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On the use of robust regression in econometrics

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  • Baldauf, Markus
  • Santos Silva, Joao M C

Abstract

The use of robust regression estimators has gained popularity among applied econometricians. The main argument invoked to justify the use of the robust estimators is that they provide efficiency gains in the presence of outliers or non-normal errors. Unfortunately, most practitioners seem to be unaware of the fact that heteroskedastic and skewed errors can dramatically affect the properties of these estimators. In this paper we reconsider the interpretation of the specific robust estimator that has become popular in applied econometrics, and conclude that its use in this context cannot be generally recommended.

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  • Baldauf, Markus & Santos Silva, Joao M C, 2009. "On the use of robust regression in econometrics," Economics Discussion Papers 3543, University of Essex, Department of Economics.
    • Handle: RePEc:esx:essedp:3543
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    1. Lee, Myoung-jae, 1989. "Mode regression," Journal of Econometrics, Elsevier, vol. 42(3), pages 337-349, November.
    2. Chan, Kenneth S. & Godby, Rob & Mestelman, Stuart & Andrew Muller, R., 2002. "Crowding-out voluntary contributions to public goods," Journal of Economic Behavior & Organization, Elsevier, vol. 48(3), pages 305-317, July.
    3. Alpizar, Francisco & Carlsson, Fredrik & Johansson-Stenman, Olof, 2008. "Anonymity, reciprocity, and conformity: Evidence from voluntary contributions to a national park in Costa Rica," Journal of Public Economics, Elsevier, vol. 92(5-6), pages 1047-1060, June.
    4. Godfrey, L. G. & Orme, C. D., 1991. "Testing for skewness of regression disturbances," Economics Letters, Elsevier, vol. 37(1), pages 31-34, September.
    5. Andersen, Jørgen Juel & Aslaksen, Silje, 2008. "Constitutions and the resource curse," Journal of Development Economics, Elsevier, vol. 87(2), pages 227-246, October.
    6. Lee, Myoung-jae, 1993. "Quadratic mode regression," Journal of Econometrics, Elsevier, vol. 57(1-3), pages 1-19.
    7. Lang, Kevin & Kahn, Shulamit, 1998. "The effect of minimum-wage laws on the distribution of employment: theory and evidence," Journal of Public Economics, Elsevier, vol. 69(1), pages 67-82, July.
    8. Kemp, Gordon C.R. & Santos Silva, J.M.C., 2012. "Regression towards the mode," Journal of Econometrics, Elsevier, vol. 170(1), pages 92-101.
    9. Rosario Crinò, 2010. "Service Offshoring and White-Collar Employment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 77(2), pages 595-632.
    10. Olivier Deschênes & Michael Greenstone, 2007. "The Economic Impacts of Climate Change: Evidence from Agricultural Output and Random Fluctuations in Weather," American Economic Review, American Economic Association, vol. 97(1), pages 354-385, March.
    11. George P. Baker & Brian J. Hall, 2004. "CEO Incentives and Firm Size," Journal of Labor Economics, University of Chicago Press, vol. 22(4), pages 767-798, October.
    12. Arabmazar, Abbas & Schmidt, Peter, 1981. "Further evidence on the robustness of the Tobit estimator to heteroskedasticity," Journal of Econometrics, Elsevier, vol. 17(2), pages 253-258, November.
    13. Zaman, Asad & Rousseeuw, Peter J. & Orhan, Mehmet, 2001. "Econometric applications of high-breakdown robust regression techniques," Economics Letters, Elsevier, vol. 71(1), pages 1-8, April.
    14. Rogers, Mark Llewellyn, 2008. "Directly unproductive schooling: How country characteristics affect the impact of schooling on growth," European Economic Review, Elsevier, vol. 52(2), pages 356-385, February.
    15. Jonathan R. W. Temple, 1998. "Robustness tests of the augmented Solow model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 13(4), pages 361-375.
    16. Baldauf, Markus & Santos Silva, J.M.C., 2012. "On the use of robust regression in econometrics," Economics Letters, Elsevier, vol. 114(1), pages 124-127.
    17. Brian J. Hall & Jeffrey B. Liebman, 1998. "Are CEOs Really Paid Like Bureaucrats?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 113(3), pages 653-691.
    18. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January.
    19. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-838, May.
    20. Breusch, T S & Pagan, A R, 1979. "A Simple Test for Heteroscedasticity and Random Coefficient Variation," Econometrica, Econometric Society, vol. 47(5), pages 1287-1294, September.
    21. Currie, Janet & Fahr, John, 2004. "Hospitals, managed care, and the charity caseload in California," Journal of Health Economics, Elsevier, vol. 23(3), pages 421-442, May.
    22. Croxson, B. & Propper, C. & Perkins, A., 2001. "Do doctors respond to financial incentives? UK family doctors and the GP fundholder scheme," Journal of Public Economics, Elsevier, vol. 79(2), pages 375-398, February.
    23. Freund, Caroline & Bolaky, Bineswaree, 2008. "Trade, regulations, and income," Journal of Development Economics, Elsevier, vol. 87(2), pages 309-321, October.
    24. Koenker, Roger, 1981. "A note on studentizing a test for heteroscedasticity," Journal of Econometrics, Elsevier, vol. 17(1), pages 107-112, September.
    25. M.‐J. Lee & H. Kim, 1998. "Semiparametric econometric estimators for a truncated regression model: a review with an extension," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 52(2), pages 200-225, June.
    26. Portnoy, Stephen & Welsh, A. H., 1992. "Exactly what is being modelled by the systematic component in a heteroscedastic linear regression," Statistics & Probability Letters, Elsevier, vol. 13(4), pages 253-258, March.
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    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models

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