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Group-Heterogeneous Changes-in-Changes and Distributional Synthetic Controls

Songnian Chen, Junlong Feng

arXiv 28 Jul 2023 · Econometrics

arXiv:2307.15313 · PDF · DOI · OpenAlex · Extracted main text

Abstract

We develop new methods for changes-in-changes and distributional synthetic controls when there exists group level heterogeneity. For changes-in-changes, we allow individuals to belong to a large number of heterogeneous groups. The new method extends the changes-in-changes method in Athey and Imbens (2006) by finding appropriate subgroups within the control groups which share similar group level unobserved characteristics to the treatment groups. For distributional synthetic control, we show that the appropriate synthetic control needs to be constructed using units in potentially different time periods in which they have comparable group level heterogeneity to the treatment group, instead of units that are only in the same time period as in Gunsilius (2023). Implementation and data requirements for these new methods are briefly discussed.

Citation extraction

20
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Most heavily cited references

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.

ReferenceIntensityMentionsSectionsMain text
1Athey, S. and G. W. Imbens (2006) Identification and inference in nonlinear difference-in-differences models1.000113100%
2Gunsilius, F. F (2023) Distributional synthetic controls0.98320495%
3Arkhangelsky, D., S. Athey, D. A. Hirshberg, G. W. Imbens, and S. Wa… (2021) Synthetic difference-in-differences0.73732100%
4Abadie, A (2021) Using synthetic controls: Feasibility, data requirements, and methodological aspects0.64441100%
5Abadie, A., A. Diamond, and J. Hainmueller (2010) Synthetic control methods for comparative case studies: Estimating the effect of california’s tobacco control program0.58531100%
6Abadie, A. and J. Gardeazabal (2003) The economic costs of conflict: A case study of the basque country0.40511100%
7Abadie, A., A. Diamond, and J. Hainmueller (2015) Comparative politics and the synthetic control method0.40511100%
8Angrist, J. D. and K. Lang (2004) Does school integration generate peer effects? evidence from boston's metco program0.40511100%
9Arkhangelsky, D. and G. Imbens (2024) Causal models for longitudinal and panel data: A survey0.40511100%
10Athey, S., M. Bayati, N. Doudchenko, G. Imbens, and K. Khosravi (2021) Matrix completion methods for causal panel data models0.40511100%

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Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Difference-in-Differences Meets Synthetic Control: Doubly Robust Identification and Estimation0.51121
2IV regression with distribution-valued outcomes0.40511
3A Synthetic Control Approach to Conditional Distributional Treatment Effects0.40511