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A Note on Parametric and Nonparametric Regression in the Presence of Endogenous Control Variables

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  • Markus Frölich

Abstract

This note argues that nonparametric regression not only relaxes functional form assumptions vis-a-vis parametric regression, but that it also permits endogenous control variables. To control for selection bias or to make an exclusion restriction in instrumental variables regression valid, additional control variables are often added to a regression. If any of these control variables is endogenous, OLS or 2SLS would be inconsistent and would require further instrumental variables. Nonparametric approaches are still consistent, though. A few examples are examined and it is found that the asymptotic bias of OLS can indeed be very large.

Suggested Citation

  • Markus Frölich, 2006. "A Note on Parametric and Nonparametric Regression in the Presence of Endogenous Control Variables," University of St. Gallen Department of Economics working paper series 2006 2006-11, Department of Economics, University of St. Gallen.
    • Handle: RePEc:usg:dp2006:2006-11
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    Cited by:

    1. Richard Blundell & Monica Costa Dias, 2009. "Alternative Approaches to Evaluation in Empirical Microeconomics," Journal of Human Resources, University of Wisconsin Press, vol. 44(3).
    2. Markus Frölich & Blaise Melly, 2013. "Unconditional Quantile Treatment Effects Under Endogeneity," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 31(3), pages 346-357, July.
    3. Frölich, Markus & Lechner, Michael, 2010. "Exploiting Regional Treatment Intensity for the Evaluation of Labor Market Policies," Journal of the American Statistical Association, American Statistical Association, vol. 105(491), pages 1014-1029.
    4. Bourdon, Jean & Frölich, Markus & Michaelowa, Katharina, 2007. "Teacher Shortages, Teacher Contracts and their Impact on Education in Africa," IZA Discussion Papers 2844, Institute of Labor Economics (IZA).
    5. Pavel Ciaian & Jan Fałkowski & D’Artis Kancs, 2012. "Productivity and credit constraints: A firm-level propensity score evidence for agricultural farms in central and east European countries," Acta Oeconomica, Akadémiai Kiadó, Hungary, vol. 62(4), pages 459-487, December.
    6. Miana Plesca & Jeffrey Smith, 2008. "Evaluating multi-treatment programs: theory and evidence from the U.S. Job Training Partnership Act experiment," Studies in Empirical Economics, in: Christian Dustmann & Bernd Fitzenberger & Stephen Machin (ed.), The Economics of Education and Training, pages 293-330, Springer.
    7. Ciaian, Pavel & Fa?kowski, Jan & d’Artis, Kanc & Pokrivcak, Jan, 2011. "Productivity and Credit Constraints: Firm-Level Evidence from Propensity Score Matching," Factor Markets Working Papers 99, Centre for European Policy Studies.
    8. Tamini, Lota D., 2009. "Agri-Environment Advisory Activities Effects on Best Management Practices Adoption," MPRA Paper 18961, University Library of Munich, Germany.

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    More about this item

    Keywords

    Endogeneity; nonparametric regression; instrumental variables;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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