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A simple and computationally trivial estimator for grouped fixed effects models

Martin Mugnier

Journal of Econometrics, 2025, vol. 250, issue C

Abstract: This paper introduces a new fixed effects estimator for linear panel data models with clustered time patterns of unobserved heterogeneity. The method avoids non-convex and combinatorial optimization by combining a preliminary consistent estimator of the slope coefficient, an agglomerative pairwise-differencing clustering of cross-sectional units, and a pooled ordinary least squares regression. Asymptotic guarantees are established in a framework where T can grow at any power of N, as both N and T approach infinity. Unlike most existing approaches, the proposed estimator is computationally straightforward and does not require a known upper bound on the number of groups. As existing approaches, this method leads to a consistent estimation of well-separated groups and an estimator of common parameters asymptotically equivalent to the infeasible regression controlling for the true groups. An application revisits the statistical association between income and democracy.

Keywords: Panel data; Time-varying unobserved heterogeneity; Grouped fixed effects; Agglomerative clustering (search for similar items in EconPapers)
JEL-codes: C14 C23 C38 (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:econom:v:250:y:2025:i:c:s030440762500065x

DOI: 10.1016/j.jeconom.2025.106011

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