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Is the Spurious Regression Problem Spurious?

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  • Bennett T. McCallum

Abstract

So-called "spurious regression" relationships between random-walk (or strongly autoregressive) variables are generally accompanied by clear signs of severe autocorrelation in their residuals. A conscientious researcher would therefore not end an investigation with such a result, but would likely re-estimate with an autocorrelation correction. Simulations show, for several typical cases, that the test-rejection statistics for the re-estimated relationships are very close to the true values, so do not yield results of the spurious type.

Suggested Citation

  • Bennett T. McCallum, 2010. "Is the Spurious Regression Problem Spurious?," NBER Working Papers 15690, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:15690 Note: EFG ME TWP
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    References listed on IDEAS

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    1. Clive Granger & Namwon Hyung & Yongil Jeon, 2001. "Spurious regressions with stationary series," Applied Economics, Taylor & Francis Journals, vol. 33(7), pages 899-904.
    2. Granger, C. W. J. & Newbold, P., 1974. "Spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 2(2), pages 111-120, July.
    3. Davidson, Russell & MacKinnon, James G., 1993. "Estimation and Inference in Econometrics," OUP Catalogue, Oxford University Press, number 9780195060119.
    4. Bennett T. McCallum, 1993. "Unit roots in macroeconomic time series: some critical issues," Economic Quarterly, Federal Reserve Bank of Richmond, issue Spr, pages 13-44.
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    Cited by:

    1. Sollis, Robert, 2011. "Spurious regression: A higher-order problem," Economics Letters, Elsevier, vol. 111(2), pages 141-143, May.
    2. Jin, Hao & Zhang, Jinsuo & Zhang, Si & Yu, Cong, 2013. "The spurious regression of AR(p) infinite-variance sequence in the presence of structural breaks," Computational Statistics & Data Analysis, Elsevier, pages 25-40.
    3. Daniel Ventosa-Santaulària & J. Eduardo Vera-Valdés & Alejandra I. Martínez-Olmos, 2016. "A comment on ‘resolving spurious regressions and serially correlated errors’," Empirical Economics, Springer, pages 1289-1298.
    4. Tu, Yundong, 2017. "On spurious regressions with partial unit root processes," Economics Letters, Elsevier, vol. 150(C), pages 142-145.
    5. Martínez-Rivera, Berenice & Ventosa-Santaulària, Daniel, 2012. "A comment on ‘Is the spurious regression problem spurious?’," Economics Letters, Elsevier, vol. 115(2), pages 229-231.
    6. Zhang, Lingxiang, 2013. "Partial unit root and linear spurious regression: A Monte Carlo simulation study," Economics Letters, Elsevier, vol. 118(1), pages 189-191.
    7. Vyrost, Tomas & Baumöhl, Eduard & Lyocsa, Stefan, 2013. "What Drives the Stock Market Integration in the CEE-3?," EconStor Open Access Articles, ZBW - German National Library of Economics, pages 67-81.
    8. Gueorgui I. Kolev, 2011. "The "spurious regression problem" in the classical regression model framework," Economics Bulletin, AccessEcon, vol. 31(1), pages 925-937.

    More about this item

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C29 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Other

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