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

Øivind Nilsen, Arvid Raknerud and Terje Skjerpen
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Arvid Raknerud: Statistics Norway, Postal: P.O. 8131 Dep, N-0033 Oslo, Norway

No 11/2011, Discussion Paper Series in Economics from Norwegian School of Economics, Department of Economics

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.

Keywords: High-dimensional two-way unobserved components; Matched employer-employee data; ECM-algorithm. (search for similar items in EconPapers)
JEL-codes: C23 C81 J31 (search for similar items in EconPapers)
Pages: 27 pages
Date: 2011-07-05, Revised 2011-10-04
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Related works:
Working Paper: Using the Helmert-Transformation to Reduce Dimensionality in a Mixed Model: Application to a Wage Equation with Worker and Firm Heterogeneity (2011)
Working Paper: Using the Helmert-transformation to reduce dimensionality in a mixed model: An application to a wage equation with worker and firm heterogeneity (2011)
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