2017
DOI: 10.1920/wp.cem.2017.2617
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Fixed-effect regressions on network data

Abstract: This paper studies 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, which is a workhorse method in the analysis of matched data sets. Networks are typically quite sparse and it is difficult to see how the data carry information about certain parameters. We derive bounds on the variance of the fixed-effect estimator that uncover the importance of the structure of the network. These bounds depend on the sm… Show more

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Cited by 28 publications
(53 citation statements)
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References 38 publications
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“…The mobility patterns of workers define a graph across firm classes. A measure of connectedness of a graph is the smallest non-zero eigenvalue of its normalized Laplacian, as recently studied in Jochmans and Weidner (2017). 5 We observed that the local optima of the likelihood function tended to vary substantially in terms of their connectedness, some of the solutions having types with very low connectedness.…”
Section: S21 Estimation Of Parametersmentioning
confidence: 60%
See 1 more Smart Citation
“…The mobility patterns of workers define a graph across firm classes. A measure of connectedness of a graph is the smallest non-zero eigenvalue of its normalized Laplacian, as recently studied in Jochmans and Weidner (2017). 5 We observed that the local optima of the likelihood function tended to vary substantially in terms of their connectedness, some of the solutions having types with very low connectedness.…”
Section: S21 Estimation Of Parametersmentioning
confidence: 60%
“…In Supplementary Appendix S2 we describe how we use the EM algorithm to explore the likelihood function. We also explain how we use a measure of network connectedness recently studied in Jochmans and Weidner (2017) to select our preferred estimates. 27 On the left panel of Figure 2 we plot estimates of the means of log-earnings for each firm class and each worker type.…”
Section: Resultsmentioning
confidence: 99%
“…In addition, some local maxima have poor connectedness, in the sense that some worker types only move within a subset of firm classes, which results in unstable parameter estimates. We use the EM algorithm to explore the likelihood function, and use a measure of network connectedness recently studied in Jochmans and Weidner () to select our preferred estimates; see the Supplemental Material for details.…”
Section: Empirical Results I: Static Modelmentioning
confidence: 99%
“…The results in Figure 3 show that grouped-fixed-effects estimators have moderate bias for 32 all parameters except for the wage coefficient in utility ρ. 38 Using both bias reduction and an iteration improves the performance of the estimator of ρ substantially. Note that, when combined with half-panel jackknife, a single iteration seems sufficient to reduce bias.…”
Section: All Workersmentioning
confidence: 99%
“…This application illustrates the potential usefulness of discrete grouped fixed-effects estimators in the presence of continuous unobserved heterogeneity. Computation of two-step esti- 38 The estimated number of groups K is around 7 on average. 39 In the counterfactual we keep the probability of being a "stayer type" constant.…”
Section: All Workersmentioning
confidence: 99%