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Panel Stationarity Test with Structural Breaks

  • Kaddour Hadri
  • Yao Rao

    ()

    (Management School, University of Liverpool, UK)

In this paper, we extend the heterogeneous panel data stationarity test of Hadri (2000) to the cases where breaks are taken into account. Four models with different patterns of breaks under the null hypothesis are specified. The moments of the statistics corresponding to the four models are derived in closed form via characteristic functions. We also provide the exact moments of a modified statistic that does not asymptotically depend on the location of the break point under the null hypothesis. The cases where the break point is unknown are also considered. For the model with breaks in the level and no time trend and for the model with breaks in the level and in the time trend, we can allow for the number of breaks and their positions to differ across individuals for cases with known, unknown breaks and the modified statistic. The asymptotic distributions of all the statistics proposed are derived under the null hypothesis and are shown to be normally distributed. Finally, we show by simulations that our suggested tests have good performance in finite samples.

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File URL: http://www.liv.ac.uk/managementschool/research/working%20papers/wp200615.pdf
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Paper provided by University of Liverpool Management School in its series Research Papers with number 200615.

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Length: 31 pages
Date of creation: 2006
Date of revision:
Handle: RePEc:liv:livedp:200615
Contact details of provider: Postal: Management School University of Liverpool, Chatham Street, Liverpool, L69 7ZH, Great Britain
Phone: +44(0)151 795 3108
Fax: +44(0)151 795 3004
Web page: http://www.liv.ac.uk/management/

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  1. Peter C. B. Phillips & Hyungsik R. Moon, 1999. "Linear Regression Limit Theory for Nonstationary Panel Data," Econometrica, Econometric Society, vol. 67(5), pages 1057-1112, September.
  2. Quah, D., 1993. "Exploiting Cross Section Variation for Unit Root Inference in Dynamic Data," Papers 549, Stockholm - International Economic Studies.
  3. 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 631-52, Special I.
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  5. Fabio Busetti & Andrew Harvey, 2003. "Further Comments On Stationarity Tests In Series With Structural Breaks At Unknown Points," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(2), pages 137-140, 03.
  6. repec:cep:stiecm:/1998/365 is not listed on IDEAS
  7. Levin, Andrew & Lin, Chien-Fu & James Chu, Chia-Shang, 2002. "Unit root tests in panel data: asymptotic and finite-sample properties," Journal of Econometrics, Elsevier, vol. 108(1), pages 1-24, May.
  8. Kurozumi, Eiji, 2002. "Testing for stationarity with a break," Journal of Econometrics, Elsevier, vol. 108(1), pages 63-99, May.
  9. Pasaran, M.H. & Im, K.S. & Shin, Y., 1995. "Testing for Unit Roots in Heterogeneous Panels," Cambridge Working Papers in Economics 9526, Faculty of Economics, University of Cambridge.
  10. Abadir, Karim M., 1993. "Ols Bias in a Nonstationary Autoregression," Econometric Theory, Cambridge University Press, vol. 9(01), pages 81-93, January.
  11. Abadir, Karim M & Hadri, Kaddour, 2000. "Is More Information a Good Thing? Bias Nonmonotonicity in Stochastic Difference Equations," Bulletin of Economic Research, Wiley Blackwell, vol. 52(2), pages 91-100, April.
  12. Kyung-So Im & Junsoo Lee & Margie Tieslau, 2005. "Panel LM Unit-root Tests with Level Shifts," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(3), pages 393-419, 06.
  13. Lee, Junsoo & Huang, Cliff J. & Shin, Yongcheol, 1997. "On stationary tests in the presence of structural breaks," Economics Letters, Elsevier, vol. 55(2), pages 165-172, August.
  14. Denis Kwiatkowski & Peter C.B. Phillips & Peter Schmidt, 1991. "Testing the Null Hypothesis of Stationarity Against the Alternative of a Unit Root: How Sure Are We That Economic Time Series Have a Unit Root?," Cowles Foundation Discussion Papers 979, Cowles Foundation for Research in Economics, Yale University.
  15. Badi H. Baltagi & Chihwa Kao, 2000. "Nonstationary Panels, Cointegration in Panels and Dynamic Panels: A Survey," Center for Policy Research Working Papers 16, Center for Policy Research, Maxwell School, Syracuse University.
  16. Josep Llu�s Carrion-i-Silvestre & Tom�s del Barrio-Castro & Enrique L�pez-Bazo, 2005. "Breaking the panels: An application to the GDP per capita," Econometrics Journal, Royal Economic Society, vol. 8(2), pages 159-175, 07.
  17. Banerjee, Anindya, 1999. " Panel Data Unit Roots and Cointegration: An Overview," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(0), pages 607-29, Special I.
  18. Hadri, K. & Phillips, G.D.A., 1999. "The Accuracy of the Higher Order Bias Approximation for the 2SLS Estimator," Discussion Papers 9906, Exeter University, Department of Economics.
  19. Kaddour Hadri, 2000. "Testing for stationarity in heterogeneous panel data," Econometrics Journal, Royal Economic Society, vol. 3(2), pages 148-161.
  20. Amsler, Christine & Lee, Junsoo, 1995. "An LM Test for a Unit Root in the Presence of a Structural Change," Econometric Theory, Cambridge University Press, vol. 11(02), pages 359-368, February.
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  22. Junsoo Lee & Mark Strazicich, 2001. "Testing the null of stationarity in the presence of a structural break," Applied Economics Letters, Taylor & Francis Journals, vol. 8(6), pages 377-382.
  23. Kaddour Hadri & Rolf Larsson, 2005. "Testing for stationarity in heterogeneous panel data where the time dimension is finite," Econometrics Journal, Royal Economic Society, vol. 8(1), pages 55-69, 03.
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