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Using Multiple Outcomes to Improve the Synthetic Control Method

Liyang Sun, Eli Ben-Michael and Avi Feller

Papers from arXiv.org

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.

Date: 2023-11, Revised 2025-02
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http://arxiv.org/pdf/2311.16260 Latest version (application/pdf)

Related works:
Working Paper: Using multiple outcomes to improve the synthetic control method (2023) Downloads
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