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A Panel Unit Root Test with Good Power in Small Samples

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Author Info
Claude Lopez

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Abstract

We propose a new pooled panel unit root test allowing for serial and contemporaneous correlation. The test combines Elliott et al. (1996) local-to-unity transformation with a pooled panel ADF test, and accounts for contemporaneous correlation by estimating the residual covariance matrix. The critical values are bootstrapped and Monte Carlo simulations demonstrate enhanced performances, especially when the series are highly persistent and the panel cross-sectional and time series dimensions are relatively small. An application of the test to the real exchange rate convergence for the post Bretton-Woods period leads to strong and reliable rejections of the unit root.

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Publisher Info
Article provided by Taylor and Francis Journals in its journal Econometric Reviews.

Volume (Year): 28 (2009)
Issue (Month): 4 ()
Pages: 295-313
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Handle: RePEc:taf:emetrv:v:28:y:2009:i:4:p:295-313

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Related research
Keywords: Bootstrap test; GLS-detrending; Panel unit root test;

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References listed on IDEAS
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  1. Russell Davidson & James MacKinnon, 2000. "Bootstrap tests: how many bootstraps?," Econometric Reviews, Taylor and Francis Journals, vol. 19(1), pages 55-68. [Downloadable!] (restricted)
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  2. 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. [Downloadable!] (restricted)
  3. Papell, David H., 2006. "The Panel Purchasing Power Parity Puzzle," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(2), pages 447-467, March. [Downloadable!] (restricted)
  4. Davidson, Russell & MacKinnon, James G., 2006. "The power of bootstrap and asymptotic tests," Journal of Econometrics, Elsevier, vol. 133(2), pages 421-441, August. [Downloadable!] (restricted)
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  5. Peter C. B. Phillips & Donggyu Sul, 2003. "Dynamic panel estimation and homogeneity testing under cross section dependence *," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 217-259, 06. [Downloadable!] (restricted)
  6. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-36, July. [Downloadable!] (restricted)
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  7. Lopez, Claude & Murray, Christian J & Papell, David H, 2005. "State of the Art Unit Root Tests and Purchasing Power Parity," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(2), pages 361-69, April.
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  8. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November. [Downloadable!] (restricted)
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  9. Choi, In, 2001. "Unit root tests for panel data," Journal of International Money and Finance, Elsevier, vol. 20(2), pages 249-272, April. [Downloadable!] (restricted)
  10. 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. [Downloadable!] (restricted)
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  11. Hyungsik Roger Moon & Benoit Perron & Peter C.B. Phillips, 2005. "Incidental Trends and the Power of Panel Unit Root Tests," IEPR Working Papers 05.38, Institute of Economic Policy Research (IEPR). [Downloadable!]
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  12. Papell, David H & Theodoridis, Hristos, 2001. "The Choice of Numeraire Currency in Panel Tests of Purchasing Power Parity," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 33(3), pages 790-803, August.
  13. 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. [Downloadable!] (restricted)
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  14. Papell, David H., 1997. "Searching for stationarity: Purchasing power parity under the current float," Journal of International Economics, Elsevier, vol. 43(3-4), pages 313-332, November. [Downloadable!] (restricted)
  15. Hall, Alastair R, 1994. "Testing for a Unit Root in Time Series with Pretest Data-Based Model Selection," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(4), pages 461-70, October.
  16. Jushan Bai & Serena Ng, 2002. "Determining the Number of Factors in Approximate Factor Models," Econometrica, Econometric Society, vol. 70(1), pages 191-221, January. [Downloadable!] (restricted)
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