IDEAS home Printed from https://ideas.repec.org/a/spr/empeco/v53y2017i4d10.1007_s00181-016-1179-0.html
   My bibliography  Save this article

Estimation of a model for matched panel data with high-dimensional two-way unobserved heterogeneity

Author

Listed:
  • Øivind A. Nilsen

    (Norwegian School of Economics)

  • Arvid Raknerud

    (Statistics Norway, Research Department)

  • Terje Skjerpen

    (Statistics Norway, Research Department)

Abstract

We consider a model for matched data with two types of unobserved effects: a random effect related to the main observational unit and a random or fixed effect related to a secondary unit to which the main unit is matched. In typical applications, e.g., on registry data, there is a curse of dimensionality which we propose to mitigate using an iterative feasible GLS approach on variables subjected to the Helmert transformation. Control functions allow for correlation between the explanatory variables and the random effects. This approach is illustrated by a wage equation with unobserved individual- and firm-specific effects and an endogenous years-of-schooling variable.

Suggested Citation

  • Øivind A. Nilsen & Arvid Raknerud & Terje Skjerpen, 2017. "Estimation of a model for matched panel data with high-dimensional two-way unobserved heterogeneity," Empirical Economics, Springer, vol. 53(4), pages 1657-1680, December.
    • Handle: RePEc:spr:empeco:v:53:y:2017:i:4:d:10.1007_s00181-016-1179-0
    DOI: 10.1007/s00181-016-1179-0
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00181-016-1179-0
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00181-016-1179-0?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. Benoit Dostie, 2011. "Wages, Productivity and Aging," De Economist, Springer, vol. 159(2), pages 139-158, June.
    2. Gruetter, Max & Lalive, Rafael, 2009. "The importance of firms in wage determination," Labour Economics, Elsevier, vol. 16(2), pages 149-160, April.
    3. Rasmus Lentz & Jesper Bagger, 2009. "An Empirical Model of Wage Dispersion with Sorting," 2009 Meeting Papers 964, Society for Economic Dynamics.
    4. Hausman, Jerry A & Taylor, William E, 1981. "Panel Data and Unobservable Individual Effects," Econometrica, Econometric Society, vol. 49(6), pages 1377-1398, November.
    5. 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.
    6. Greene, William, 2011. "Fixed Effects Vector Decomposition: A Magical Solution to the Problem of Time-Invariant Variables in Fixed Effects Models?," Political Analysis, Cambridge University Press, vol. 19(2), pages 135-146, April.
    7. Woodcock, Simon D., 2015. "Match effects," Research in Economics, Elsevier, vol. 69(1), pages 100-121.
    8. 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.
    9. Robert Plasman & François Rycx & Ilan Tojerow, 2007. "Wage differentials in Belgium: the role of worker and employer characteristics," Brussels Economic Review, ULB -- Universite Libre de Bruxelles, vol. 50(1), pages 11-40.
    10. Card, David, 1999. "The causal effect of education on earnings," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 3, chapter 30, pages 1801-1863, Elsevier.
    11. Breusch, Trevor & Ward, Michael B. & Nguyen, Hoa Thi Minh & Kompas, Tom, 2011. "On the Fixed-Effects Vector Decomposition," Political Analysis, Cambridge University Press, vol. 19(2), pages 123-134, April.
    12. Robert Shimer & Lones Smith, 2000. "Assortative Matching and Search," Econometrica, Econometric Society, vol. 68(2), pages 343-370, March.
    13. Blanchard, Pierre & Matyas, Laszlo, 1996. "Robustness of tests for error components models to non-normality," Economics Letters, Elsevier, vol. 51(2), pages 161-167, May.
    14. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Econometrica, Econometric Society, vol. 70(6), pages 2295-2350, November.
    15. Biørn, Erik & Godager, Geir, 2010. "Does quality influence choice of general practitioner? An analysis of matched doctor-patient panel data," Economic Modelling, Elsevier, vol. 27(4), pages 842-853, July.
    16. Garen, John, 1984. "The Returns to Schooling: A Selectivity Bias Approach with a Continuous Choice Variable," Econometrica, Econometric Society, vol. 52(5), pages 1199-1218, September.
    17. 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.
    18. Gilbert, Scott, 2002. "Testing the distribution of error components in panel data models," Economics Letters, Elsevier, vol. 77(1), pages 47-53, September.
    19. Gourieroux,Christian & Monfort,Alain, 1995. "Statistics and Econometric Models," Cambridge Books, Cambridge University Press, number 9780521477444, January.
    20. Keane, Michael P & Runkle, David E, 1992. "On the Estimation of Panel-Data Models with Serial Correlation When Instruments Are Not Strictly Exogenous," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(1), pages 1-9, January.
    21. 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.
    22. Arellano, Manuel & Bover, Olympia, 1995. "Another look at the instrumental variable estimation of error-components models," Journal of Econometrics, Elsevier, vol. 68(1), pages 29-51, July.
    23. Heckman, James, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
    24. Thomas Cornelissen, 2008. "The Stata command felsdvreg to fit a linear model with two high-dimensional fixed effects," Stata Journal, StataCorp LP, vol. 8(2), pages 170-189, June.
    25. Thierry Lallemand & Robert Plasman & François Rycx, 2005. "Why do large firms pay higher wages? Evidence from matched worker‐firm data," International Journal of Manpower, Emerald Group Publishing Limited, vol. 26(7/8), pages 705-723, October.
    26. repec:hal:spmain:info:hdl:2441/c8dmi8nm4pdjkuc9g8grh35j2 is not listed on IDEAS
    27. Marc K. Francke & Siem Jan Koopman & Aart F. De Vos, 2010. "Likelihood functions for state space models with diffuse initial conditions," Journal of Time Series Analysis, Wiley Blackwell, vol. 31(6), pages 407-414, November.
    28. Fabien Postel-Vinay & Jean-Marc Robin, 2002. "Equilibrium Wage Dispersion with Worker and Employer Heterogeneity," Post-Print hal-03458567, HAL.
    29. O. Ashenfelter & D. Card (ed.), 1999. "Handbook of Labor Economics," Handbook of Labor Economics, Elsevier, edition 1, volume 3, number 3.
    30. László Mátyás & Patrick Sevestre (ed.), 2008. "The Econometrics of Panel Data," Advanced Studies in Theoretical and Applied Econometrics, Springer, number 978-3-540-75892-1.
    31. Vasso Ioannidou & Steven Ongena, 2010. "“Time for a Change”: Loan Conditions and Bank Behavior when Firms Switch Banks," Journal of Finance, American Finance Association, vol. 65(5), pages 1847-1877, October.
    32. 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.
    33. Abowd, John M. & Kramarz, Francis, 1999. "Econometric analyses of linked employer-employee data," Labour Economics, Elsevier, vol. 6(1), pages 53-74, March.
    34. 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.
    35. Oberhofer, W & Kmenta, J, 1974. "A General Procedure for Obtaining Maximum Likelihood Estimates in Generalized Regression Models," Econometrica, Econometric Society, vol. 42(3), pages 579-590, May.
    36. Plümper, Thomas & Troeger, Vera E., 2011. "Fixed-Effects Vector Decomposition: Properties, Reliability, and Instruments," Political Analysis, Cambridge University Press, vol. 19(2), pages 147-164, April.
    37. Keane, Michael P & Runkle, David E, 1992. "On the Estimation of Panel-Data Models with Serial Correlation When Instruments Are Not Strictly Exogenous: Reply," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(1), pages 26-29, January.
    38. Torben Sørensen & Rune Vejlin, 2013. "The importance of worker, firm and match effects in the formation of wages," Empirical Economics, Springer, vol. 45(1), pages 435-464, August.
    39. Fredrik Heyman, 2007. "Firm Size or Firm Age? The Effect on Wages Using Matched Employer–Employee Data," LABOUR, CEIS, vol. 21(2), pages 237-263, June.
    40. Breusch, Trevor S., 1987. "Maximum likelihood estimation of random effects models," Journal of Econometrics, Elsevier, vol. 36(3), pages 383-389, November.
    41. repec:hal:spmain:info:hdl:2441/dc0ckec3fcb29ms985085gkbp is not listed on IDEAS
    Full references (including those not matched with items on IDEAS)

    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. Nilsen, Øivind Anti & Raknerud, Arvid & Skjerpen, Terje, 2011. "Using the Helmert-transformation to reduce dimensionality in a mixed model: Application to a wage equation with worker and firm heterogeneity," Discussion Paper Series in Economics 11/2011, Norwegian School of Economics, Department of Economics, revised 04 Oct 2011.
    2. 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.
    3. Torben Sørensen & Rune Vejlin, 2013. "The importance of worker, firm and match effects in the formation of wages," Empirical Economics, Springer, vol. 45(1), pages 435-464, August.
    4. Mittag, Nikolas, 2016. "A Simple Method to Estimate Large Fixed Effects Models Applied to Wage Determinants and Matching," IZA Discussion Papers 10447, Institute of Labor Economics (IZA).
    5. 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.
    6. 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.
    7. Mittag, Nikolas, 2012. "New methods to estimate models with large sets of fixed effects with an application to matched employer-employee data from Germany," FDZ Methodenreport 201201_en, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany].
    8. 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.
    9. Beatriz Muriel Hernández, 2016. "An Analysis of Firm Characteristics as Earnings Determinants: The Urban Bolivia Case," Development Research Working Paper Series 04/2016, Institute for Advanced Development Studies.
    10. 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.
    11. Cornelissen, Thomas & Hübler, Olaf, 2007. "Unobserved Individual and Firm Heterogeneity in Wage and Tenure Functions: Evidence from German Linked Employer-Employee Data," IZA Discussion Papers 2741, Institute of Labor Economics (IZA).
    12. Nikolas Mittag, 2015. "A Simple Method to Estimate Large Fixed Effects Models Applied to Wage Determinants and Matching," CERGE-EI Working Papers wp532, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
    13. Cornelißen Thomas & Hübler Olaf, 2011. "Unobserved Individual and Firm Heterogeneity in Wage and Job-Duration Functions: Evidence from German Linked Employer–Employee Data," German Economic Review, De Gruyter, vol. 12(4), pages 469-489, December.
    14. repec:hal:spmain:info:hdl:2441/78hlmdbud88hhp5vbdddivv2hu is not listed on IDEAS
    15. repec:spo:wpmain:info:hdl:2441/78hlmdbud88hhp5vbdddivv2hu is not listed on IDEAS
    16. Woodcock, Simon D., 2015. "Match effects," Research in Economics, Elsevier, vol. 69(1), pages 100-121.
    17. 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.
    18. Christopher Taber & Rune Vejlin, 2020. "Estimation of a Roy/Search/Compensating Differential Model of the Labor Market," Econometrica, Econometric Society, vol. 88(3), pages 1031-1069, May.
    19. 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.
    20. Katarína Borovičková & Robert Shimer, 2017. "High Wage Workers Work for High Wage Firms," NBER Working Papers 24074, National Bureau of Economic Research, Inc.
    21. repec:hal:journl:hal-01070442 is not listed on IDEAS
    22. John Kennes & Daniel le Maire, 2010. "Coordination Frictions and Job Heterogeneity: A Discrete Time Analysis," Economics Working Papers 2010-05, Department of Economics and Business Economics, Aarhus University.
    23. 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.

    More about this item

    Keywords

    Matched employer–employee data; Helmert transformation; Random effects; Wage equation; Iterative feasible GLS;
    All these keywords.

    JEL classification:

    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C81 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Methodology for Collecting, Estimating, and Organizing Microeconomic Data; Data Access
    • J31 - Labor and Demographic Economics - - Wages, Compensation, and Labor Costs - - - Wage Level and Structure; Wage Differentials

    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:spr:empeco:v:53:y:2017:i:4:d:10.1007_s00181-016-1179-0. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.