Decomposition Methods in Demography



General Information


This course is predominantly an applied demographic course, with emphasis on statistical theory only when needed. It aims to provide the basic theoretical and operational concepts to the student about Formal Decomposition Methods in Demography. The course will cover the review of key demographic (cohort, the Lexis diagram, fertility, mortality and migration) and statistical concepts (rates, ratios, proportions and probabilities), the interpretation and mechanics of the Life Table, direct and indirect standardization, decomposition of rates and proportions (with the methods proposed by Kitagawa, Cho & Retherford, Kim & Strobino, and Das Gupta), decomposition of the life expectancy at birth (with the methods proposed by Chandra Sekar, Arriaga, Lopez & Ruzicka, Pollard, and the United Nations), fertility decomposition (with the methods proposed by Kim & Strobino, Das Gupta, Anderson, and Anderson et al.), decomposition of the Total Fertility Rate (the Boongarts method for aggregate data and the Hobcraft & Little method for individual data), decomposition of the change in the Total Fertility Rate (with the method proposed by Gertler & Molyneaux). The empirical part of the course will be executed on both Excel and the R software.  I expect that students read the suggested literature specific to standardization and decomposition methods, as well participate in the data laboratory classes. At the end of the course I expect students to be able to understand and apply the methods to specific areas of interest in Demography, Geography, Sociology, Economics, and Health Studies.

Tests and Grading:

  • Weakly Assignments: Application of the method seen during the week for a particular Brazilian state using Excel or R (5 points each, totaling 70 points)
  • Final test: synchronic presentation of results from the methods covered during the course to the student’s state – 20 minutes presentation (30 points)

Class Format:

Synchronous classes:

Videoclasses in the Youtube Chanel (MDD) and material posted on UFMG Moodle

Tutoring hours: Wednesday, 07:30 am to 08:30 pm

More details: 

Download the complete syllabus here. Download pdf_icon

Data & Videoclasses


 Population Data by State, Age and Sex

 Death records by State, Age, Sex and Cause of Death

 Birth records by State, Age of Mother and Sex


 Welcome Video

Compulsory Reading (Textbook)

Chapter 1 – The nature of econometrics and economic data.pdf_icon
Chapter 2 – The simple regression model.pdf_icon
Chapter 3 – Multiple Regression Analysis: Estimation.pdf_icon
Chapter 4 – Multiple Regression Analysis: Inference. pdf_icon
Chapter 6 – Multiple Regression Analysis:Further Issues. pdf_icon
Chapter 7 – Multiple Regression Analysis with Qualitative Information: Binary (or Dummy) Variables. pdf_icon
Chapter 8 – Heteroskedasticity. pdf_icon

Weekly Assignments

Chapter 1 – Problems and Computer Exercises.pdf_icon
Chapter 2 – Problems and Computer Exercises.pdf_icon
Chapter 3 – Problems and Computer Exercises.pdf_icon
Chapter 4 – Problems and Computer Exercises.pdf_icon
Chapter 6 – Problems and Computer Exercises.pdf_icon
Chapter 7 – Problems and Computer Exercises.pdf_icon
Chapter 8 – Problems and Computer Exercises.pdf_icon
Chapter 9 – Problems and Computer Exercises.pdf_icon
Chapter 15 – Problems and Computer Exercises.pdf_icon

Teaching Assistant's Material

Introduction to R.r_symbol2

Basic R Manipulation (objects and basic functions).r_symbol2

PNAD in R. r_symbol2

Video Classes

Introduction to R and R Studio. youtubelogo

Extra Materials



Jeffrey M. Wooldridge Introductory Econometrics: A Modern Approach, 6th Edition, CENGAGE Learning, 2012.

Florian Heiss Using R for Introductory Econometrics, 1st Edition, Published using the independent publishing platform CreateSpace, 2016.

Same Level Reference Books

Kennedy, P. A Guide to Econometrics, Sixth Edition John Wiley & Sons, 2008.

Baum, C. An Introduction to Modern Econometrics Using Stata, Stata Press 2006.

Stock, J.H and M. W. Watson Introduction to Econometrics, 2nd ed., Addison-Wesley, 2006.

Hill, R. Carter, Griffths, William E. and Lim, Guay C. Principles of Econometrics, 3rd ed., John Wiley & Sons, 2008.

Advanced Readings

Goldberger, A. S. A Course in Econometrics 1st US Edition 4th Printing Edition, Harvard University Press, 2000.

Greene,W.H. Econometric Analysis, Seventh Edition, Pearson/Prentice Hall, 2012.

Woodridge, J. Econometric Analysis of Cross Section and Panel Data, 2nd Edition, MIT Press, 2010.

Long, S. and J. Freese Regression Models for Categorical and Limited Dependent Variables (Advanced Quantitative Techniques in the Social Sciences), 1nd Edition, Sage Publications, 1997.

Badi H. Baltagi Econometric Analysis of Panel Data, 4th Edition, Wiley, 2008.

James W. Hardin, Joseph M. Hilbe Generalized Linear Models and Extensions, 2nd Edition Stata Press, 2006.

Colin Cameron, Pravin K. Trivedi Regression Analysis of Count Data, Cambridge University Press, 1998.

John P. Hoffmann Generalized Linear Models: An Applied Approach, Pearson, 2004.

Cheng Hsiao Analysis of Panel Data, 2nd Edition, Cambridge University Press, 2003.