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The Power Performance of Fixed-T Panel Unit Root Tests allowing for Structural Breaks

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  • Karavias, Yiannis
  • Tzavalis, Elias

Abstract

The asymptotic local power of least squares based fixed-T panel unit root tests allowing for a structural break in their individual effects and/or incidental trends of the AR(1) panel data model is studied. These tests correct the least squares estimator of the autoregressive coefficient of this panel data model for its inconsistency due to the individual effects and/or incidental trends of the panel. The limiting distributions of the tests are analytically derived under a sequence of local alternatives, assuming that the cross-sectional dimension of the tests (N) grows large. It is shown that the considered fixed-T tests have local power which tends to unity fast only if the panel data model includes individual effects. For panel data models with incidental trends, the power of the tests becomes trivial. However, this problem does not always appear if the tests allow for serial correlation of the error term.

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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 46012.

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Date of creation: 09 Apr 2013
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Handle: RePEc:pra:mprapa:46012

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Keywords: Panel data; unit root tests; structural breaks; local power; serial correlation; incidental trends;

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  1. Jushan Bai & Josep Llu�s Carrion-I-Silvestre, 2009. "Structural Changes, Common Stochastic Trends, and Unit Roots in Panel Data," Review of Economic Studies, Oxford University Press, vol. 76(2), pages 471-501.
  2. Hugo Kruiniger & Elias Tzavalis, 2002. "Testing for unit roots in short dynamic panels with serially correlated and heteroskedastic disturbance terms," 10th International Conference on Panel Data, Berlin, July 5-6, 2002 B5-1, International Conferences on Panel Data.
  3. Edith Madsen, 2010. "Unit root inference in panel data models where the time-series dimension is fixed: a comparison of different tests," Econometrics Journal, Royal Economic Society, vol. 13(1), pages 63-94, 02.
  4. Karavias, Yiannis & Tzavalis, Elias, 2012. "Generalized �Fixed-T Panel Unit Root Tests Allowing for Structural Breaks," MPRA Paper 43128, University Library of Munich, Germany.
  5. 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.
  6. Kruiniger, Hugo, 2008. "Maximum likelihood estimation and inference methods for the covariance stationary panel AR(1)/unit root model," Journal of Econometrics, Elsevier, vol. 144(2), pages 447-464, June.
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  8. Jinyong Hahn & Guido Kuersteiner, 2002. "Asymptotically Unbiased Inference for a Dynamic Panel Model with Fixed Effects when Both "n" and "T" Are Large," Econometrica, Econometric Society, vol. 70(4), pages 1639-1657, July.
  9. Moon, Hyungsik Roger & Perron, Benoit & Phillips, Peter C.B., 2007. "Incidental trends and the power of panel unit root tests," Journal of Econometrics, Elsevier, vol. 141(2), pages 416-459, December.
  10. Arellano, Manuel, 2003. "Panel Data Econometrics," OUP Catalogue, Oxford University Press, number 9780199245291, September.
  11. Hyungsik Roger Moon & Benoit Perron, 2008. "Asymptotic local power of pooled t-ratio tests for unit roots in panels with fixed effects," Econometrics Journal, Royal Economic Society, vol. 11(1), pages 80-104, 03.
  12. David Harris & Steve Leybourne & Brendan McCabe, 2003. "Panel Stationarity Tests with Cross-sectional Dependence," Econometrics 0311005, EconWPA.
  13. Loukia Meligkotsidou & Elias Tzavalis & Ioannis D. Vrontos, 2004. "A Bayesian Analysis of Unit Roots and Structural Breaks in the Level and the Error Variance of Autoregressive Models," Working Papers 514, Queen Mary, University of London, School of Economics and Finance.
  14. David Harris & David I. Harvey & Stephen J. Leybourne & Nikoloas D. Sakkas, 2008. "Local asymptotic power of the Im-Pesaran-Shin panel unit root test and the impact of initial observations," Discussion Papers 08/02, University of Nottingham, Granger Centre for Time Series Econometrics.
  15. Chan, Felix & Pauwels, Laurent, 2011. "Model specification in panel data unit root tests with an unknown break," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(7), pages 1299-1309.
  16. Harris, Richard D. F. & Tzavalis, Elias, 1999. "Inference for unit roots in dynamic panels where the time dimension is fixed," Journal of Econometrics, Elsevier, vol. 91(2), pages 201-226, August.
  17. David I. Harvey & Stephen J. Leybourne, 2005. "On testing for unit roots and the initial observation," Econometrics Journal, Royal Economic Society, vol. 8(1), pages 97-111, 03.
  18. Loukia Meligkotsidou & Elias Tzavalis & Ioannis Vrontos, 2011. "A Bayesian Analysis of Unit Roots and Structural Breaks in the Level, Trend, and Error Variance of Autoregressive Models of Economic Series," Econometric Reviews, Taylor & Francis Journals, vol. 30(2), pages 208-249.
  19. Pauwels Laurent L. & Chan Felix & Mancini Griffoli Tommaso, 2012. "Testing for Structural Change in Heterogeneous Panels with an Application to the Euro's Trade Effect," Journal of Time Series Econometrics, De Gruyter, vol. 4(2), pages 1-35, November.
  20. Harris, David & Leybourne, Stephen & McCabe, Brendan, 2005. "Panel Stationarity Tests for Purchasing Power Parity With Cross-Sectional Dependence," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 395-409, October.
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