Theory and Practice of Econometrics
Spring 2011
Jeffrey Parker
Course Outline and Reading List
0. Review of basic statistics
1. Introduction to econometrics
2. The bivariate regression model
3. Inference in the bivariate regression model
4. Basics of multiple regression
5. Inference in the multiple regression model
6. Functional form and nonlinearities
7. Model assessment
8. Heteroskedasticity, GLS, and robust standard errors
9. Regression with stationary time series
10. Regression with stochastic regressors
11. Endogenous regressors, instrumental variables, and simultaneous equations
12. Time-series regression with nonstationary variables
13. Models for pooled and panel data
14. Limited dependent variables
15. Advanced topics
Basic text materials
Most of the readings and assignments for Econ 312 will be taken from the following list of texts, which will be on reserve in the library. Notation varies some across texts, so be careful when switching among them. Class presentations will conform to the notation and sequencing of the main text, by Hill, Griffiths, and Lim. On the list, ** indicates texts at about the same level of mathematical complexity as the HGL text. Texts marked with *** are more difficult; those marked * are more basic.
- **Hill, R. Carter, William E. Griffiths, and Guan C. Lim, Principles of Econometrics, 4th ed., New York: John Wiley & Sons, 2012. (The main text for the course. Most reading and many assignments will be drawn from here. Yes, books published in 2011 are allowed to have a 2012 copyright so that they look newer longer.)
- **Stock, James H., and Mark W. Watson, Introduction to Econometrics, 2nd ed., Boston: Pearson Addison Wesley, 2007. (This is the text I used the last two times I taught Econ 312. It is a good one. There is a 3rd edition that is now out, but the library has the 2nd so that's the one to which I will refer you.)
- **Berndt, Ernst, The Practice of Econometrics: Classic and Contemporary, Reading, Mass.: Addison Wesley, 1990. (Not a traditional econometrics text. Contains topical chapters on applications of econometrics with data sets and exercises. Some weekly econometrics projects will be drawn from here.)
- **Griffiths, William E., R. Carter Hill, and George G. Judge, Learning and Practicing Econometrics, New York: John Wiley & Sons, 1993. (A former text by some of the same authors that is perfect in level and detail, but very out of date.)
- **Wooldridge, Jeffrey, Introductory Econometrics: A Modern Approach, 4th ed., Mason, Ohio: Thomson South-Western, 2006. (A common textbook for this course. It is very up-to-date, but somewhat different in style than HGL.)
- ***Davidson, Russell, and James G. MacKinnon, Econometric Theory and Methods, Oxford: Oxford University Press, 2004.
- ***Greene, William, Econometric Analysis, 6th ed., Englewood Cliffs, N.J.: Prentice-Hall, 2008. (An excellent advanced text in econometrics. This uses more advanced mathematics and statistics than we will, but is a good reference for the theory underlying our estimators and for lots of extensions and variations.)
- ***Hamilton, James, Time Series Analysis, Princeton: Princeton University Press, 1994. (A specialized time-series book that is very difficult but authoritative.)
- ***Enders, Walter, Applied Econometric Time Series, New York: John Wiley & Sons, 1995. (Another time-series text that we may use for special topics toward the end of the course.)
- *Studenmund, A. H., Using Econometrics: A Practical Guide, 5th ed., Boston: Pearson Addison Wesley, 2006. (A somewhat easier text used for Econ 311 at Reed.)
- *Murray, Michael, Econometrics: A Modern Introduction, Boston: Pearson Addison Wesley, 2006. (Another simpler text.)
Note that the material on the syllabus below will be adjusted as the semester proceeds. Dates are approximate.
0. Review of basic statistics
January 26-28, 10-12am in Vollum 228
Required readings
- None
1. Introduction to econometrics
January 31
Required readings
- Hill, Griffiths, and Lim, Chapter 1
Additional sources
- Wooldridge, Chapter 1
- Stock and Watson, Chapter 1
2. The bivariate regression model
February 2, 4, 7, 9, 10
Topics
- What regression does
- Assumptions of the simple-regression model
- Strategies for obtaining regression estimators: method of least-squares, method of moments, method of maximum likelihood
- Least-squares regression model in matrix notation
- Sampling distribution of OLS estimator in finite samples
- Asymptotic properties of the OLS estimator
- How good is the OLS estimator?
Required readings
- Hill, Griffiths, and Lim, Chapter 2
- Griffiths, Hill, and Judge, Section 5.4, augmented by their Appendix 3B as necessary.
- Stock and Watson, Sections 17.2, 17.3.
Additional sources
- Griffiths, Hill, and Judge, rest of Chapter 5.
- Stock and Watson, Chapters 4 and Sections 5.4 and 5.5.
- Wooldridge, Chapter 2.
- Davidson and MacKinnon, Section 1.3 on specification of regressions, Section 1.5 on method of moments.
3. Inference in the bivariate regression model
February 11, 14, 16, 17
Topics
- Interval estimators
- Hypothesis tests about single regression coefficients
- Prediction
- Goodness of fit
- Specification issues and function form
- Analyzing residuals
Required readings
- Hill, Griffiths, and Lim, Chapters 3 and 4.
Additional sources
- Stock and Watson, Chapter 5.
- Asympototic properties are covered in the multiple-regression context in Griffiths, Hill, and Judge, Chapter 14.
4. Basics of multiple regression
February 18 and 21
Topics
- Omitted-variable bias
- The multiple-regression model
- OLS assumptions in multiple regression
- Distribution of OLS multiple-regression estimators
Required readings
- Hill, Griffiths, and Lim, Chapter 5.
- Stock and Watson, Section 18.1 and 18.5.
Additional sources
- Stock and Watson, Chapter 6.
- Griffiths, Hill, and Judge, Chapter 9.
- Wooldridge, Chapter 3.
5. Inference in the multiple regression model
February 23, 24, 25, 28
Topics
- Kinds of tests in a multiple regression
- Hypothesis tests on a single coefficient
- Testing joint hypotheses
- Single hypotheses involving multiple coefficients
- Multivariate confidence sets
- Goodness of fit in multiple regression
- Some specification issues
- Multicollinearity
- Applications of multiple regression
Required readings
- Hill, Griffiths, and Lim, Chapter 6.
Additional sources
- Stock and Watson, Chapter 7.
- Griffiths, Hill, and Judge, Chapters 10 and 11.
- Wooldridge, Chapter 4 through 6 and 8.
6. Functional form and nonlinearities
March 2 and 3
Topics
- Levels of measurement
- Dummy (binary or indicator) variables
- Interaction models
- Treatment effects
- Nonlinearity in parameters vs. nonlinearity in variables
- Quadratic and higher-order polynomial models
- Nonlinear least squares
Required readings
- Hill, Griffiths, and Lim, Chapter 7.
Additional sources
- Stock and Watson, Chapter 8.
- Woodridge, Chapter 9.
- Griffiths, Hill, and Judge, Chapter 8.
- Greene, Chapters 6 and 7 (more advanced).
7. Model assessment
March 4
Topics
- Internal vs. external validity
- Assessing external validity
- Assessing internal validity
- Validity in forecasting/prediction
Required readings
- Stock and Watson, Chapter 9.
Additional sources
- Woodridge, Chapter 9.
Midterm Exam
The midterm exam is (tentatively) scheduled as follows:
- In-class part: March 11
- Take-home part: Handed out March 11; due March 15
8. Heteroskedasticity, generalized least squares, and robust estimation
March 7 and 9
Topics
- Nature of heteroskedasticity
- Tests for heteroskedasticity
- OLS with robust standard errors
- Generalized least squares/weighted least squares
Required readings
- Hill, Griffiths, and Lim, Chapter 8.
- Griffiths, Hill, and Judge, Sections 15.1 and 15.4.
Additional sources
- Stock and Watson, Sections 18,2 and 18.6.
- Woodridge, Chapter 8.
- Griffiths, Hill, and Judge, rest of Chapter 15.
- Greene, Chapter 8 (more advanced).
9. Models for stationary time series
March 14 through 28
Topics
- Dynamic models and distributed lags
- Finite distributed lags
- Models with lagged dependent variables
- Serial correlation of the error: implications, detection, correction
Required Readings
- Hill, Griffiths, and Lim, Chapter 9 and Section 12.1.
Suggested Problems
- 9.2, 9.7, 9,9, and 9.11
10. Regression with stochastic regressors and instrumental variables
March 30 through April 1
Topics
- Implications of and assumptions for random regressors
- Theory of instrumental variables
- Two-stage least-squares regression
- Overidentification and generalized-method-of-moments estimators
- Instrument strength and specification tests
Required Readings
- Hill. Griffiths, and Lim, Chapter 10.
Suggested Problems
- 10.1 and 10.2
11. Estimation of simultaneous equations
April 4 through April 7
Topics
- System vs. single-equation estimation
- Identification
- Estimation of systems: seemingly-unrelated regressions and three-stage least squares
Required Readings
- Hill. Griffiths, and Lim, Chapter 11.
- Griffiths, Hill, and Judge, Chapters 17 through 19.
Suggested Problems
- 11.1, 11.3, and 11.4
12. Time-series regression with nonstationary variables
April 7 through 15
Topics
- Definitions of stationarity and nonstationarity
- Unit roots and integration
- Testing for stationarity
- Cointegration and error-correction models
- Vector autoregression (VAR) models
- Vector error-correction (VEC) models
- Time-varying volatility: Autoregressive conditional heteroskedasticity (ARCH) models
Required readings
- Hill, Griffiths, and Lim, Chapters 12, 13, and 14.
13. Models for pooled and panel data
April 18 through 22
Topics
- Pooled and panel data
- Fixed-effects estimators
- Random-effects estimators
- Tests of appropriateness of models
Required readings
- Hill, Griffiths, and Lim, Chapter 15.
14. Limited dependent variables
April 25 through 29
Topics
- Nature of limited dependent variables
- Probit and logit models for binary dependent variables
- Multinomial logit model for multiple discrete choices
- Ordered dependent variables
- Models for count data
- Censored and truncated dependent variables: tobit and heckit models
Required reading
- Hill, Griffiths, and Lim, Chapter 16.
15. Advanced topics in econometrics
May 2 through 6
Topics chosen among
- Specification search and data mining
- Publication bias
- Monte Carlo and bootstrap methods
- Imputation methods for missing data
- Varying-parameter models
- Duration/hazard models
- Quantile regression
- Bayesian methods in econometrics
Readings
- Leamer, Edward E., "Let's Take the Con Out of Econometrics," American Economic Review, 73(1), March 1983, 31-43.
- Angrist, Joshua D., and Jörn-Steffen Pischke, "The Credibility Revolution in Empirical Economics: How Better Research Design is Taking the Con out of Econometrics," Journal of Economic Perspectives, 24(2), Spring 2010, 3-30.
- Leamer, Edward E., "Tantalus on the Road to Asymptopia," Journal of Economic Perspectives, 24(2), Spring 2010, 31-46.
- Hill, Griffiths, and Lim, Appendix 2G and Appendix 3C.
- Optional:
- Davidson and MacKinnon, Section 4.6: Simulation-Based Tests.
- Greene, Sections 17.1, 17.2, 17.4: Simulation-Based Inference.
Topics it would be nice to cover (but we don't have time)
- Lovell, Michael C., "Data Mining," Review of Economics and Statistics, 65(1), February 1983, 1-12.
- De Long, J. Bradford, and Kevin Lang, "Are All Economic Hypotheses False?" Journal of Political Economy 100(6), December 1992, 1257-72.
- Little, Roderick J. A., "Regression with Missing X's: A Review," Journal of the American Statistical Association 87(420), December 1992, 1227-37.
- Maddala, G. S., Econometrics, New York: McGraw-Hill, 1977, Chapter 17: Varying-Parameter Models.
- Greene, Section 25.6: Models for Duration Data.
- Koenker, Roger, and Kevin F. Hallock, "Quantile Regression," Journal of Economic Perspectives 15(4), Autumn 2001, 143-156.