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More Efficient Tests Robust to Heteroskedasticity of Unknown Form

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  • Emmanuel Flachaire

Abstract

In the presence of heteroskedasticity of unknown form, the Ordinary Least Squares parameter estimator becomes inefficient, and its covariance matrix estimator inconsistent. Eicker (1963) and White (1980) were the first to propose a robust consistent covariance matrix estimator, that permits asymptotically correct inference. This estimator is widely used in practice. Cragg (1983) proposed a more efficient estimator, but concluded that tests basd on it are unreliable. Thus, this last estimator has not been used in practice. This article is concerned with finite sample properties of tests robust to heteroskedasticity of unknown form. Our results suggest that reliable and more efficient tests can be obtained with the Cragg estimators in small samples.

Suggested Citation

  • Emmanuel Flachaire, 2005. "More Efficient Tests Robust to Heteroskedasticity of Unknown Form," Econometric Reviews, Taylor & Francis Journals, vol. 24(2), pages 219-241.
    • Handle: RePEc:taf:emetrv:v:24:y:2005:i:2:p:219-241
    DOI: 10.1081/ETC-200067942
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    Cited by:

    1. Pötscher, Benedikt M. & Preinerstorfer, David, 2023. "How Reliable Are Bootstrap-Based Heteroskedasticity Robust Tests?," Econometric Theory, Cambridge University Press, vol. 39(4), pages 789-847, August.
    2. Trindade, Federico J. & Fulginiti, Lilyan E. & Perrin, Richard K., "undated". "A half century of yield growth along the forty-first parallel of the Great Plains: factor intensification, irrigation, weather, and technical change," Staff Papers 305568, University of Nebraska-Lincoln, Department of Agricultural Economics.
    3. Pötscher, Benedikt M. & Preinerstorfer, David, 2025. "Valid Heteroskedasticity Robust Testing," Econometric Theory, Cambridge University Press, vol. 41(2), pages 249-301, April.
    4. Eric S. Lin & Ta-Sheng Chou, 2018. "Finite-sample refinement of GMM approach to nonlinear models under heteroskedasticity of unknown form," Econometric Reviews, Taylor & Francis Journals, vol. 37(1), pages 1-28, January.
    5. Chen Cao & Xueyun Chen, 2021. "Can Industrial Integration Improve the Sustainability of Grain Security?," Sustainability, MDPI, vol. 13(24), pages 1-17, December.
    6. Trindade, F. & Fulginiti, L. & Perrin, R., 2018. "Irrigation and Climate Effects on Land Productivity in the U.S. Central Plains," 2018 Conference, July 28-August 2, 2018, Vancouver, British Columbia 277264, International Association of Agricultural Economists.
    7. Olivier Armantier, 2006. "Estimates of Own Lethal Risks and Anchoring Effects," Journal of Risk and Uncertainty, Springer, vol. 32(1), pages 37-56, January.
    8. Torben Klarl, 2014. "Is Spatial Bootstrapping A Panacea For Valid Inference?," Journal of Regional Science, Wiley Blackwell, vol. 54(2), pages 304-312, March.

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