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Overidentification in Shift-Share Designs

Jinyong Hahn, Guido Kuersteiner, Andres Santos, Wavid Willigrod

arXiv 25 Apr 2024 · Econometrics

arXiv:2404.17049 · PDF · DOI · OpenAlex · Extracted main text

Abstract

This paper studies the testability of identifying restrictions commonly employed to assign a causal interpretation to two stage least squares (TSLS) estimators based on Bartik instruments. For homogeneous effects models applied to short panels, our analysis yields testable implications previously noted in the literature for the two major available identification strategies. We propose overidentification tests for these restrictions that remain valid in high dimensional regimes and are robust to heteroskedasticity and clustering. We further show that homogeneous effect models in short panels, and their corresponding overidentification tests, are of central importance by establishing that: (i) In heterogenous effects models, interpreting TSLS as a positively weighted average of treatment effects can impose implausible assumptions on the distribution of the data; and (ii) Alternative identifying strategies relying on long panels can prove uninformative in short panel applications. We highlight the empirical relevance of our results by examining the viability of Bartik instruments for identifying the effect of rising Chinese import competition on US local labor markets.

Citation extraction

32
references
201
in-text mentions
32
distinct cited
4
self-citations
41,371
main-text words

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Adao, R., Kolesár, M. and Morales, E (2019) Shift-share designs: Theory and inference1.000499100%
2Autor, D. H., Dorn, D. and Hanson, G. H (2013) The china syndrome: Local labor market effects of import competition in the united states1.000344100%
3Goldsmith-Pinkham, P., Sorkin, I. and Swift, H (2020) Bartik instruments: What, when, why, and how1.000257100%
4Borusyak, K., Hull, P. and Jaravel, X (2022) Quasi-experimental shift-share research designs1.000227100%
5Chernozhuokov, V., Chetverikov, D., Kato, K. and Koike, Y (2022) Improved central limit theorem and bootstrap approximations in high dimensions1.00073100%
6Hahn, J., Kuersteiner, G. and Mazzocco, M (2019) Estimation with Aggregate Shocks self0.87452100%
7Blandhol, C., Bonney, J., Mogstad, M. and Torgovitsky, A (2022) When is tsls actually late?0.73732100%
8van der Vaart, A. W. and Wellner, J. A (1996) Weak Convergence and Empirical Processes: with Applications to Statistics0.73732100%
9Chernozhukov, V., Chetverikov, D. and Kato, K (2019) Inference on causal and structural parameters using many moment inequalities0.69371100%
10Eagleson, G. K (1975) Martingale convergence to mixtures of infinitely divisible laws0.69371100%

Showing the top 10 of 32 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Nonlinear Treatment Effects in Shift-Share Designs1.000114
2Shift-Share Designs in Political Science0.94163
3On Local Overidentification and Efficiency Gains in Modern Causal Inference and Data Combination0.40511
4Representativeness and Efficiency in Overidentified IV0.40511