IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v114y2012i1p124-127.html
   My bibliography  Save this article

On the use of robust regression in econometrics

Author

Listed:
  • Baldauf, Markus
  • Santos Silva, J.M.C.

Abstract

A particular robust regression estimator has gained popularity among applied econometricians. We show that this estimator is inconsistent for the parameters of the conditional mean when the errors are skewed and heteroskedastic, and conclude that therefore its use cannot be generally recommended.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:ecolet:v:114:y:2012:i:1:p:124-127
    DOI: 10.1016/j.econlet.2011.09.031
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176511003600
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.econlet.2011.09.031?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    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," Review of Economic Studies, Oxford University Press, 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mieczys³aw Kowerski, 2014. "Dividends And Earnings Quality In Poland," "e-Finanse", University of Information Technology and Management, Institute of Financial Research and Analysis, vol. 9(3), pages 42-51, January.
    2. Nico Voigtl?nder & Hans-Joachim Voth, 2013. "How the West "Invented" Fertility Restriction," American Economic Review, American Economic Association, vol. 103(6), pages 2227-2264, October.
    3. Kemp, Gordon C.R. & Santos Silva, J.M.C., 2012. "Regression towards the mode," Journal of Econometrics, Elsevier, vol. 170(1), pages 92-101.
    4. Luis A. Gil-Alana & Juncal Cunado & Rangan Gupta, 2017. "Persistence, Mean-Reversion and Non-linearities in Infant Mortality Rates," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 131(1), pages 393-405, March.
    5. Mohsin, Muhammad & Taghizadeh-Hesary, Farhad & Iqbal, Nadeem & Saydaliev, Hayot Berk, 2022. "The role of technological progress and renewable energy deployment in green economic growth," Renewable Energy, Elsevier, vol. 190(C), pages 777-787.
    6. 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.
    7. Hyun Kim & Yong-seong Kim & Myoung-jae Lee, 2012. "Treatment effect analysis of early reemployment bonus program: panel MLE and mode-based semiparametric estimator for interval truncation," Portuguese Economic Journal, Springer;Instituto Superior de Economia e Gestao, vol. 11(3), pages 189-209, December.
    8. Jessica Coria & Jūratė Jaraitė, 2019. "Transaction Costs of Upstream Versus Downstream Pricing of $$\hbox {CO}_{2}$$ CO 2 Emissions," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 72(4), pages 965-1001, April.
    9. Raman Uppal & Harjoat Bhamra, 2016. "Do Individual Behavioral Biases Affect Financial Markets and the Macroeconomy?," 2016 Meeting Papers 1358, Society for Economic Dynamics.
    10. He, Kaijian & Chen, Yanhui & Tso, Geoffrey K.F., 2017. "Price forecasting in the precious metal market: A multivariate EMD denoising approach," Resources Policy, Elsevier, vol. 54(C), pages 9-24.
    11. Masayuki Hirukawa & Mari Sakudo, 2016. "Testing Symmetry of Unknown Densities via Smoothing with the Generalized Gamma Kernels," Econometrics, MDPI, vol. 4(2), pages 1-27, June.
    12. Squalli Jay, 2012. "Expected Returns to Education and Experience in the United Arab Emirates," Review of Middle East Economics and Finance, De Gruyter, vol. 8(2), pages 1-17, October.
    13. Kaffine, Daniel T. & Davis, Graham A., 2017. "A multi-row deletion diagnostic for influential observations in small-sample regressions," Computational Statistics & Data Analysis, Elsevier, vol. 108(C), pages 133-145.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Kemp, Gordon C.R. & Santos Silva, J.M.C., 2012. "Regression towards the mode," Journal of Econometrics, Elsevier, vol. 170(1), pages 92-101.
    2. Machado, Jose A. F. & Silva, J. M. C. Santos, 2000. "Glejser's test revisited," Journal of Econometrics, Elsevier, vol. 97(1), pages 189-202, July.
    3. Yen-Chi Chen, 2017. "Modal Regression using Kernel Density Estimation: a Review," Papers 1710.07004, arXiv.org, revised Dec 2017.
    4. Masayuki Hirukawa & Mari Sakudo, 2016. "Testing Symmetry of Unknown Densities via Smoothing with the Generalized Gamma Kernels," Econometrics, MDPI, vol. 4(2), pages 1-27, June.
    5. Pedro Delicado & Juan Romo, 1998. "Constant coefficient tests for random coefficient regression," Economics Working Papers 329, Department of Economics and Business, Universitat Pompeu Fabra.
    6. Kendix, Michael & Walls, W.D., 2010. "Oil industry consolidation and refined product prices: Evidence from US wholesale gasoline terminals," Energy Policy, Elsevier, vol. 38(7), pages 3498-3507, July.
    7. LE GALLO, Julie, 2000. "Econométrie spatiale 2 -Hétérogénéité spatiale," LATEC - Document de travail - Economie (1991-2003) 2001-01, LATEC, Laboratoire d'Analyse et des Techniques EConomiques, CNRS UMR 5118, Université de Bourgogne.
    8. Zaman, Asad, 1995. "On the inconsistency of the Breusch-Pagan test," MPRA Paper 9904, University Library of Munich, Germany.
    9. Li, Zhaoyuan & Yao, Jianfeng, 2019. "Testing for heteroscedasticity in high-dimensional regressions," Econometrics and Statistics, Elsevier, vol. 9(C), pages 122-139.
    10. Dufour, Jean-Marie & Khalaf, Lynda & Bernard, Jean-Thomas & Genest, Ian, 2004. "Simulation-based finite-sample tests for heteroskedasticity and ARCH effects," Journal of Econometrics, Elsevier, vol. 122(2), pages 317-347, October.
    11. Romano, Joseph P. & Wolf, Michael, 2017. "Resurrecting weighted least squares," Journal of Econometrics, Elsevier, vol. 197(1), pages 1-19.
    12. Ho, Chi-san & Damien, Paul & Walker, Stephen, 2017. "Bayesian mode regression using mixtures of triangular densities," Journal of Econometrics, Elsevier, vol. 197(2), pages 273-283.
    13. Bodo E. Steiner, 2004. "Australian wines in the British wine market: A hedonic price analysis," Agribusiness, John Wiley & Sons, Ltd., vol. 20(3), pages 287-307.
    14. Apergis, Nicholas, 2015. "Policy risks, technological risks and stock returns: New evidence from the US stock market," Economic Modelling, Elsevier, vol. 51(C), pages 359-365.
    15. repec:eco:journ1:2014-03-08 is not listed on IDEAS
    16. Julie Le Gallo, 2000. "Spatial econometrics (2, Spatial heterogeneity) [Econométrie spatiale (2, Hétérogénéité spatiale)]," Working Papers hal-01526969, HAL.
    17. El-Osta, Hisham S., 2011. "The Impact of Human Capital on Farm Operator Household Income," Agricultural and Resource Economics Review, Northeastern Agricultural and Resource Economics Association, vol. 40(1), pages 1-21, April.
    18. Wooldridge, Jeffrey M., 1990. "A Unified Approach to Robust, Regression-Based Specification Tests," Econometric Theory, Cambridge University Press, vol. 6(1), pages 17-43, March.
    19. Dastoor, Naorayex K., 1997. "Testing for conditional heteroskedasticity with misspecified alternative hypotheses," Journal of Econometrics, Elsevier, vol. 82(1), pages 63-80.
    20. Pamela Ragazzi, 2012. "Climate Change and Migration: A Gravity Model Approach," Working Papers 2012031, University of Ferrara, Department of Economics.
    21. Christopher F Baum & Mark E. Schaffer & Steven Stillman, 2003. "Instrumental variables and GMM: Estimation and testing," Stata Journal, StataCorp LP, vol. 3(1), pages 1-31, March.

    More about this item

    Keywords

    Heteroskedasticity; Iteratively reweighted least squares; M-estimator; Mode regression; rreg; Skewness;
    All these keywords.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecolet:v:114:y:2012:i:1:p:124-127. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ecolet .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.