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Robustness or Efficiency, A Test to Solve the Dilemma

Author

Listed:
  • Catherine Dehon

    (ECARES-ULB)

  • Marjorie Gassner

    (ECARES-ULB)

  • Vincenzo Verardi

    (ECARES-ULB)

Abstract

When dealing with the presence of outliers in a dataset, the problem of choosing between the classical ordinary least squares and robust regression methods is sometimes addressed inadequately. In this article, we propose using a Hausman-type test to determine whether a robust S- estimator is more appropriate than an ordinary least squares one in a multiple linear regression framework, on the basis of the trade-off betewen robustness and efficiency. An economic example is provided to illustrate the usefulness of the test.

Suggested Citation

  • Catherine Dehon & Marjorie Gassner & Vincenzo Verardi, 2005. "Robustness or Efficiency, A Test to Solve the Dilemma," Econometrics 0508011, EconWPA.
  • Handle: RePEc:wpa:wuwpem:0508011
    Note: Type of Document - pdf; pages: 30
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    File URL: http://econwpa.repec.org/eps/em/papers/0508/0508011.pdf
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    References listed on IDEAS

    as
    1. Wu, De-Min, 1973. "Alternative Tests of Independence Between Stochastic Regressors and Disturbances," Econometrica, Econometric Society, vol. 41(4), pages 733-750, July.
    2. Hausman, Jerry, 2015. "Specification tests in econometrics," Applied Econometrics, Publishing House "SINERGIA PRESS", vol. 38(2), pages 112-134.
    3. Christophe Croux & Stefan Aelst & Catherine Dehon, 2003. "Bounded influence regression using high breakdown scatter matrices," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 55(2), pages 265-285, June.
    4. 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.
    5. Holly, Alberto, 1982. "A Remark on Hausman's Specification Test," Econometrica, Econometric Society, vol. 50(3), pages 749-759, May.
    6. Hausman, Jerry A. & Taylor, William E., 1981. "A generalized specification test," Economics Letters, Elsevier, vol. 8(3), pages 239-245.
    7. J. Bradford De Long & Lawrence H. Summers, "undated". "How Strongly Do Developing Countries Benefit from Equipment Investment?," J. Bradford De Long's Working Papers _108, University of California at Berkeley, Economics Department.
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    Cited by:

    1. Catherine Dehon & Marjorie Gassner & Vincenzo Verardi, 2009. "Beware of 'Good' Outliers and Overoptimistic Conclusions," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 71(3), pages 437-452, June.

    More about this item

    Keywords

    Efficiency; Hausman Test; Linear Regression; Robustness; S- estimator;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General

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