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Leverage and covariance matrix estimation in finite-sample IV regressions

Author

Listed:
  • Andreas Steinhauer
  • Tobias Wuergler

Abstract

This paper develops basic algebraic concepts for instrumental variables (IV) regressions which are used to derive the leverage and influence of observations on the 2SLS estimate and compute alternative heteroskedasticity-consistent (HC1, HC2 and HC3) estimators for the 2SLS covariance matrix in a finite-sample context. Monte Carlo simulations and applications to growth regressions are used to evaluate the performance of these estimators. The results support the use of HC3 instead of White�s robust standard errors in small and unbalanced data sets. The leverage and influence of observations can be examined with the various measures derived in the paper.

Suggested Citation

  • Andreas Steinhauer & Tobias Wuergler, 2010. "Leverage and covariance matrix estimation in finite-sample IV regressions," IEW - Working Papers 521, Institute for Empirical Research in Economics - University of Zurich.
  • Handle: RePEc:zur:iewwpx:521
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    File URL: https://www.econ.uzh.ch/apps/workingpapers/wp/iewwp521.pdf
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    Citations

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    Cited by:

    1. Romano, Joseph P. & Wolf, Michael, 2017. "Resurrecting weighted least squares," Journal of Econometrics, Elsevier, vol. 197(1), pages 1-19.
    2. Damian Kozbur, 2017. "Testing-Based Forward Model Selection," American Economic Review, American Economic Association, vol. 107(5), pages 266-269, May.
    3. Maurice J.G. Bun & Teresa D. Harrison, 2014. "OLS and IV estimation of regression models including endogenous interaction terms," UvA-Econometrics Working Papers 14-02, Universiteit van Amsterdam, Dept. of Econometrics.
    4. Sin, C.Y. (Chor-yiu) & Lee, Cheng-Few, 2021. "Using heteroscedasticity-non-consistent or heteroscedasticity-consistent variances in linear regression," Econometrics and Statistics, Elsevier, vol. 18(C), pages 117-142.

    More about this item

    Keywords

    Two stage least squares; leverage; influence; heteroskedasticity-consistent covariance matrix estimation;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C26 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Instrumental Variables (IV) Estimation

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