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Finite Sample Effects Of Pure Seasonal Mean Shifts On Dickey–Fuller Tests: A Simulation Study

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  • ARTUR C. B. DA SILVA LOPES

Abstract

In this paper, it is demonstrated by simulation that, contrary to a widely held belief, pure seasonal mean shifts—i.e. seasonal structural breaks which affect only the seasonal cycle—really do matter for Dickey–Fuller long‐run unit root tests. Both size and power properties are affected by such breaks but using the t‐sig method for lag selection induces a stabilizing effect. Although most results are reassuring when the t‐sig method is used, some concern with this type of breaks cannot be disregarded. Further evidence on the poor performance of the t‐sig method for quarterly time series in standard (no‐break) cases is also presented.

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  • Artur C. B. Da Silva Lopes, 2008. "Finite Sample Effects Of Pure Seasonal Mean Shifts On Dickey–Fuller Tests: A Simulation Study," Manchester School, University of Manchester, vol. 76(5), pages 528-538, September.
    • Handle: RePEc:bla:manchs:v:76:y:2008:i:5:p:528-538
    DOI: 10.1111/j.1467-9957.2008.01074.x
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    References listed on IDEAS

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    1. Nelson, Charles R & Piger, Jeremy & Zivot, Eric, 2001. "Markov Regime Switching and Unit-Root Tests," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(4), pages 404-415, October.
    2. da Silva Lopes, Artur C. B., 2001. "The robustness of tests for seasonal differencing to structural breaks," Economics Letters, Elsevier, vol. 71(2), pages 173-179, May.
    3. Franses, Philip Hans & Haldrup, Niels, 1994. "The Effects of Additive Outliers on Tests for Unit Roots and Cointegration," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(4), pages 471-478, October.
    4. Philip Hans Franses & Timothy J. Vogelsang, 1998. "On Seasonal Cycles, Unit Roots, And Mean Shifts," The Review of Economics and Statistics, MIT Press, vol. 80(2), pages 231-240, May.
    5. Schwert, G William, 2002. "Tests for Unit Roots: A Monte Carlo Investigation," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 5-17, January.
    6. Balcombe, Kelvin, 1999. "Seasonal Unit Root Tests with Structural Breaks in Deterministic Seasonality," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(4), pages 569-582, November.
    7. Stephen J. Leybourne And Paul Newbold, 2000. "Behaviour of the standard and symmetric Dickey-Fuller-type tests when there is a break under the null hypothesis," Econometrics Journal, Royal Economic Society, vol. 3(1), pages 1-15.
    8. A. M. R. Taylor, 2000. "The Finite Sample Effects of Deterministic Variables on Conventional Methods of Lag‐selection in Unit Root Tests," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 62(2), pages 293-304, May.
    9. Smith, Jeremy & Otero, Jesus, 1997. "Structural breaks and seasonal integration," Economics Letters, Elsevier, vol. 56(1), pages 13-19, September.
    10. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    11. Matei Demetrescu & Uwe Hassler, 2007. "Effect of neglected deterministic seasonality on unit root tests," Statistical Papers, Springer, vol. 48(3), pages 385-402, September.
    12. Kelvin Balcombe, 1999. "Seasonal Unit Root Tests with Structural Breaks in Deterministic Seasonality," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(4), pages 569-582, November.
    13. Uwe Hassler & Paulo M. M. Rodrigues, 2004. "Seasonal Unit Root Tests Under Structural Breaks," Journal of Time Series Analysis, Wiley Blackwell, vol. 25(1), pages 33-53, January.
    14. Leybourne, Stephen J. & C. Mills, Terence & Newbold, Paul, 1998. "Spurious rejections by Dickey-Fuller tests in the presence of a break under the null," Journal of Econometrics, Elsevier, vol. 87(1), pages 191-203, August.
    15. Harvey, David I. & Leybourne, Stephen J. & Newbold, Paul, 2002. "Seasonal unit root tests with seasonal mean shifts," Economics Letters, Elsevier, vol. 76(2), pages 295-302, July.
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