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Faculty of Economics

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Jochmans, K., and Weidner, M.

Fixed-Effect Regressions on Network Data

Econometrica, forthcoming

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.

Keywords: connectivity, fixed effects, graph, Laplacian, limited mobility, teacher value-added, two-way regression model

JEL Codes: C23, C55

Author links: Koen Jochmans  


Cambridge Working Paper in Economics Version of Paper: Fixed-Effect Regressions on Network Data, Jochmans, K. and Weidner, M., (2019)

Papers and Publications



Recent Publications


Jochmans, K., and Weidner, M. Fixed-Effect Regressions on Network Data Econometrica, forthcoming [2019]

Onatski, A. and Wang, C. Alternative Asymptotics for Cointegration Tests in Large VARs Econometrica [2018]

Faraglia, E., Marcet, A., Oikonomou, R. and Scott, A. Government Debt management: the Short and the Long of it Review of Economic Studies, accepted [2018]