    
    Computation of Standard Errors
    
    
    Suggested Readings
    
    
    Exercises
    
    
    
    
    
    
    
    
    
    
    
    
    7. Data Analysis with Intrinsic Estimator and Comparison
    
    
    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 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
    
    
    Estimability of Intrinsic Estimator
    
    
    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 Co-hort 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
    
    
    Suggested Readings
    
    
    Exercises
    
    
    
    
    
    
    
    
    10. Unequal Spans in Age and Period Groups
    
    
    
    
    
    
    
    
    
    APC Data with Unequal Spans
    
    
    The Intend-to-Collapse (ITC) Method
    
    
    APC Models for Unequal Spans
    
    
    Identi_cation Problem and Intrinsic Estimator for Unequal Span Data
    
    
    Multiple Estimators and Identi_cation Problem
    
    
    The Intrinsic Estimator for Unequal Span Data
    
    
    Analysis of Unequal Span Data
    
    
    Fitting Unequal Span Data with R Function apclinkfit
    
    
    Exercises
    
    
    
    
    
    Bibliography
    
    
    
    
    
    Index

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