Journal Of The Econometric Society

An International Society for the Advancement of Economic
Theory in its Relation to Statistics and Mathematics

Edited by: Guido W. Imbens • Print ISSN: 0012-9682 • Online ISSN: 1468-0262

Econometrica: Sep, 2019, Volume 87, Issue 5

Fixed-Effect Regressions on Network Data
p. 1543-1560

Koen Jochmans, Martin Weidner

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 the sparse case. We provide numerical results for the estimation of teacher value‐added models and regressions with occupational dummies.

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Supplemental Material

Supplement to "Fixed-Effect Regressions on Network Data"

This zip file contains the replication files for the manuscript.

Supplement to "Fixed-Effect Regressions on Network Data"

This supplement contains additional illustrations and results as well as technical proofs of all theorems in Fixed-effect regression on network data.