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

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Markus Frölich ()

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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.

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File URL: http://www.vwa.unisg.ch/RePEc/usg/dp2006/DP11_fr.pdf
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Paper provided by Department of Economics, University of St. Gallen in its series University of St. Gallen Department of Economics working paper series 2006 with number 2006-11.

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Length: 14 pages
Date of creation: May 2006
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Handle: RePEc:usg:dp2006:2006-11

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Related research
Keywords: Endogeneity; nonparametric regression; instrumental variables;

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Find related papers by JEL classification:
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation
C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Semiparametric and Nonparametric Methods

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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    Other versions:
  3. James J. Heckman & Jeffrey A. Smith, 1999. "The Pre-Program Earnings Dip and the Determinants of Participation in a Social Program: Implications for Simple Program Evaluation Strategies," NBER Working Papers 6983, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  5. Paul Glewwe & Michael Kremer & Sylvie Moulin & Eric Zitzewitz, 2000. "Retrospective vs. Prospective Analyses of School Inputs: The Case of Flip Charts in Kenya," NBER Working Papers 8018, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  6. Dan A. Black & Jeffrey Smith, 2003. "How Robust is the Evidence on the Effects of College Quality? Evidence From Matching," University of Western Ontario, CIBC Human Capital and Productivity Project Working Papers 20033, University of Western Ontario, CIBC Human Capital and Productivity Project. [Downloadable!]
    Other versions:
  7. Joshua Angrist & Victor Lavy, 2002. "New Evidence on Classroom Computers and Pupil Learning," Economic Journal, Royal Economic Society, vol. 112(482), pages 735-765, October. [Downloadable!] (restricted)
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  8. Guido W. Imbens, 2004. "Nonparametric Estimation of Average Treatment Effects Under Exogeneity: A Review," The Review of Economics and Statistics, MIT Press, vol. 86(1), pages 4-29, 06. [Downloadable!] (restricted)
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  9. Hoxby, Caroline Minter, 1996. "How Teachers' Unions Affect Education Production," The Quarterly Journal of Economics, MIT Press, vol. 111(3), pages 671-718, August. [Downloadable!] (restricted)
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  12. Lorraine Dearden & Javier Ferri & Costas Meghir, 2000. "The effect of school quality on educational attainment and wages," IFS Working Papers W00/22, Institute for Fiscal Studies. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Markus Frölich & Michael Lechner, 2006. "Exploiting regional treatment intensity for the evaluation of labour market policies," University of St. Gallen Department of Economics working paper series 2006 2006-12, Department of Economics, University of St. Gallen. [Downloadable!]
    Other versions:
  2. Richard Blundell & Monica Costa Dias, 2008. "Alternative approaches to evaluation in empirical microeconomics," CeMMAP working papers CWP26/08, Centre for Microdata Methods and Practice, Institute for Fiscal Studies. [Downloadable!]
    Other versions:
  3. Frölich, Markus & Melly, Blaise, 2008. "Unconditional Quantile Treatment Effects under Endogeneity," IZA Discussion Papers 3288, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  4. Jean Bourdon & Markus Frölich & Katharina Michaelowa, 2007. "Teacher Shortages, Teacher Contracts and their Impact on Education in Africa," IZA Discussion Papers 2844, Institute for the Study of Labor (IZA). [Downloadable!]
    Other versions:
  5. Miana Plesca & Jeffrey Smith, 2007. "Evaluating multi-treatment programs: theory and evidence from the U.S. Job Training Partnership Act experiment," Empirical Economics, Springer, vol. 32(2), pages 491-528, May. [Downloadable!] (restricted)
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