arXiv 16 Jun 2019 · Econometrics · publishedJournal of the American Statistical Association (2021) · 39 citations (OpenAlex)
arXiv:1906.06665 · PDF · DOI · OpenAlex · Extracted main text
We consider the asymptotic properties of the Synthetic Control (SC) estimator when both the number of pre-treatment periods and control units are large. If potential outcomes follow a linear factor model, we provide conditions under which the factor loadings of the SC unit converge in probability to the factor loadings of the treated unit. This happens when there are weights diluted among an increasing number of control units such that a weighted average of the factor loadings of the control units asymptotically reconstructs the factor loadings of the treated unit. In this case, the SC estimator is asymptotically unbiased even when treatment assignment is correlated with time-varying unobservables. This result can be valid even when the number of control units is larger than the number of pre-treatment periods.
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| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Abadie, A., Diamond, A., and Hainmueller, J (2010) Synthetic Control Methods for Comparative Case Studies: Estimating the Effect of California's Tobacco Control Program | 1.000 | 6 | 3 | 100% |
| 2 | Ferman, B. and Pinto, C (2019) Synthetic Controls with Imperfect Pre-Treatment Fit self | 0.965 | 10 | 5 | 90% |
| 3 | Doudchenko, N. and Imbens, G (2016) Balancing, regression, difference-in-differences and synthetic control methods: A synthesis | 0.928 | 4 | 3 | 100% |
| 4 | Arkhangelsky, D., Athey, S., Hirshberg, D. A., Imbens, G. W., and Wa… (2018) Synthetic Difference in Differences | 0.928 | 4 | 3 | 100% |
| 5 | Abadie, A., Diamond, A., and Hainmueller, J (2015) Comparative Politics and the Synthetic Control Method | 0.843 | 4 | 4 | 75% |
| 6 | Abadie, A. and Gardeazabal, J (2003) The Economic Costs of Conflict: A Case Study of the Basque Country | 0.737 | 3 | 3 | 67% |
| 7 | Chernozhukov, V., Wuthrich, K., and Zhu, Y (2019) An Exact and Robust Conformal Inference Method for Counterfactual and Synthetic Controls | 0.714 | 11 | 4 | 36% |
| 8 | Cattaneo, M. D., Jansson, M., and Newey, W. K (2018) Inference in linear regression models with many covariates and heteroscedasticity | 0.585 | 3 | 1 | 100% |
| 9 | Botosaru, I. and Ferman, B (2019) On the role of covariates in the synthetic control method self | 0.511 | 4 | 2 | 25% |
| 10 | Athey, S. and Imbens, G (2016) The State of Applied Econometrics-Causality and Policy Evaluation | 0.405 | 1 | 1 | 100% |
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