Dmitry Arkhangelsky, David Hirshberg
arXiv 22 Nov 2023 · Econometrics · 5 citations (OpenAlex)
arXiv:2311.13575 · PDF · DOI · OpenAlex · Extracted main text
We analyze the synthetic control (SC) method in panel data settings with many units. We assume the treatment assignment is based on unobserved heterogeneity and pre-treatment information, allowing for both strictly and sequentially exogenous assignment processes. We show that the critical property that determines the behavior of the SC method is the ability of input features to approximate the unobserved heterogeneity. Our results imply that the SC method delivers asymptotically normal estimators for a large class of linear panel data models as long as the number of pre-treatment periods is sufficiently large, making it a natural alternative to the Difference-in-Differences.
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The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.
| Reference | Intensity | Mentions | Sections | Main text | |
|---|---|---|---|---|---|
| 1 | Alberto Abadie, Alexis Diamond, and Jens Hainmueller (2010) Synthetic control methods for comparative case studies: Estimating the effect of California's tobacco control program | 1.000 | 7 | 3 | 100% |
| 2 | Dmitry Arkhangelsky, Susan Athey, David A Hirshberg, Guido W Imbens,… (2021) Synthetic difference-in-differences self | 0.928 | 4 | 4 | 100% |
| 3 | Brantly Callaway and Pedro HC Sant’Anna (2021) Difference-in-differences with multiple time periods | 0.874 | 5 | 2 | 100% |
| 4 | Manuel Arellano (2003) Panel data econometrics | 0.843 | 3 | 3 | 100% |
| 5 | Jushan Bai (2009) Panel data models with interactive fixed effects | 0.811 | 4 | 2 | 100% |
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| 8 | Hugo Freeman and Martin Weidner (2023) Linear panel regressions with two-way unobserved heterogeneity | 0.737 | 3 | 2 | 100% |
| 9 | Dalia Ghanem, Pedro HC Sant'Anna, and Kaspar Wüthrich (2022) Selection and parallel trends | 0.737 | 3 | 2 | 100% |
| 10 | Liyang Sun and Sarah Abraham (2021) Estimating dynamic treatment effects in event studies with heterogeneous treatment effects | 0.737 | 3 | 2 | 100% |
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