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Robustness or Efficiency, A Test to Solve the Dilemma

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Author Info
Catherine Dehon (ECARES-ULB)
Marjorie Gassner (ECARES-ULB)
Vincenzo Verardi (ECARES-ULB)

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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.

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Publisher Info
Paper provided by EconWPA in its series Econometrics with number 0508011.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 30 pages
Date of creation: 08 Aug 2005
Date of revision:
Handle: RePEc:wpa:wuwpem:0508011

Note: Type of Document - pdf; pages: 30
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Web page: http://129.3.20.41

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Related research
Keywords: Efficiency; Hausman Test; Linear Regression; Robustness; S- estimator;

Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Estimation

This paper has been announced in the following NEP Reports:

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.:
  1. Wu, De-Min, 1973. "Alternative Tests of Independence Between Stochastic Regressors and Disturbances," Econometrica, Econometric Society, vol. 41(4), pages 733-50, July. [Downloadable!] (restricted)
  2. 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. [Downloadable!] (restricted)
  3. J. Bradford De Long & Lawrence H. Summers, . "How Strongly Do Developing Countries Benefit from Equipment Investment?," J. Bradford De Long's Working Papers _108, University of California at Berkeley, Economics Department. [Downloadable!]
  4. Hausman, Jerry A, 1978. "Specification Tests in Econometrics," Econometrica, Econometric Society, vol. 46(6), pages 1251-71, November. [Downloadable!] (restricted)
  5. Holly, Alberto, 1982. "A Remark on Hausman's Specification Test," Econometrica, Econometric Society, vol. 50(3), pages 749-59, May. [Downloadable!] (restricted)
  6. Christophe Croux & Stefan Aelst & Catherine Dehon, 2003. "Bounded influence regression using high breakdown scatter matrices," Annals of the Institute of Statistical Mathematics, Springer, vol. 55(2), pages 265-285, June. [Downloadable!] (restricted)
  7. Hausman, Jerry A. & Taylor, William E., 1981. "A generalized specification test," Economics Letters, Elsevier, vol. 8(3), pages 239-245. [Downloadable!] (restricted)
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