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Extending the Hausman Test to Check for the presence of Outliers

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Listed:
  • Catherine Dehon
  • Marjorie Gassner
  • Vincenzo Verardi

Abstract

In this paper, we follow the same logic as in Hausman (1978) to create a testing procedure that checks for the presence of outliers by comparing a regression estimator that is robust to outliers (S-estimator), with another that is more e¢ cient but a¤ected by them. Some simulations are presented to illustrate the good behavior of the test for both its size and its power.

Suggested Citation

  • 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.
    • Handle: RePEc:eca:wpaper:2013/102578
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    References listed on IDEAS

    as
    1. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    2. 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.
    3. Christophe Croux & Geert Dhaene & Dirk Hoorelbeke, 2003. "Robust Standard Errors for Robust Estimators," Working Papers of Department of Economics, Leuven ces0316, KU Leuven, Faculty of Economics and Business (FEB), Department of Economics, Leuven.
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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. Marco Riani & Andrea Cerioli & Francesca Torti, 2014. "On consistency factors and efficiency of robust S-estimators," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(2), pages 356-387, June.
    3. Robert L Cohen & John Murray & Susan Jack & Sharon Arscott-Mills & Vincenzo Verardi, 2017. "Impact of multisectoral health determinants on child mortality 1980–2010: An analysis by country baseline mortality," PLOS ONE, Public Library of Science, vol. 12(12), pages 1-16, December.
    4. Gani Aldashev & François Libois & Joaquín Morales Belpaire & Astrid Similon, 2014. "Encouraging Private Ownership of Public Goods: Theory and Evidence from Belgium," Working Papers 1408, University of Namur, Department of Economics.

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    More about this item

    Keywords

    S-estimators; MM-estimators; Outliers; Linear regression; Generalized Method of Moments; Robustness;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • H11 - Public Economics - - Structure and Scope of Government - - - Structure and Scope of Government

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