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Columbia University Department of Economics Economics G6412 Introduction to Econometrics II Spring 2004 Professor Alexei Onatski IAB 1007 854-3685; [email protected] Office Hours: Friday 12-1 p.m. and by appt TA: Claudia Canals-Perez, [email protected] Recitations: Wednesday 2-3:30 p.m., IAB 411 OH: TBA Course Description Economics G6412 is a second course of econometrics at the graduate level. The first half of the course is devoted to the linear regression model and least squares. Both large and small sample properties are studied. Our discussion in the first half of the course leads us to more advanced topics in the second half, including robust standard errors estimation, panel data, instrumental variables, and limited dependent variables. Each of these topics will be considered from both a theoretical and empirical viewpoint. The goal is for each of these viewpoints to shed light on the other, so that by the end of the semester we will be well on our way to competently practicing econometrics. Lectures and recitations Class will meet twice a week for one and a half hour lectures and once a week for recitations. Recitations will be conducted by TA. Textbooks and readings The two required textbooks for the course are A Course in Econometrics, Arthur S. Goldberger, 1991, Harvard University Press, and Econometric Analysis, William H. Greene, 2003, Prentice Hall. The applied papers are meant to serve as tools for motivation and further understanding of the material. Additional supplementary references will be provided during the semester. Problem Sets Econometrics is learned through practice and solving problems. Thus the problems sets are an integral part of the course. Much of the emphasis on applications comes through the problem sets. STATA is the required statistical software package. Grading Grades will be based on the four problem sets (5% each for a total of 20%), a midterm exam (30%), and a final (50%). Prerequisites An understanding of the probability and statistics concepts at the level of Introduction to Econometrics I course is assumed. Familiarity with matrix algebra will also be necessary. COURSE OUTLINE Review: Concept of Regression, Matrix Algebra and Statistics Greene Appendix A,B,C Galton F. (1886) “Regression Towards Mediocrity in Hereditary Stature”, Journal of the Anthropological Institute of Great Britain and Ireland, Vol. 15, pp. 246-263. Ordinary Least Squares Small Sample: Goldberger Chapters 1, 4, 5, 7, 11.1-11.3, 12, 13.5, 14, 15, 16, 17.1-17.3, 19.119.4, 20, 21, 22.4-22.5, 23, 25.1-25.4 Greene Chapters 3, 4 Large Sample: Goldberger Chapters 9, 11.4-11.5, 13.1-13.2, 24, 25.5 Greene Chapters 5.2 Rose, N. (1987) “ Labor rent Sharing and Regulation,” Journal of Political Economy 95 (6), 1146-1178. Generalized Least Squares Goldberger Chapters 27, 28 Greene Chapters 10.1-10.4, 11, 12 Panel Data Greene Chapter 13 Card, D. and A. Krueger (1994) “Minimum Wages and Employment: A Case Study of the Fast Food Industry in New Jersey and Pennsylvania,” American Economic Review 84 (4), 772-793. Schaller,. H. (1990) “ A Re-examination of the Q Theory of Investment Using U.S. Firm Data,” Journal of Applied Econometrics 5 (4), 309-325. Instrumental Variables Greene Chapters 5.4, 5.5, 15.5 Holland, P.W. (1986), “Statistics and Causal Inference,” Journal of the American Statistical Association 81 (396), 945-970. Pischke, J.S. (1995) “Measurement Error and Earnings Dynamics: Some Estimates from the PSID Validation Study,” Journal of Business and Economic Statistics 13 (3), 305-314. Levitt, S.D. (1997) “Using Electoral Cycles in Police Hiring to Estimate the Effect of Police on Crime,” American Economic review 87 (3), 270-290. GMM Greene Chapters 10.4, 18 Hansen, L.P. and K. J. Singleton (1982) “Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models”, Econometrica, Vol. 50, No. 5, pp. 1269-1286. Limited Dependent Variables Greene Chapters 21.1-21.7, 22.1-22.4 Bliss C. I. (1934) “The Method of Probits”, Science, Vol. 79, No 2037, pp. 38-39. Hausman J., A. Lo, and A. MacKinlay (1992) “An Ordered Probit Analysis of Transactions Stock Prices,” Journal of Financial Economics 31 (3), 319-379. Tobin, J. (1958) “Estimation of Relationships for Limited Dependent Variables,” Econometrica 26, 24-36.