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How Much Should We Trust Estimates of Firm Effects and Worker Sorting?

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  • Stéphane Bonhomme
  • Kerstin Holzheu
  • Thibaut Lamadon
  • Elena Manresa
  • Magne Mogstad
  • Bradley Setzler

Abstract

Many studies use matched employer-employee data to estimate a statistical model of earnings determination with worker and firm fixed effects. Estimates based on this model have produced influential yet controversial conclusions. 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 United States 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.

Suggested Citation

  • Stéphane Bonhomme & Kerstin Holzheu & Thibaut Lamadon & Elena Manresa & Magne Mogstad & Bradley Setzler, 2023. "How Much Should We Trust Estimates of Firm Effects and Worker Sorting?," Journal of Labor Economics, University of Chicago Press, vol. 41(2), pages 291-322.
  • Handle: RePEc:ucp:jlabec:doi:10.1086/720009
    DOI: 10.1086/720009
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    1. David Card & Jörg Heining & Patrick Kline, 2013. "Workplace Heterogeneity and the Rise of West German Wage Inequality," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 128(3), pages 967-1015.
    2. Gruetter, Max & Lalive, Rafael, 2009. "The importance of firms in wage determination," Labour Economics, Elsevier, vol. 16(2), pages 149-160, April.
    3. Susana Iranzo & Fabiano Schivardi & Elisa Tosetti, 2008. "Skill Dispersion and Firm Productivity: An Analysis with Employer-Employee Matched Data," Journal of Labor Economics, University of Chicago Press, vol. 26(2), pages 247-285, April.
    4. Rasmus Lentz & Jesper Bagger, 2009. "An Empirical Model of Wage Dispersion with Sorting," 2009 Meeting Papers 964, Society for Economic Dynamics.
    5. Jae Song & David J Price & Fatih Guvenen & Nicholas Bloom & Till von Wachter, 2019. "Firming Up Inequality," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 134(1), pages 1-50.
    6. Thibaut Lamadon & Magne Mogstad & Bradley Setzler, 2022. "Imperfect Competition, Compensating Differentials, and Rent Sharing in the US Labor Market," American Economic Review, American Economic Association, vol. 112(1), pages 169-212, January.
    7. Deborah Goldschmidt & Johannes F. Schmieder, 2017. "The Rise of Domestic Outsourcing and the Evolution of the German Wage Structure," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 132(3), pages 1165-1217.
    8. David Card & Ana Rute Cardoso & Patrick Kline, 2016. "Bargaining, Sorting, and the Gender Wage Gap: Quantifying the Impact of Firms on the Relative Pay of Women," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(2), pages 633-686.
    9. Thibaut Lamadon & Elena Manresa & Stephane Bonhomme, 2016. "Discretizing Unobserved Heterogeneity," 2016 Meeting Papers 1536, Society for Economic Dynamics.
    10. John M. Abowd & Francis Kramarz & David N. Margolis, 1999. "High Wage Workers and High Wage Firms," Econometrica, Econometric Society, vol. 67(2), pages 251-334, March.
    11. Gaure, Simen, 2014. "Practical Correlation Bias Correction in Two-way Fixed Effects Linear Regression," Memorandum 21/2014, Oslo University, Department of Economics.
    12. Koen Jochmans & Martin Weidner, 2019. "Fixed‐Effect Regressions on Network Data," Econometrica, Econometric Society, vol. 87(5), pages 1543-1560, September.
    13. David Card & Ana Rute Cardoso & Joerg Heining & Patrick Kline, 2018. "Firms and Labor Market Inequality: Evidence and Some Theory," Journal of Labor Economics, University of Chicago Press, vol. 36(S1), pages 13-70.
    14. John M. Abowd (corresponding) & Francis Kramarz, 2004. "Are Good Workers Employed by Good Firms? A Simple Test of Positive Assortative Matching Models," Econometric Society 2004 North American Winter Meetings 385, Econometric Society.
    15. Niklas Engbom & Christian Moser, 2022. "Earnings Inequality and the Minimum Wage: Evidence from Brazil," American Economic Review, American Economic Association, vol. 112(12), pages 3803-3847, December.
    16. Mendes, Rute & van den Berg, Gerard J. & Lindeboom, Maarten, 2010. "An empirical assessment of assortative matching in the labor market," Labour Economics, Elsevier, vol. 17(6), pages 919-929, December.
    17. Patrick Kline & Raffaele Saggio & Mikkel Sølvsten, 2020. "Leave‐Out Estimation of Variance Components," Econometrica, Econometric Society, vol. 88(5), pages 1859-1898, September.
    18. Stéphane Bonhomme & Martin Weidner, 2019. "Posterior average effects," CeMMAP working papers CWP43/19, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    19. Benjamin Friedrich & Costas Meghir & Lisa Laun & Luigi Pistaferri, 2018. "Earnings Dynamics and Firm-Level Shocks," 2018 Meeting Papers 536, Society for Economic Dynamics.
    20. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    21. Isaac Sorkin, 2018. "Ranking Firms Using Revealed Preference," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 133(3), pages 1331-1393.
    22. Katarína Borovičková & Robert Shimer, 2017. "High Wage Workers Work for High Wage Firms," NBER Working Papers 24074, National Bureau of Economic Research, Inc.
    23. Mary Amiti & David E. Weinstein, 2018. "How Much Do Idiosyncratic Bank Shocks Affect Investment? Evidence from Matched Bank-Firm Loan Data," Journal of Political Economy, University of Chicago Press, vol. 126(2), pages 525-587.
    24. Woodcock, Simon D., 2008. "Wage differentials in the presence of unobserved worker, firm, and match heterogeneity," Labour Economics, Elsevier, vol. 15(4), pages 771-793, August.
    25. M. J. Andrews & L. Gill & T. Schank & R. Upward, 2008. "High wage workers and low wage firms: negative assortative matching or limited mobility bias?," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 171(3), pages 673-697, June.
    26. Goux, Dominique & Maurin, Eric, 1999. "Persistence of Interindustry Wage Differentials: A Reexamination Using Matched Worker-Firm Panel Data," Journal of Labor Economics, University of Chicago Press, vol. 17(3), pages 492-533, July.
    27. Lachowska, Marta & Mas, Alexandre & Saggio, Raffaele & Woodbury, Stephen A., 2023. "Do firm effects drift? Evidence from Washington administrative data," Journal of Econometrics, Elsevier, vol. 233(2), pages 375-395.
    28. Rafael Lopes de Melo, 2018. "Firm Wage Differentials and Labor Market Sorting: Reconciling Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 126(1), pages 313-346.
    29. Jorge Alvarez & Felipe Benguria & Niklas Engbom & Christian Moser, 2018. "Firms and the Decline in Earnings Inequality in Brazil," American Economic Journal: Macroeconomics, American Economic Association, vol. 10(1), pages 149-189, January.
    30. Jesper Bagger & Rasmus Lentz, 2014. "An Empirical Model of Wage Dispersion with Sorting," Economics Working Papers 2014-11, Department of Economics and Business Economics, Aarhus University.
    31. John M. Abowd & Robert H. Creecy & Francis Kramarz, 2002. "Computing Person and Firm Effects Using Linked Longitudinal Employer-Employee Data," Longitudinal Employer-Household Dynamics Technical Papers 2002-06, Center for Economic Studies, U.S. Census Bureau.
    32. Jonah E. Rockoff, 2004. "The Impact of Individual Teachers on Student Achievement: Evidence from Panel Data," American Economic Review, American Economic Association, vol. 94(2), pages 247-252, May.
    33. Rasmus Lentz & Suphanit Piyapromdee & Jean-Marc Robin, 2018. "On Worker and Firm Heterogeneity in Wages and Employment Mobility: Evidence from Danish Register Data," PIER Discussion Papers 91, Puey Ungphakorn Institute for Economic Research.
    34. Jesper Bagger & Rasmus Lentz, 2019. "An Empirical Model of Wage Dispersion with Sorting," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(1), pages 153-190.
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    More about this item

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials
    • J62 - Labor and Demographic Economics - - Mobility, Unemployment, Vacancies, and Immigrant Workers - - - Job, Occupational and Intergenerational Mobility; Promotion

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