Inference with "Difference in Differences" with a Small Number of Policy Changes
In difference-in-differences applications, identification of the key parameter often arises from changes in policy by a small number of groups. In contrast, typical inference assumes that the number of groups changing policy is large. We present an alternative inference approach for a small (finite) number of policy changers, using information from a large sample of nonchanging groups. Treatment effect point estimators are not consistent, but we can consistently estimate their asymptotic distribution under any point null hypothesis about the treatment. Thus, treatment point estimators can be used as test statistics, and confidence intervals can be constructed using test statistic inversion. © 2011 The President and Fellows of Harvard College and the Massachusetts Institute of Technology.
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Volume (Year): 93 (2011)
Issue (Month): 1 (February)
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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Joshua Angrist & Alan Krueger, 1998.
"Empirical Strategies in Labor Economics,"
98-7, Massachusetts Institute of Technology (MIT), Department of Economics.
- Newey, Whitney K. & McFadden, Daniel, 1986. "Large sample estimation and hypothesis testing," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 36, pages 2111-2245 Elsevier.
- Marianne Bertrand & Esther Duflo & Sendhil Mullainathan, 2002.
"How Much Should We Trust Differences-in-Differences Estimates?,"
NBER Working Papers
8841, National Bureau of Economic Research, Inc.
- Marianne Bertrand & Esther Duflo & Sendhil Mullainathan, 2004. "How Much Should We Trust Differences-In-Differences Estimates?," The Quarterly Journal of Economics, Oxford University Press, vol. 119(1), pages 249-275.
- David Card, 1989.
"The Impact of the Mariel Boatlift on the Miami Labor Market,"
NBER Working Papers
3069, National Bureau of Economic Research, Inc.
- David Card, 1990. "The Impact of the Mariel Boatlift on the Miami Labor Market," ILR Review, Cornell University, ILR School, vol. 43(2), pages 245-257, January.
- Matzkin, Rosa L., 1986. "Restrictions of economic theory in nonparametric methods," Handbook of Econometrics, in: R. F. Engle & D. McFadden (ed.), Handbook of Econometrics, edition 1, volume 4, chapter 42, pages 2523-2558 Elsevier.
- Dynarski, Susan, 2004.
"The New Merit Aid,"
Working Paper Series
rwp04-009, Harvard University, John F. Kennedy School of Government.
- Susan Athey & Guido Imbens, 2003.
"Identification and Inference in Nonlinear Difference-in-Differences Models,"
Levine's Working Paper Archive
506439000000000079, David K. Levine.
- Susan Athey & Guido W. Imbens, 2006. "Identification and Inference in Nonlinear Difference-in-Differences Models," Econometrica, Econometric Society, vol. 74(2), pages 431-497, 03.
- Susan Athey & Guido W. Imbens, 2002. "Identification and Inference in Nonlinear Difference-In-Differences Models," NBER Technical Working Papers 0280, National Bureau of Economic Research, Inc.
- Card, David & Krueger, Alan B, 1994.
"Minimum Wages and Employment: A Case Study of the Fast-Food Industry in New Jersey and Pennsylvania,"
American Economic Review,
American Economic Association, vol. 84(4), pages 772-93, September.
- David Card & Alan B. Krueger, 1993. "Minimum Wages and Employment: A Case Study of the Fast Food Industry in New Jersey and Pennsylvania," NBER Working Papers 4509, National Bureau of Economic Research, Inc.
- Anderson, Patricia M. & Meyer, Bruce D., 2000. "The effects of the unemployment insurance payroll tax on wages, employment, claims and denials," Journal of Public Economics, Elsevier, vol. 78(1-2), pages 81-106, October.
- Gary T. Henry & Ross Rubenstein, 2002. "Paying for grades: Impact of merit-based financial aid on educational quality," Journal of Policy Analysis and Management, John Wiley & Sons, Ltd., vol. 21(1), pages 93-109.
- Gallant, A Ronald & Nychka, Douglas W, 1987. "Semi-nonparametric Maximum Likelihood Estimation," Econometrica, Econometric Society, vol. 55(2), pages 363-90, March.
- Susan Dynarski, 2000.
"Hope for Whom? Financial Aid for the Middle Class and Its Impact on College Attendance,"
NBER Working Papers
7756, National Bureau of Economic Research, Inc.
- Dynarski, Susan, 2000. "Hope for Whom? Financial Aid for the Middle Class and Its Impact on College Attendance," National Tax Journal, National Tax Association, vol. 53(n. 3), pages 629-62, September.
- Christopher M. Cornwell & David B. Mustard & Deepa Sridhar, 2005. "The Enrollment Effects of Merit-Based Financial Aid: Evidence from Georgia's HOPE Scholarship," HEW 0501002, EconWPA.
- Meyer, Bruce D, 1995.
"Natural and Quasi-experiments in Economics,"
Journal of Business & Economic Statistics,
American Statistical Association, vol. 13(2), pages 151-61, April.
- Stephen G. Donald & Kevin Lang, 2007. "Inference with Difference-in-Differences and Other Panel Data," The Review of Economics and Statistics, MIT Press, vol. 89(2), pages 221-233, May.
- Moulton, Brent R, 1990. "An Illustration of a Pitfall in Estimating the Effects of Aggregate Variables on Micro Unit," The Review of Economics and Statistics, MIT Press, vol. 72(2), pages 334-38, May.
- Gary Chamberlain, 1980. "Analysis of Covariance with Qualitative Data," Review of Economic Studies, Oxford University Press, vol. 47(1), pages 225-238.
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