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Difference-in-Differences Estimation with Spatial Spillovers

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  • Kyle Butts

Abstract

Empirical work often uses treatment assigned following geographic boundaries. When the effects of treatment cross over borders, classical difference-in-differences estimation produces biased estimates for the average treatment effect. In this paper, I introduce a potential outcomes framework to model spillover effects and decompose the estimate's bias in two parts: (1) the control group no longer identifies the counterfactual trend because their outcomes are affected by treatment and (2) changes in treated units' outcomes reflect the effect of their own treatment status and the effect from the treatment status of 'close' units. I propose conditions for non-parametric identification that can remove both sources of bias and semi-parametrically estimate the spillover effects themselves including in settings with staggered treatment timing. To highlight the importance of spillover effects, I revisit analyses of three place-based interventions.

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  • Kyle Butts, 2021. "Difference-in-Differences Estimation with Spatial Spillovers," Papers 2105.03737, arXiv.org, revised Jun 2023.
    • Handle: RePEc:arx:papers:2105.03737
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    References listed on IDEAS

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    1. Emek Basker, 2005. "Job Creation or Destruction? Labor Market Effects of Wal-Mart Expansion," The Review of Economics and Statistics, MIT Press, vol. 87(1), pages 174-183, February.
    2. Clément de Chaisemartin & Xavier D'Haultfœuille, 2020. "Two-Way Fixed Effects Estimators with Heterogeneous Treatment Effects," American Economic Review, American Economic Association, vol. 110(9), pages 2964-2996, September.
    3. Sobel, Michael E., 2006. "What Do Randomized Studies of Housing Mobility Demonstrate?: Causal Inference in the Face of Interference," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 1398-1407, December.
    4. Delgado, Michael S. & Florax, Raymond J.G.M., 2015. "Difference-in-differences techniques for spatial data: Local autocorrelation and spatial interaction," Economics Letters, Elsevier, vol. 137(C), pages 123-126.
    5. Neumark, David & Young, Timothy, 2019. "Enterprise zones, poverty, and labor market outcomes: Resolving conflicting evidence," Regional Science and Urban Economics, Elsevier, vol. 78(C).
    6. Kitchens, Carl, 2014. "The Role of Publicly Provided Electricity in Economic Development: The Experience of the Tennessee Valley Authority, 1929–1955," The Journal of Economic History, Cambridge University Press, vol. 74(2), pages 389-419, June.
    7. Edward Miguel & Michael Kremer, 2004. "Worms: Identifying Impacts on Education and Health in the Presence of Treatment Externalities," Econometrica, Econometric Society, vol. 72(1), pages 159-217, January.
    8. Clarke, Damian, 2017. "Estimating Difference-in-Differences in the Presence of Spillovers," MPRA Paper 81604, University Library of Munich, Germany.
    9. Clarke, Damian, 2019. "A convenient omitted variable bias formula for treatment effect models," Economics Letters, Elsevier, vol. 174(C), pages 84-88.
    10. Sun, Liyang & Abraham, Sarah, 2021. "Estimating dynamic treatment effects in event studies with heterogeneous treatment effects," Journal of Econometrics, Elsevier, vol. 225(2), pages 175-199.
    11. Goodman-Bacon, Andrew, 2021. "Difference-in-differences with variation in treatment timing," Journal of Econometrics, Elsevier, vol. 225(2), pages 254-277.
    12. Baum-Snow, Nathaniel & Ferreira, Fernando, 2015. "Causal Inference in Urban and Regional Economics," Handbook of Regional and Urban Economics, in: Gilles Duranton & J. V. Henderson & William C. Strange (ed.), Handbook of Regional and Urban Economics, edition 1, volume 5, chapter 0, pages 3-68, Elsevier.
    13. Martha J. Bailey & Andrew Goodman-Bacon, 2015. "The War on Poverty's Experiment in Public Medicine: Community Health Centers and the Mortality of Older Americans," American Economic Review, American Economic Association, vol. 105(3), pages 1067-1104, March.
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