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Testing for seasonal unit roots in heterogeneous panels using monthly data in the presence of cross sectional dependence

Author

Listed:
  • Otero, Jesús

    (Facultad de Economía, Universidad del Rosario)

  • Smith, Jeremy

    (Department of Economics,University of Warwick)

  • Giulietti, Monica

    (Aston Business School, University of Aston)

Abstract

This paper generalises the monthly seasonal unit root tests of Franses (1991) for a heterogeneous panel following the work of Im, Pesaran, and Shin (2003), which we refer to as the F-IPS tests. The paper presents the mean and variance necessary to yield a standard normal distribution for the tests, for different number of time observations, T, and lag lengths. However, these tests are only applicable in the absence of cross-sectional dependence. Two alternative methods for modifying these F-IPS tests in the presence of cross-sectional dependency are presented : the first is the cross-sectionally augmented test,denoted CF-IPS, following Pesaran (2007), the other is a bootstap method, denoted BF-IPS. In general, the BF-IPS tests have greater power than the CF-IPS tests, although for large T and high degree of cross-sectional dependency the CF-IPS test dominates the BF-IPS test.

Suggested Citation

  • Otero, Jesús & Smith, Jeremy & Giulietti, Monica, 2008. "Testing for seasonal unit roots in heterogeneous panels using monthly data in the presence of cross sectional dependence," The Warwick Economics Research Paper Series (TWERPS) 865, University of Warwick, Department of Economics.
    • Handle: RePEc:wrk:warwec:865
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    References listed on IDEAS

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    1. Franses, Philip Hans, 1991. "Seasonality, non-stationarity and the forecasting of monthly time series," International Journal of Forecasting, Elsevier, vol. 7(2), pages 199-208, August.
    2. Otero, Jesus & Smith, Jeremy & Giulietti, Monica, 2007. "Testing for seasonal unit roots in heterogeneous panels in the presence of cross section dependence," Economics Letters, Elsevier, vol. 97(2), pages 179-184, November.
    3. Chang, Yoosoon, 2004. "Bootstrap unit root tests in panels with cross-sectional dependency," Journal of Econometrics, Elsevier, vol. 120(2), pages 263-293, June.
    4. Joseph Beaulieu, J. & Miron, Jeffrey A., 1993. "Seasonal unit roots in aggregate U.S. data," Journal of Econometrics, Elsevier, vol. 55(1-2), pages 305-328.
    5. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July.
    6. Maddala, G S & Wu, Shaowen, 1999. "A Comparative Study of Unit Root Tests with Panel Data and a New Simple Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(0), pages 631-652, Special I.
    7. Hylleberg, S. & Engle, R. F. & Granger, C. W. J. & Yoo, B. S., 1990. "Seasonal integration and cointegration," Journal of Econometrics, Elsevier, vol. 44(1-2), pages 215-238.
    8. Otero, Jesus & Smith, Jeremy & Giulietti, Monica, 2005. "Testing for seasonal unit roots in heterogeneous panels," Economics Letters, Elsevier, vol. 86(2), pages 229-235, February.
    9. M. Hashem Pesaran, 2007. "A simple panel unit root test in the presence of cross-section dependence," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 265-312.
    10. Christian Dreger* & Hans-Eggert Reimers, 2005. "Panel Seasonal Unit Root Test: Further Simulation Results and An Application to Unemployment Data," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 89(3), pages 321-337, August.
    11. Ghysels,Eric & Osborn,Denise R., 2001. "The Econometric Analysis of Seasonal Time Series," Cambridge Books, Cambridge University Press, number 9780521565882.
    12. Philip Hans Franses & Bart Hobijn, 1997. "Critical values for unit root tests in seasonal time series," Journal of Applied Statistics, Taylor & Francis Journals, vol. 24(1), pages 25-48.
    13. G. S. Maddala & Shaowen Wu, 1999. "A Comparative Study of Unit Root Tests with Panel Data and a New Simple Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(S1), pages 631-652, November.
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    Cited by:

    1. Hsu Shih-Hsun, 2021. "Disentangling the source of non-stationarity in a panel of seasonal data," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 25(1), pages 1-18, February.

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    More about this item

    Keywords

    Panel unit root tests ; seasonal unit roots ; monthly data ; cross sectional dependence ; Monte Carlo;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

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