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A comment on ‘resolving spurious regressions and serially correlated errors’

Author

Listed:
  • Daniel Ventosa-Santaulària

    (Centro de Investigación y Docencia Económicas (CIDE))

  • J. Eduardo Vera-Valdés

    (CREATES and Aarhus University)

  • Alejandra I. Martínez-Olmos

    (Universidad de Guanajuato)

Abstract

In order to diminish size distortions of the t test in a time series linear specification, Agiakloglou (Agiakloglou in Empir Econ, 45(3):1361–1366, 2013) proposed to (1) include the first lag of the dependent variable as a regressor or (2) estimate it using the first differences of the variables. He provided finite-sample evidence to support his proposal. In this paper, we extend the Monte Carlo experiment to different data-generating processes and calculate the asymptotic behavior of the modified specifications. We show that including the lag of the dependent variable as a regressor reduces size distortions when the variables are driftless unit roots, but this approach does not hold under the presence of long memory, nonlinearities, or structural breaks.

Suggested Citation

  • 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, vol. 51(3), pages 1289-1298, November.
    • Handle: RePEc:spr:empeco:v:51:y:2016:i:3:d:10.1007_s00181-015-1035-7
    DOI: 10.1007/s00181-015-1035-7
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    References listed on IDEAS

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    1. McCallum, Bennett T., 2010. "Is the spurious regression problem spurious?," Economics Letters, Elsevier, vol. 107(3), pages 321-323, June.
    2. 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.
    3. Gueorgui I. Kolev, 2011. "The "spurious regression problem" in the classical regression model framework," Economics Bulletin, AccessEcon, vol. 31(1), pages 925-937.
    4. Phillips, P.C.B., 1986. "Understanding spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 33(3), pages 311-340, December.
    5. Granger, C. W. J. & Newbold, P., 1974. "Spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 2(2), pages 111-120, July.
    6. Christos Agiakloglou, 2013. "Resolving spurious regressions and serially correlated errors," Empirical Economics, Springer, vol. 45(3), pages 1361-1366, December.
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