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Increasing the power of specification tests

Author

Listed:
  • Tiemen M. Woutersen

    (Institute for Fiscal Studies and John Hopkins University)

  • Jerry Hausman

    (Institute for Fiscal Studies and MIT)

Abstract

This paper shows how to increase the power of Hausman?s (1978) specification test as well as the difference test in a large class of models. The idea is to impose the restrictions of the null and the alternative hypotheses when estimating the covariance matrix. If the null hypothesis is true then the proposed test has the same distribution as the existing ones in large samples. If the hypothesis is false then the proposed test statistic is larger with probability approaching one as the sample size increases in several important applications, including testing for endogeneity in the linear model.

Suggested Citation

  • Tiemen M. Woutersen & Jerry Hausman, 2018. "Increasing the power of specification tests," CeMMAP working papers CWP46/18, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    • Handle: RePEc:ifs:cemmap:46/18
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    File URL: https://www.ifs.org.uk/uploads/cemmap/wps/CWP461818.pdf
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    References listed on IDEAS

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    6. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, December.
    7. Hausman, Jerry, 2015. "Specification tests in econometrics," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 38(2), pages 112-134.
    8. Douglas Staiger & James H. Stock, 1997. "Instrumental Variables Regression with Weak Instruments," Econometrica, Econometric Society, vol. 65(3), pages 557-586, May.
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    13. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
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    Cited by:

    1. Enrico Fabrizi & Chiara Mussida, 2020. "Assessing poverty persistence in households with children," The Journal of Economic Inequality, Springer;Society for the Study of Economic Inequality, vol. 18(4), pages 551-569, December.

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    More about this item

    Keywords

    Specification test; Hausman test; Power of tests;
    All these keywords.

    JEL classification:

    • C01 - Mathematical and Quantitative Methods - - General - - - Econometrics
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C18 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Methodolical Issues: General
    • C41 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Duration Analysis; Optimal Timing Strategies

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