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Quasi-Experimental Shift-Share Research Designs

Sampling-based vs. Design-based Uncertainty in Regression Analysis

Kirill Borusyak (), Peter Hull () and Xavier Jaravel

Review of Economic Studies, 2022, vol. 89, issue 1, 181-213

Abstract: Many studies use shift-share (or “Bartik”) instruments, which average a set of shocks with exposure share weights. We provide a new econometric framework for shift-share instrumental variable (SSIV) regressions in which identification follows from the quasi-random assignment of shocks, while exposure shares are allowed to be endogenous. The framework is motivated by an equivalence result: the orthogonality between a shift-share instrument and an unobserved residual can be represented as the orthogonality between the underlying shocks and a shock-level unobservable. SSIV regression coefficients can similarly be obtained from an equivalent shock-level regression, motivating shock-level conditions for their consistency. We discuss and illustrate several practical insights of this framework in the setting of Autor et al. (2013), estimating the effect of Chinese import competition on manufacturing employment across U.S. commuting zones.

Keywords: Shift-share instruments; Bartik instruments; Quasi-experiments; Instrumental variables; C18; C21; C26; F16; J21 (search for similar items in EconPapers)
Date: 2022
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Related works:
Working Paper: Quasi-Experimental Shift-Share Research Designs (2020) Downloads
Working Paper: Quasi-Experimental Shift-Share Research Designs (2020) Downloads
Working Paper: Quasi-Experimental Shift-Share Research Designs (2018) Downloads
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