Non-Random Exposure to Exogenous Shocks: Theory and Application

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Abstract/Contents

Abstract
We develop new tools for estimating the causal effects of treatments or instruments that combine multiple sources of variation according to a known formula. Examples include treatments capturing spillovers in social and transportation networks, simulated instruments for policy eligibility, and shift-share instruments. We show how exogenous shocks to some, but not all, determinants of such variables can be leveraged while avoiding omitted variables bias. Our solution involves specifying counterfactual shocks that may as well have been realized and adjusting for a summary measure of non-randomness in shock exposure: the average treatment (or instrument) across such counterfactuals. We further show how to use shock counterfactuals for valid finite-sample inference, and characterize the valid instruments that are asymptotically efficient. We apply this framework to address bias when estimating employment effects of market access growth from Chinese high-speed rail construction, and to boost power when estimating coverage effects of expanded Medicaid eligibility.

Description

Type of resource text
Date created September 9, 2021

Creators/Contributors

Author Borusyak, Kirill
Author Hull, Peter
Organizer of meeting Diamond, Rebecca
Organizer of meeting van Dijk, Winnie
Organizer of meeting Schneider, Martin
Organizer of meeting Tsivanidis, Nick

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Subject economics
Genre Text
Genre Working paper
Genre Grey literature

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User agrees that, where applicable, content will not be used to identify or to otherwise infringe the privacy or confidentiality rights of individuals. Content distributed via the Stanford Digital Repository may be subject to additional license and use restrictions applied by the depositor.
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This work is licensed under a Creative Commons Attribution 4.0 International license (CC BY).

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Preferred citation
Borusyak, K. and Hull, P. (2022). Non-Random Exposure to Exogenous Shocks: Theory and Application. Stanford Digital Repository. Available at https://purl.stanford.edu/yd742pm1922

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