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Synthetic Control Methods for Proportions

Author

Listed:
  • Bogatyrev, Konstantin

    (Bocconi University)

  • Stoetzer, Lukas

Abstract

Synthetic control methods are extensively utilized in political science for estimating counterfactual outcomes in case studies and difference-in-differences settings, often applied to model counterfactual proportional data. However, the conventional synthetic control methods are designed for univariate outcomes, leading researchers to model counterfactuals for each proportion separately. This paper introduces an extension, proposing a method to simultaneously handle multivariate proportional outcomes. Our approach establishes constant control comparisons by using the same weights for each proportion, improving comparability while adhering to treatment constraints. Results from a simulation study and the application of our method to data from a recently published article on campaign effects in the 2019 Spanish general election underscore the benefits of accounting for the interplay of proportional outcomes. This advancement extends the validity and reliability of synthetic control estimates to common outcomes in political science.

Suggested Citation

  • Bogatyrev, Konstantin & Stoetzer, Lukas, 2024. "Synthetic Control Methods for Proportions," OSF Preprints brhd3, Center for Open Science.
  • Handle: RePEc:osf:osfxxx:brhd3
    DOI: 10.31219/osf.io/brhd3
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    References listed on IDEAS

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    1. Jackson, John E., 2002. "A Seemingly Unrelated Regression Model for Analyzing Multiparty Elections," Political Analysis, Cambridge University Press, vol. 10(1), pages 49-65, January.
    2. Timoneda, Joan C. & Escribà-Folch, Abel & Chin, John, 2023. "The Rush to Personalize: Power Concentration after Failed Coups in Dictatorships," British Journal of Political Science, Cambridge University Press, vol. 53(3), pages 878-901, July.
    3. Susan Athey & Mohsen Bayati & Nikolay Doudchenko & Guido Imbens & Khashayar Khosravi, 2021. "Matrix Completion Methods for Causal Panel Data Models," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 116(536), pages 1716-1730, October.
    4. Katz, Jonathan N. & King, Gary, 1999. "A Statistical Model for Multiparty Electoral Data," American Political Science Review, Cambridge University Press, vol. 93(1), pages 15-32, March.
    5. Michael W. Robbins & Jessica Saunders & Beau Kilmer, 2017. "A Framework for Synthetic Control Methods With High-Dimensional, Micro-Level Data: Evaluating a Neighborhood-Specific Crime Intervention," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 112(517), pages 109-126, January.
    6. Albert Chiu & Xingchen Lan & Ziyi Liu & Yiqing Xu, 2023. "Causal Panel Analysis under Parallel Trends: Lessons from a Large Reanalysis Study," Papers 2309.15983, arXiv.org, revised Jan 2026.
    7. Xu, Yiqing, 2017. "Generalized Synthetic Control Method: Causal Inference with Interactive Fixed Effects Models," Political Analysis, Cambridge University Press, vol. 25(1), pages 57-76, January.
    8. Paolo Pinotti, 2015. "The Economic Costs of Organised Crime: Evidence from Southern Italy," Economic Journal, Royal Economic Society, vol. 125(586), pages 203-232, August.
    9. Tomz, Michael & Tucker, Joshua A. & Wittenberg, Jason, 2002. "An Easy and Accurate Regression Model for Multiparty Electoral Data," Political Analysis, Cambridge University Press, vol. 10(1), pages 66-83, January.
    10. Alberto Abadie & Jérémy L’Hour, 2021. "A Penalized Synthetic Control Estimator for Disaggregated Data," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 116(536), pages 1817-1834, October.
    11. Kosuke Imai & In Song Kim, 2019. "When Should We Use Unit Fixed Effects Regression Models for Causal Inference with Longitudinal Data?," American Journal of Political Science, John Wiley & Sons, vol. 63(2), pages 467-490, April.
    12. Maxwell Kellogg & Magne Mogstad & Guillaume A. Pouliot & Alexander Torgovitsky, 2021. "Combining Matching and Synthetic Control to Tradeoff Biases From Extrapolation and Interpolation," Journal of the American Statistical Association, Taylor & Francis Journals, vol. 116(536), pages 1804-1816, October.
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