Using the Helmert-Transformation to Reduce Dimensionality in a Mixed Model: Application to a Wage Equation with Worker and Firm Heterogeneity
AbstractA 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Institute for the Study of Labor (IZA) in its series IZA Discussion Papers with number 5847.
Length: 29 pages
Date of creation: Jul 2011
Date of revision:
Contact details of provider:
Postal: IZA, P.O. Box 7240, D-53072 Bonn, Germany
Phone: +49 228 3894 223
Fax: +49 228 3894 180
Web page: http://www.iza.org
Postal: IZA, Margard Ody, P.O. Box 7240, D-53072 Bonn, Germany
Other versions of this item:
- 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, Department of Economics, Norwegian School of Economics, revised 04 Oct 2011.
- 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
This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-08-02 (All new papers)
- NEP-ECM-2011-08-02 (Econometrics)
- NEP-LAB-2011-08-02 (Labour Economics)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Max Gruetter & Rafael Lalive, .
"The Importance of Firms in Wage Determination,"
IEW - Working Papers
207, Institute for Empirical Research in Economics - University of Zurich.
- 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.
- 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.
- 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.
- 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.
- John M. Abowd & Francis Kramarz & David N. Margolis, 1994. "High-Wage Workers and High-Wage Firms," CIRANO Working Papers 94s-23, CIRANO.
- 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, 2009. "Identifying Sorting - In Theory," PIER Working Paper Archive 09-007, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
- 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.
- 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.
- Mundlak, Yair, 1978. "On the Pooling of Time Series and Cross Section Data," Econometrica, Econometric Society, vol. 46(1), pages 69-85, January.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Mark Fallak).
If references are entirely missing, you can add them using this form.