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IZA Discussion Paper No. 13714
September 2020
A Note on the Importance of Normalizations in Dynamic Latent Factor Models of Skill Formation

published as 'Identification of dynamic latent factor models of skill formation with translog production' in: Journal of Applied Econometrics, 2022, 37 (6), 1256 - 1265

In this paper we highlight an important property of the translog production function for the identification of treatment effects in a model of latent skill formation. We show that when using a translog specification of the skill technology, properly anchored treatment effect estimates are invariant to any location and scale normalizations of the underlying measures. By contrast, when researchers assume a CES production function and impose standard location and scale normalizations, the resulting treatment effect estimates are biased. Interestingly, the CES technology with standard normalizations yields biased treatment effect estimates even when age-invariant measures of the skills are available. We theoretically prove the normalization invariance of the translog production function and then produce several simulations illustrating the effects of location and scale normalizations for different technologies and types of skills measures.

Kommunikation
Mark Fallak
mark.fallak@liser.lu
+352 585-855-526
World of Labour
Olga Nottmeyer
olga.nottmeyer@liser.lu
+352 585-855-501
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Christina Gathmann
christina.gathmann@liser.lu

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