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Using Multiple Outcomes to Improve the Synthetic Control Method

Sun, Liyang; Ben-Michael, Eli; Feller, Avi; (2025) Using Multiple Outcomes to Improve the Synthetic Control Method. Review of Economics and Statistics 10.1162/rest_a_01592. (In press). Green open access

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Abstract

When there are multiple outcome series of interest, Synthetic Control analyses typically proceed by estimating separate weights for each outcome. In this paper, we instead propose estimating a common set of weights across outcomes, by balancing either a vector of all outcomes or an index or average of them. Under a low-rank factor model, we show that these approaches lead to lower bias bounds than separate weights, and that averaging leads to further gains when the number of outcomes grows. We illustrate this via a re-analysis of the impact of the Flint water crisis on educational outcomes.

Type: Article
Title: Using Multiple Outcomes to Improve the Synthetic Control Method
Open access status: An open access version is available from UCL Discovery
DOI: 10.1162/rest_a_01592
Publisher version: https://doi.org/10.1162/rest_a_01592
Language: English
Additional information: © 2025 by the President and Fellows of Harvard College and the Massachusetts Institute of Technology. Published under a Creative Commons Attribution 4.0 International (CC BY 4.0) license.This is an open-access article distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. For a full description of the license, please visit https://creativecommons.org/licenses/by/4.0/legalcode
Keywords: panel data, synthetic control method, linear factor model C13, C21, C23
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL SLASH
UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of S&HS
UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of S&HS > Dept of Economics
URI: https://discovery.ucl.ac.uk/id/eprint/10205560
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