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An Oaxaca decomposition for nonlinear models

Author

Listed:
  • Stephen Bazen

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Xavier Joutard

    (LEST - Laboratoire d'Economie et de Sociologie du Travail - AMU - Aix Marseille Université - CNRS - Centre National de la Recherche Scientifique)

  • Brice Magdalou

    (LAMETA - Laboratoire Montpelliérain d'Économie Théorique et Appliquée - UM1 - Université Montpellier 1 - UPVM - Université Paul-Valéry - Montpellier 3 - INRA - Institut National de la Recherche Agronomique - Montpellier SupAgro - Centre international d'études supérieures en sciences agronomiques - UM - Université de Montpellier - CNRS - Centre National de la Recherche Scientifique - Montpellier SupAgro - Institut national d’études supérieures agronomiques de Montpellier)

Abstract

The widely used Oaxaca decomposition applies to linear models. Extending it to commonly used nonlinear models such as duration models is not straightforward. This paper shows that the original decomposition that uses a linear model can also be obtained by an application of the mean value theorem. By extension, this basis provides a means of obtaining a decomposition formula which applies to nonlinear models which are continuous functions. The detailed decomposition of the explained component is expressed in terms of what are usually referred to as marginal effects. Explicit formulae are provided for the decomposition of some nonlinear models commonly used in applied econometrics including binary choice, duration and Box-Cox models.

Suggested Citation

  • Stephen Bazen & Xavier Joutard & Brice Magdalou, 2017. "An Oaxaca decomposition for nonlinear models," Post-Print hal-01684635, HAL.
    • Handle: RePEc:hal:journl:hal-01684635
    DOI: 10.3233/JEM-170439
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    Cited by:

    1. Juan Acosta-Ballesteros & María del Pilar Osorno-del Rosal & Olga María Rodríguez-Rodríguez, 2021. "Measuring the effect of gender segregation on the gender gap in time-related underemployment," Journal for Labour Market Research, Springer;Institute for Employment Research/ Institut für Arbeitsmarkt- und Berufsforschung (IAB), vol. 55(1), pages 1-16, December.
    2. Acosta-Ballesteros, Juan & Osorno-Del Rosal, María Del Pilar & Rodríguez-Rodríguez, Olga Maria, 2021. "Measuring the effect of gender segregation on the gender gap in time-related underemployment," Journal for Labour Market Research, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany], vol. 55, pages 1-22.

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    JEL classification:

    • A13 - General Economics and Teaching - - General Economics - - - Relation of Economics to Social Values

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