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Grouped Patterns of Heterogeneity in Panel Data

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Abstract

This paper introduces time-varying grouped patterns of heterogeneity in linear panel data models. A distinctive feature of our approach is that group membership is left unspecified. We estimate the model’s parameters using a “grouped fixed-effects” estimator that minimizes a least-squares criterion with respect to all possible groupings of the cross-sectional units. We rely on recent advances in the clustering literature for fast and efficient computation. Our estimator is higher-order unbiased as both dimensions of the panel tend to infinity, under conditions that we characterize. As a result, inference is not affected by the fact that group membership is estimated. We apply our approach to study the link between income and democracy across countries, while allowing for grouped patterns of unobserved heterogeneity. The results shed new light on the evolution of political and economic outcomes of countries.

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  • Stéphane Bonhomme & Elena Manresa, 2012. "Grouped Patterns of Heterogeneity in Panel Data," Working Papers wp2012_1208, CEMFI.
  • Handle: RePEc:cmf:wpaper:wp2012_1208
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    References listed on IDEAS

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    5. Markus Brückner & Antonio Ciccone, 2011. "Rain and the Democratic Window of Opportunity," Econometrica, Econometric Society, vol. 79(3), pages 923-947, May.
    6. Manuel Arellano & Stéphane Bonhomme, 2012. "Identifying Distributional Characteristics in Random Coefficients Panel Data Models," Review of Economic Studies, Oxford University Press, vol. 79(3), pages 987-1020.
    7. Hahn, Jinyong & Moon, Hyungsik Roger, 2010. "Panel Data Models With Finite Number Of Multiple Equilibria," Econometric Theory, Cambridge University Press, vol. 26(03), pages 863-881, June.
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    Cited by:

    1. Anders Bredahl Kock & Haihan Tang, 2014. "Inference in High-dimensional Dynamic Panel Data Models," CREATES Research Papers 2014-58, Department of Economics and Business Economics, Aarhus University.
    2. Carter Patrick, 2013. "Does Foreign Aid Displace Domestic Taxation?," Journal of Globalization and Development, De Gruyter, vol. 4(1), pages 1-47, August.
    3. Bartolucci, Francesco & Belotti, Federico & Peracchi, Franco, 2015. "Testing for time-invariant unobserved heterogeneity in generalized linear models for panel data," Journal of Econometrics, Elsevier, vol. 184(1), pages 111-123.

    More about this item

    Keywords

    Discrete heterogeneity; panel data; fixed effects; democracy.;

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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