Scandinavian Working Papers in Economics

Working Paper Series,
IFAU - Institute for Evaluation of Labour Market and Education Policy

No 2021:20: How much should we trust estimates of firm effcts and worker sorting?

Stéphane Bonhomme (), Kerstin Holzheu (), Thibaut Lamadon (), Elena Manresa (), Magne Mogstad and Bradley Setzler ()
Additional contact information
Stéphane Bonhomme: University of Chicago, Postal: University of Chicago
Kerstin Holzheu: Sciences Po
Thibaut Lamadon: University of Chicago, Postal: University of Chicago
Elena Manresa: New York University, Postal: New York University
Magne Mogstad: IFAU - Institute for Evaluation of Labour Market and Education Policy, Postal: Institute for Evaluation of Labour Market and Education Policy, P O Box 513, SE-751 20 Uppsala, Sweden
Bradley Setzler: University of Chicago, Postal: University of Chicago

Abstract: Many studies use matched employer-employee data to estimate a statistical model of earnings determination where log-earnings are expressed as the sum of worker effects, firm effects, covariates, and idiosyncratic error terms. Estimates based on this model have produced two influential yet controversial conclusions. First, firm effects typically explain around 20% of the variance of log-earnings, pointing to the importance of firm-specific wage-setting for earnings inequality. Second, the correlation between firm and worker effects is often small and sometimes negative, indicating little if any sorting of high-wage workers to high-paying firms. The objective of this paper is to assess the sensitivity of these conclusions to the biases that arise because of limited mobility of workers across firms. We use employer-employee data from the US and several European countries while taking advantage of both fixed-effects and random-effects methods for bias-correction. We find that limited mobility bias is severe and that bias-correction is important. Once one corrects for limited mobility bias, firm effects dispersion matters less for earnings inequality and worker sorting becomes always positive and typically strong.

Keywords: earnings inequality; firm effects; worker sorting; bias correction; fixed effects; random effects; matched employer employee data

JEL-codes: C23; J31; J62

Language: English

77 pages, December 17, 2021

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