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An Asymptotically F-Distributed Chow Test in the Presence of Heteroscedasticity and Autocorrelation

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  • Yixiao Sun
  • Xuexin Wang

Abstract

This study proposes a simple, trustworthy Chow test in the presence of heteroscedasticity and autocorrelation. The test is based on a series heteroscedasticity and autocorrelation robust variance estimator with judiciously crafted basis functions. Like the Chow test in a classical normal linear regression, the proposed test employs the standard F distribution as the reference distribution, which is justified under fixed-smoothing asymptotics. Monte Carlo simulations show that the null rejection probability of the asymptotic F test is closer to the nominal level than that of the chi-square test.

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  • Yixiao Sun & Xuexin Wang, 2019. "An Asymptotically F-Distributed Chow Test in the Presence of Heteroscedasticity and Autocorrelation," Papers 1911.03771, arXiv.org.
    • Handle: RePEc:arx:papers:1911.03771
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    References listed on IDEAS

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    8. Eben Lazarus & Daniel J. Lewis & James H. Stock & Mark W. Watson, 2018. "HAR Inference: Recommendations for Practice Rejoinder," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 36(4), pages 574-575, October.
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    12. 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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