Using the Helmert-Transformation to Reduce Dimensionality in a Mixed Model: Application to a Wage Equation with Worker and Firm Heterogeneity
A model for matched data with two types of unobserved heterogeneity is considered – one related to the observation unit, the other to units to which the observation units are matched. One or both of the unobserved components are assumed to be random. This mixed model allows identification of the effect of time-invariant variables on the observation units. Applying the Helmert transformation to reduce dimensionality simplifies the computational problem substantially. The framework has many potential applications; we apply it to wage modeling. Using Norwegian manufacturing data shows that the assumption with respect to the two types of heterogeneity affects the estimate of the return to education considerably.
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- 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.
- Philipp Kircher & Jan Eeckhout, 2009.
"Identifying Sorting, In Theory,"
2009 Meeting Papers
581, Society for Economic Dynamics.
- Eeckhout, Jan & Kircher, Philipp, 2009. "Identifying Sorting: In Theory," IZA Discussion Papers 4004, Institute for the Study of Labor (IZA).
- Jan Eeckhout & Philipp Kircher, 2011. "Identifying sorting: in theory," LSE Research Online Documents on Economics 29708, London School of Economics and Political Science, LSE Library.
- Jan Eeckhout & Philipp Kircher, 2009. "Identifying Sorting - In Theory," PIER Working Paper Archive 09-007, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
- John M. Abowd & Francis Kramarz & David N. Margolis, 1994.
"High Wage Workers and High Wage Firms,"
NBER Working Papers
4917, National Bureau of Economic Research, Inc.
- David Margolis, 1995. "High Wage Workers and High Wage Firms," Post-Print halshs-00378229, HAL.
- Abowd, J.M. & Kramarz, F. & Margolis, D.N., 1995. "High-Wage Workers and High-Wage Firms," Cahiers de recherche 9503, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Abowd, J.M. & Kramarz, F. & Margolis, D.N., 1995. "High-Wage Workers and High-Wage Firms," Cahiers de recherche 9503, Universite de Montreal, Departement de sciences economiques.
- John M. Abowd & Francis Kramarz & David Margolis, 1999. "High Wage Workers and High Wage Firms," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00353892, HAL.
- John M. Abowd & Francis Kramarz & David N. Margolis, 1994. "High-Wage Workers and High-Wage Firms," CIRANO Working Papers 94s-23, CIRANO.
- 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.
- 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.
- Biørn, Erik & Godager, Geir, 2010.
"Does quality influence choice of general practitioner? An analysis of matched doctor-patient panel data,"
Elsevier, vol. 27(4), pages 842-853, July.
- Biorn, Erik & Godager, Geir, 2008. "Does quality influence choice of general practitioner? An analysis of matched doctor-patient panel data," MPRA Paper 8793, University Library of Munich, Germany.
- Biørn, Erik & Godager, Geir, 2009. "Does quality influence choice of general practitioner? An analysis of matched doctor-patient panel data," HERO On line Working Paper Series 2008:3, Oslo University, Health Economics Research Programme.
- Gruetter, Max & Lalive, Rafael, 2004.
"The Importance of Firms in Wage Determination,"
IZA Discussion Papers
1367, Institute for the Study of Labor (IZA).
- Thierry Lallemand & Robert Plasman & François Rycx, 2005. "Why do large firms pay higher wages? evidence from matched worker-firm data," ULB Institutional Repository 2013/8743, ULB -- Universite Libre de Bruxelles.
- Sónia Torres & Pedro Portugal & John T. Addison & Paulo Guimarães, 2010. "The Sources of Wage Variation: An Analysis Using Matched Employer-Employee Data," Working Papers w201025, Banco de Portugal, Economics and Research Department.
- 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.
- 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.
- Robert Plasman & François Rycx & Ilan Tojerow, 2007. "Wage differentials in Belgium: the role of worker and employer characteristics," DULBEA Working Papers 07-12.RS, ULB -- Universite Libre de Bruxelles.
- 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.
- M Arellano & O Bover, 1990. "Another Look at the Instrumental Variable Estimation of Error-Components Models," CEP Discussion Papers dp0007, Centre for Economic Performance, LSE.
- 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.
- 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.
- Mundlak, Yair, 1978. "On the Pooling of Time Series and Cross Section Data," Econometrica, Econometric Society, vol. 46(1), pages 69-85, January.
- 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.
- 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, 06.
- Thomas Cornelißen & Olaf Hübler, 2011. "Unobserved Individual and Firm Heterogeneity in Wage and Job‐Duration Functions: Evidence from German Linked Employer–Employee Data," German Economic Review, Verein für Socialpolitik, vol. 12(4), pages 469-489, November.
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