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A New Hausmann Type Test to Detect the Presence of Influential Outliers


  • Catherine Dehon
  • Marjorie Gassner
  • Vincenzo Verardi


In the presence of outliers in a dataset, a least squares estimation may not be the most adequate choice to get representative results. Indeed estimations could have been excessively infuenced even by a very limited number of atypical observations. In this article, we propose a new Hausman-type test to check for this. The test is based on the trade-off between robustness and effciency and allows to conclude if a least squares estimation is appropriate or if a robust method should be preferred. An economic example is provided to illustrate the usefulness of the test.

Suggested Citation

  • Catherine Dehon & Marjorie Gassner & Vincenzo Verardi, 2008. "A New Hausmann Type Test to Detect the Presence of Influential Outliers," Working Papers ECARES 2008_006, ULB -- Universite Libre de Bruxelles.
  • Handle: RePEc:eca:wpaper:2008_006

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    References listed on IDEAS

    1. Estache, Antonio & Iimi, Atsushi, 2008. "Procurement efficiency for infrastructure development and financial needs reassessed," Policy Research Working Paper Series 4662, The World Bank.
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    4. Eric Maskin & John Riley, 2000. "Asymmetric Auctions," Review of Economic Studies, Oxford University Press, vol. 67(3), pages 413-438.
    5. Tong Li & Xiaoyong Zheng, 2009. "Entry and Competition Effects in First-Price Auctions: Theory and Evidence from Procurement Auctions," Review of Economic Studies, Oxford University Press, vol. 76(4), pages 1397-1429.
    6. Omar Arias & Walter Sosa-Escudero & Kevin F. Hallock, 2001. "Individual heterogeneity in the returns to schooling: instrumental variables quantile regression using twins data," Empirical Economics, Springer, vol. 26(1), pages 7-40.
    7. McAfee, R. Preston & McMillan, John, 1987. "Auctions with entry," Economics Letters, Elsevier, vol. 23(4), pages 343-347.
    8. Atsushi Iimi, 2006. "Auction Reforms for Effective Official Development Assistance," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 28(2), pages 109-128, March.
    9. Benitez Daniel & Estache Antonio, 2005. "How Concentrated are Global Infrastructure Markets?," Review of Network Economics, De Gruyter, vol. 4(3), pages 1-23, September.
    10. Zheng, Charles Z., 2001. "High Bids and Broke Winners," Journal of Economic Theory, Elsevier, vol. 100(1), pages 129-171, September.
    11. Flyvbjerg, Bent & Holm, Mette Skamris & Buhl, Søren, 2006. "Underestimating Costs in Public Works Projects: Error or Lie?," University of California Transportation Center, Working Papers qt98r01936, University of California Transportation Center.
    12. Antonio Estache & Atsushi Iimi, 2009. "Joint Bidding, Governance And Public Procurement Costs:A Case Of Road Projects ," Annals of Public and Cooperative Economics, Wiley Blackwell, vol. 80(3), pages 393-429, September.
    13. Tong Li & Isabelle Perrigne, 2003. "Timber Sale Auctions with Random Reserve Prices," The Review of Economics and Statistics, MIT Press, vol. 85(1), pages 189-200, February.
    14. Steven Tadelis, 2009. "Auctions Versus Negotiations in Procurement: An Empirical Analysis," Journal of Law, Economics, and Organization, Oxford University Press, vol. 25(2), pages 372-399, October.
    15. De Silva, Dakshina G. & Dunne, Timothy & Kosmopoulou, Georgia, 2002. "Sequential bidding in auctions of construction contracts," Economics Letters, Elsevier, vol. 76(2), pages 239-244, July.
    16. Benjamin A. Olken, 2007. "Monitoring Corruption: Evidence from a Field Experiment in Indonesia," Journal of Political Economy, University of Chicago Press, vol. 115, pages 200-249.
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    Cited by:

    1. A. García-Pérez, 2014. "The p value line: a way to choose the tuning constant in tests based on the Huber $${\varvec{M}}$$ M -estimator," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(3), pages 536-555, September.
    2. Quentin Max David, 2013. "Determinants of Research Production at Top Universities," iCite Working Papers 2014-007, ULB -- Universite Libre de Bruxelles.
    3. David Quentin, 2013. "Determinants of Research Production at Top US Universities," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 14(1), pages 81-109, December.
    4. Quentin David, 2009. "The Determinants of Research Production by U.S. Universities," CREA Discussion Paper Series 09-16, Center for Research in Economic Analysis, University of Luxembourg.
    5. Catherine Dehon & Marjorie Gassner & Vincenzo Verardi, 2011. "Extending the Hausman Test to Check for the presence of Outliers," Working Papers ECARES ECARES 2011-036, ULB -- Universite Libre de Bruxelles.

    More about this item


    Effciency; Hausman Test; Linear Regression; Outliers; 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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