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Nonsense regressions due to time-varying means

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  • Hassler, Uwe

Abstract

Regressions of two independent time senes are considered. The variables are covariance stationary but display time-varying although not trending means. Two prominent examples are mean shifts due to structural breaks and seasonally varying means. If the variation of the means is not taken into account, this induces nonsense correlation. The asymptotic treatment is supplemented by experimental evidence.

Suggested Citation

  • Hassler, Uwe, 1999. "Nonsense regressions due to time-varying means," DES - Working Papers. Statistics and Econometrics. WS 6361, Universidad Carlos III de Madrid. Departamento de Estadística.
  • Handle: RePEc:cte:wsrepe:6361
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    1. Phillips, P.C.B., 1986. "Understanding spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 33(3), pages 311-340, December.
    2. Choi, In, 1994. "Spurious regressions and residual-based tests for cointegration when regressors are cointegrated," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 313-320.
    3. Haldrup, Niels, 1994. "The asymptotics of single-equation cointegration regressions with I(1) and I(2) variables," Journal of Econometrics, Elsevier, vol. 63(1), pages 153-181, July.
    4. Perron, Pierre, 1990. "Testing for a Unit Root in a Time Series with a Changing Mean," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 153-162, April.
    5. Marmol, Francesc, 1996. "Nonsense Regressions between Integrated Processes of Different Orders," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(3), pages 525-536, August.
    6. Granger, C. W. J. & Newbold, P., 1974. "Spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 2(2), pages 111-120, July.
    7. Perron, Pierre & Vogelsang, Timothy J, 1992. "Testing for a Unit Root in a Time Series with a Changing Mean: Corrections and Extensions," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(4), pages 467-470, October.
    8. Abeysinghe, Tilak, 1991. "Inappropriate use of seasonal dummies in regression," Economics Letters, Elsevier, vol. 36(2), pages 175-179, June.
    9. Hassler, Uwe, 1996. "Spurious regressions when stationary regressors are included," Economics Letters, Elsevier, vol. 50(1), pages 25-31, January.
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