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Cosine metric as a structural economic similarity measure

Marina Telezhkina, Dominik Wied

arXiv 17 Sep 2026 · Econometrics

arXiv:2609.20424 · PDF · Extracted main text

Abstract

Structural similarity, the extent to which economic mechanisms respond alike to common shocks, matters for economic forecasting, policy transfer, and other decisions that rely on evidence from comparable settings. For mechanisms approximated by linear models, this idea has a simple geometric representation: The smaller the angle between their coefficient vectors, the more similarly they respond to the same shock. This paper introduces the cosine of this angle as a measure of structural similarity and develops the corresponding inference procedure. Applied to New Jersey's wage mechanism around the 1992 minimum-wage reform, the approach yields interesting evidence: Although the reform clearly affected the low-wage part of the wage distribution, the underlying mechanism linking worker characteristics to wages was no different from what would have prevailed without it.

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16
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27
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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
1Wied, Dominik (2026) A Synthetic Control Approach to Conditional Distributional Treatment Effects self0.69371100%
2Bonhomme, S. and Manresa, E (2015) Grouped Patterns of Heterogeneity in Panel Data0.51121100%
3Card, David and Krueger, Alan B (1994) Minimum Wages and Employment: A Case Study of the Fast-Food Industry in New Jersey and Pennsylvania0.51121100%
4Cengiz, Doruk and Dube, Arindrajit and Lindner, Attila and Zipperer,… (2019) The Effect of Minimum Wages on Low-Wage Jobs0.51121100%
5Dube, Arindrajit and Lester, T. William and Reich, Michael (2010) Minimum Wage Effects Across State Borders: Estimates Using Contiguous Counties0.51121100%
6Lemieux, Thomas (2006) The Mincer Equation Thirty Years After Schooling, Experience, and Earnings0.51121100%
7Andrews, Donald W. K (1987) Asymptotic Results for Generalized Wald Tests0.40511100%
8Becker, Gary S (1964) Human Capital: A Theoretical and Empirical Analysis, with Special Reference to Education0.40511100%
9Dufour, Jean-Marie and Renault, Eric and Zinde-Walsh, Victoria (2025) Wald Tests When Restrictions Are Locally Singular0.40511100%
10Fisher, Eric O'N. and Gilbert, John and Marshall, Kathryn G. and Ola… (2015) A New Measure of Economic Distance0.40511100%

Showing the top 10 of 16 scored citations.