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Using the Helmert-transformation to reduce dimensionality in a mixed model: Application to a wage equation with worker and firm heterogeneity

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Author Info

  • Nilsen, Øivind Anti

    ()
    (Dept. of Economics, Norwegian School of Economics and Business Administration)

  • Raknerud, Arvid

    (Statistics Norway)

  • Skjerpen, Terje

    (Statistics Norway)

Abstract

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 identi…cation of the e¤ect of time-invariant variables on the observation units. Applying the Helmert transformation to reduce dimensionality simpli…es 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 a¤ects the estimate of the return to education considerably.

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Bibliographic Info

Paper provided by Department of Economics, Norwegian School of Economics in its series Discussion Paper Series in Economics with number 11/2011.

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Length: 27 pages
Date of creation: 05 Jul 2011
Date of revision: 04 Oct 2011
Handle: RePEc:hhs:nhheco:2011_011

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Postal: NHH, Department of Economics, Helleveien 30, N-5045 Bergen, Norway
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Keywords: High-dimensional two-way unobserved components; Matched employer-employee data; ECM-algorithm.;

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  15. 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.
  16. 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.
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