[go: up one dir, main page]

IDEAS home Printed from https://ideas.repec.org/a/eee/labeco/v54y2018icp47-60.html
   My bibliography  Save this article

The sources of wage variation and the direction of assortative matching: Evidence from a three-way high-dimensional fixed effects regression model

Author

Listed:
  • Torres, Sónia
  • Portugal, Pedro
  • Addison, John T.
  • Guimarães, Paulo
Abstract
This paper estimates a wage equation with three high-dimensional fixed effects, using a longitudinal matched employer-employee dataset covering virtually all Portuguese private sector wage earners over a 26-year interval. First, the variation in log real hourly wages is decomposed into three components reflecting worker, firm, and job title characteristics and a residual element. It is found that worker permanent heterogeneity is the most important source of wage variation accounting for one third of the wage variance, while firm permanent effects contribute one fourth. Job title fixed effects still explain a considerable one fifth of wage variance. Second, having established that high-wage workers tend to match with high-paying firms, worker fixed effects from the wage equation are next correlated with firm fixed effects from sales and value-added production equations to provide unambiguous evidence on the sign and strength of assortative matching. The correlations are positive and large, indicating that higher productivity workers tend to match with higher productivity firms.

Suggested Citation

  • Torres, Sónia & Portugal, Pedro & Addison, John T. & Guimarães, Paulo, 2018. "The sources of wage variation and the direction of assortative matching: Evidence from a three-way high-dimensional fixed effects regression model," Labour Economics, Elsevier, vol. 54(C), pages 47-60.
  • Handle: RePEc:eee:labeco:v:54:y:2018:i:c:p:47-60
    DOI: 10.1016/j.labeco.2018.06.004
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0927537117300489
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.labeco.2018.06.004?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Hildreth, Andrew K G & Oswald, Andrew J, 1997. "Rent-Sharing and Wages: Evidence from Company and Establishment Panels," Journal of Labor Economics, University of Chicago Press, vol. 15(2), pages 318-337, April.
    2. 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.
    3. Pierre Cahuc & Fabien Postel-Vinay & Jean-Marc Robin, 2006. "Wage Bargaining with On-the-Job Search: Theory and Evidence," Econometrica, Econometric Society, vol. 74(2), pages 323-364, March.
    4. Andrews, M.J. & Gill, L. & Schank, T. & Upward, R., 2012. "High wage workers match with high wage firms: Clear evidence of the effects of limited mobility bias," Economics Letters, Elsevier, vol. 117(3), pages 824-827.
    5. John C. Haltiwanger & Henry R. Hyatt & Lisa B. Kahn & Erika McEntarfer, 2018. "Cyclical Job Ladders by Firm Size and Firm Wage," American Economic Journal: Macroeconomics, American Economic Association, vol. 10(2), pages 52-85, April.
    6. Gruetter, Max & Lalive, Rafael, 2009. "The importance of firms in wage determination," Labour Economics, Elsevier, vol. 16(2), pages 149-160, April.
    7. Carneiro, Anabela & Portugal, Pedro & Varejão, José, 2014. "Catastrophic job Destruction during the Portuguese Economic Crisis," Journal of Macroeconomics, Elsevier, vol. 39(PB), pages 444-457.
    8. Kremer, M & Maskin, E, 1996. "Wage Inequality and Segregation by Skill," Working papers 96-23, Massachusetts Institute of Technology (MIT), Department of Economics.
    9. Paulo Guimarães & Pedro Portugal, 2010. "A simple feasible procedure to fit models with high-dimensional fixed effects," Stata Journal, StataCorp LP, vol. 10(4), pages 628-649, December.
    10. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "The Distribution of Earnings in an Equilibrium Search Model with State-Dependent Offers and Counteroffers," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 43(4), pages 989-1016, November.
    11. Marcus Hagedorn & Tzuo Hann Law & Iourii Manovskii, 2017. "Identifying Equilibrium Models of Labor Market Sorting," Econometrica, Econometric Society, vol. 85, pages 29-65, January.
    12. 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.
    13. Nicole Guertzgen, 2009. "Rent‐sharing and Collective Bargaining Coverage: Evidence from Linked Employer–Employee Data," Scandinavian Journal of Economics, Wiley Blackwell, vol. 111(2), pages 323-349, June.
    14. Jan Eeckhout & Philipp Kircher, 2011. "Identifying Sorting--In Theory," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(3), pages 872-906.
    15. 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.
    16. Serguey Braguinsky & Lee G. Branstetter & Andre Regateiro, 2011. "The Incredible Shrinking Portuguese Firm," NBER Working Papers 17265, National Bureau of Economic Research, Inc.
    17. 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.
    18. 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.
    19. 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.
    20. Jean-Marc Robin & Sébastien Roux, 2002. "An Equilibrium Model of the Labor Market with Endogenous Capital and Two-Sided Search," Annals of Economics and Statistics, GENES, issue 67-68, pages 257-307.
    21. repec:hal:spmain:info:hdl:2441/dc0ckec3fcb29ms9850c12h1p is not listed on IDEAS
    22. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    23. Katarína Borovičková & Robert Shimer, 2017. "High Wage Workers Work for High Wage Firms," NBER Working Papers 24074, National Bureau of Economic Research, Inc.
    24. Mortensen, Dale T, 1982. "Property Rights and Efficiency in Mating, Racing, and Related Games," American Economic Review, American Economic Association, vol. 72(5), pages 968-979, December.
    25. Bagger, Jesper & Sørensen, Kenneth L. & Vejlin, Rune, 2013. "Wage sorting trends," Economics Letters, Elsevier, vol. 118(1), pages 63-67.
    26. 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.
    27. Mahmood Arai, 2003. "Wages, Profits, and Capital Intensity: Evidence from Matched Worker-Firm Data," Journal of Labor Economics, University of Chicago Press, vol. 21(3), pages 593-618, July.
    28. Félix, Sónia & Portugal, Pedro, 2016. "Labor Market Imperfections and the Firm's Wage Setting Policy," IZA Discussion Papers 10241, Institute of Labor Economics (IZA).
    29. Robert Shimer, 2005. "The Assignment of Workers to Jobs in an Economy with Coordination Frictions," Journal of Political Economy, University of Chicago Press, vol. 113(5), pages 996-1025, October.
    30. 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.
    31. John T. Addison & Pedro Portugal & Hugo Vilares, 2017. "Unions and Collective Bargaining in the Wake of the Great Recession: Evidence from Portugal," British Journal of Industrial Relations, London School of Economics, vol. 55(3), pages 551-576, September.
    32. 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.
    33. Sattinger, Michael, 1993. "Assignment Models of the Distribution of Earnings," Journal of Economic Literature, American Economic Association, vol. 31(2), pages 831-880, June.
    34. Woodcock Simon D, 2010. "Heterogeneity and Learning in Labor Markets," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 10(1), pages 1-69, September.
    35. Diamond, Peter A, 1982. "Aggregate Demand Management in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 90(5), pages 881-894, October.
    36. Peter A. Diamond, 1982. "Wage Determination and Efficiency in Search Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(2), pages 217-227.
    37. Becker, Gary S, 1973. "A Theory of Marriage: Part I," Journal of Political Economy, University of Chicago Press, vol. 81(4), pages 813-846, July-Aug..
    38. Abowd, John M. & Kramarz, Francis, 1999. "Econometric analyses of linked employer-employee data," Labour Economics, Elsevier, vol. 6(1), pages 53-74, March.
    39. Burdett, Kenneth & Mortensen, Dale T, 1998. "Wage Differentials, Employer Size, and Unemployment," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(2), pages 257-273, May.
    40. Rosholm, Michael & Svarer, Michael, 2004. "Endogenous wage dispersion in a search-matching model," Labour Economics, Elsevier, vol. 11(5), pages 623-645, October.
    41. 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.
    42. Douglas, Paul H, 1976. "The Cobb-Douglas Production Function Once Again: Its History, Its Testing, and Some New Empirical Values," Journal of Political Economy, University of Chicago Press, vol. 84(5), pages 903-915, October.
    43. Ana Rute Cardoso & Pedro Portugal, 2005. "Contractual Wages and the Wage Cushion under Different Bargaining Settings," Journal of Labor Economics, University of Chicago Press, vol. 23(4), pages 875-902, October.
    44. Griliches, Zvi, 1977. "Estimating the Returns to Schooling: Some Econometric Problems," Econometrica, Econometric Society, vol. 45(1), pages 1-22, January.
    45. Michael Spence, 1973. "Job Market Signaling," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 87(3), pages 355-374.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bertay, Ata Can & Carreño, José & Huizinga, Harry & Uras, Burak & Vellekoop, Nathanael, 2022. "Technological change and the finance wage premium," SAFE Working Paper Series 361, Leibniz Institute for Financial Research SAFE.
    2. Alastair Langtry, 2022. "Keeping up with "The Joneses": reference dependent choice with social comparisons," Papers 2203.10305, arXiv.org, revised Aug 2022.
    3. Carneiro, Anabela & Portugal, Pedro & Raposo, Pedro & Rodrigues, Paulo M.M., 2023. "The persistence of wages," Journal of Econometrics, Elsevier, vol. 233(2), pages 596-611.
    4. Pedro Portugal & Hugo Reis & Paulo Guimarães & Ana Rute Cardoso, 2023. "What lies behind returns to schooling: the role of labor market sorting and worker heterogeneity," Working Papers w202322, Banco de Portugal, Economics and Research Department.
    5. Kristian López Vargas & Julian Runge & Ruizhi Zhang, 2022. "Algorithmic Assortative Matching on a Digital Social Medium," Information Systems Research, INFORMS, vol. 33(4), pages 1138-1156, December.
    6. Joana Garcia & João Amador, 2023. "Currency choices and the role of the U.S. dollar in international services trade," Working Papers w202316, Banco de Portugal, Economics and Research Department.
    7. Boza, István & Reizer, Balázs, 2024. "The Role of Flexible Wage Components in Gender Wage Difference," IZA Discussion Papers 17125, Institute of Labor Economics (IZA).
    8. Jorge Pérez Pérez & José G. Nuño-Ledesma, 2024. "Workers, Workplaces, Sorting, and Wage Dispersion in Mexico," Working Papers 2024-06, Banco de México.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Paulo Guimarães & Pedro Portugal & Sónia Torres, 2013. "The sources of wage variation: a three-way high-dimensional fixed effects regression model," Working Papers w201309, Banco de Portugal, Economics and Research Department.
    2. Benjamin Lochner & Bastian Schulz, 2024. "Firm Productivity, Wages, and Sorting," Journal of Labor Economics, University of Chicago Press, vol. 42(1), pages 85-119.
    3. Paulo Guimarães & Pedro Portugal & Sónia Torres, 2010. "The Sources of Wage Variation: An Analysis Using Matched Employer-Employee Data," Working Papers w201025, Banco de Portugal, Economics and Research Department.
    4. 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.
    5. Kory Kantenga, 2016. "Sorting and Wage Inequality," 2016 Meeting Papers 660, Society for Economic Dynamics.
    6. Rasmus Lentz & Jean Marc Robin & Suphanit Piyapromdee, 2018. "On Worker and Firm Heterogeneity in Wages and Employment Mobility: Evidence from Danish Register Data," 2018 Meeting Papers 469, Society for Economic Dynamics.
    7. 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.
    8. Bombardini, Matilde & Orefice, Gianluca & Tito, Maria D., 2019. "Does exporting improve matching? Evidence from French employer-employee data," Journal of International Economics, Elsevier, vol. 117(C), pages 229-241.
    9. Katarína Borovičková & Robert Shimer, 2017. "High Wage Workers Work for High Wage Firms," NBER Working Papers 24074, National Bureau of Economic Research, Inc.
    10. Cristian Bartolucci & Francesco Devicienti & Ignacio Monzón, 2018. "Identifying Sorting in Practice," American Economic Journal: Applied Economics, American Economic Association, vol. 10(4), pages 408-438, October.
    11. Banfi, Stefano & Choi, Sekyu & Villena-Roldán, Benjamín, 2022. "Sorting on-line and on-time," European Economic Review, Elsevier, vol. 146(C).
    12. Dobbelaere, Sabien & Mairesse, Jacques, 2018. "Comparing micro-evidence on rent sharing from two different econometric models," Labour Economics, Elsevier, vol. 52(C), pages 18-26.
    13. 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.
    14. Cristian Bartolucci & Francesco Devicienti, 2012. "Better Workers Move to Better Firms: A Simple Test to Identify Sorting," Carlo Alberto Notebooks 259, Collegio Carlo Alberto.
    15. Bassi, Vittorio & Nyshadham, Anant & Tamayo, Jorge & Adhvaryu, Achyuta, 2020. "No Line Left Behind: Assortative Matching Inside the Firm," CEPR Discussion Papers 14554, C.E.P.R. Discussion Papers.
    16. Jeremy Lise & Costas Meghir & Jean-Marc Robin, 2016. "Matching, Sorting and Wages," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 19, pages 63-87, January.
    17. Morchio, Iacopo & Moser, Christian, 2018. "The Gender Pay Gap: Micro Sources and Macro Consequences," MPRA Paper 99276, University Library of Munich, Germany, revised 24 Mar 2020.
    18. Davidson, Carl & Heyman, Fredrik & Matusz, Steven & Sjöholm, Fredrik & Zhu, Susan Chun, 2014. "Globalization and imperfect labor market sorting," Journal of International Economics, Elsevier, vol. 94(2), pages 177-194.
    19. Morchio, Iacopo & Moser, Christian, 2018. "The Gender Pay Gap: Micro Sources and Macro Consequences," MPRA Paper 99276, University Library of Munich, Germany, revised 24 Mar 2020.
    20. Woodcock Simon D, 2010. "Heterogeneity and Learning in Labor Markets," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 10(1), pages 1-69, September.

    More about this item

    Keywords

    High dimensional fixed effects; Wage decomposition; Assortative matching;
    All these keywords.

    JEL classification:

    • J2 - Labor and Demographic Economics - - Demand and Supply of Labor
    • J41 - Labor and Demographic Economics - - Particular Labor Markets - - - Labor Contracts

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:labeco:v:54:y:2018:i:c:p:47-60. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/labeco .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.