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Fixed-Effect Regressions on Network Data

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  • Jochmans, K.
  • Weidner, M.

Abstract

This paper considers inference on fixed effects in a linear regression model estimated from network data. An important special case of our setup is the two-way regression model. This is a workhorse technique in the analysis of matched data sets, such as employer-employee or student-teacher panel data. We formalize how the structure of the network affects the accuracy with which the fixed effects can be estimated. This allows us to derive sufficient conditions on the network for consistent estimation and asymptotically-valid inference to be possible. Estimation of moments is also considered. We allow for general networks and our setup covers both the dense and sparse case. We provide numerical results for the estimation of teacher value-added models and regressions with occupational dummies.

Suggested Citation

  • Jochmans, K. & Weidner, M., 2019. "Fixed-Effect Regressions on Network Data," Cambridge Working Papers in Economics 1938, Faculty of Economics, University of Cambridge.
  • Handle: RePEc:cam:camdae:1938
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    Cited by:

    1. Philippe Choné & Lionel Wilner, 2015. "Complementarity or substitutability in networks? Methodology and application to the hospital industry," Working Papers 2015-07, Center for Research in Economics and Statistics.
    2. Katarína Borovičková & Robert Shimer, 2017. "High Wage Workers Work for High Wage Firms," NBER Working Papers 24074, National Bureau of Economic Research, Inc.
    3. Weidner, Martin & Zylkin, Thomas, 2021. "Bias and consistency in three-way gravity models," Journal of International Economics, Elsevier, vol. 132(C).
    4. Vanessa Alviarez & Keith Head & Thierry Mayer, 2020. "Global giants and local stars: How changes in brand ownership affect competition," SciencePo Working papers hal-03389199, HAL.
    5. Vanessa Alviarez & Keith Head & Thierry Mayer, 2020. "Global giants and local stars: How changes in brand ownership affect competition," Sciences Po Economics Discussion Papers 2020-04, Sciences Po Departement of Economics.
    6. Thibaut Lamadon & Elena Manresa & Stephane Bonhomme, 2016. "Discretizing Unobserved Heterogeneity," 2016 Meeting Papers 1536, Society for Economic Dynamics.
    7. Junhui Cai & Dan Yang & Wu Zhu & Haipeng Shen & Linda Zhao, 2021. "Network regression and supervised centrality estimation," Papers 2111.12921, arXiv.org.
    8. Patrick Kline & Raffaele Saggio & Mikkel Sølvsten, 2020. "Leave‐Out Estimation of Variance Components," Econometrica, Econometric Society, vol. 88(5), pages 1859-1898, September.
    9. Stéphane Bonhomme & Kerstin Holzheu & Thibaut Lamadon & Elena Manresa & Magne Mogstad & Bradley Setzler, 2020. "How Much Should we Trust Estimates of Firm Effects and Worker Sorting?," NBER Working Papers 27368, National Bureau of Economic Research, Inc.
    10. Arthur Lewbel & Samuel Norris & Krishna Pendakur & Xi Qu, 2022. "Consumption peer effects and utility needs in India," Quantitative Economics, Econometric Society, vol. 13(3), pages 1257-1295, July.
    11. Kramarz, Francis & Martin, Julien & Mejean, Isabelle, 2020. "Volatility in the small and in the large: The lack of diversification in international trade," Journal of International Economics, Elsevier, vol. 122(C).
    12. Jochmans, K., 2019. "Heteroskedasticity-Robust Inference in Linear Regression Models," Cambridge Working Papers in Economics 1957, Faculty of Economics, University of Cambridge.
    13. Philippe Choné & Lionel Wilner, 2022. "Financial Incentives and Competitive Pressure: The Case of the Hospital Industry [“High Wage Workers and High Wage Firms]," Journal of the European Economic Association, European Economic Association, vol. 20(2), pages 626-666.
    14. Halvarsson, Daniel & Lark, Olga & Gustavsson Tingvall, Patrik, 2022. "Foreign Ownership and Transferring of Gender Norms," Working Paper Series 1433, Research Institute of Industrial Economics.
    15. Halvarsson, Daniel & Lark, Olga & Gustavsson Tingvall, Patrik, 2022. "Foreign Ownership and Transferring of Gender Norms," Working Papers 2022:6, Lund University, Department of Economics.
    16. Esteves, Rui & Geisler Mesevage, Gabriel, 2019. "Social Networks in Economic History: Opportunities and Challenges," Explorations in Economic History, Elsevier, vol. 74(C).
    17. Michael P. Leung, 2021. "Network Cluster-Robust Inference," Papers 2103.01470, arXiv.org, revised Apr 2022.

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    More about this item

    Keywords

    connectivity; fixed effects; graph; Laplacian; limited mobility; teacher value-added; two-way regression model;
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C55 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Large Data Sets: Modeling and Analysis

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