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Cross-sectional Dependency and Size Distortion in a Small-sample Homogeneous Panel Data Unit Root Test

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  • Kristian Jönsson

Abstract

In this paper, we investigate the effects of cross-sectional disturbance correlation in a homogeneous panel data unit root test. As reported by other authors, the unit root test has incorrect size in the presence of cross-sectional correlation. We suggest that a previously known estimator can be used to reduce the size distortions. We supply response surface estimates for critical values and study the size characteristics of the proposed test. We find that the suggested estimator performs well in small-sample homogeneous panel data unit root tests. The reduction in size distortion comes at a small cost of lower power against a stationary alternative. Copyright 2005 Blackwell Publishing Ltd.

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Bibliographic Info

Article provided by Department of Economics, University of Oxford in its journal Oxford Bulletin of Economics & Statistics.

Volume (Year): 67 (2005)
Issue (Month): 3 (06)
Pages: 369-392

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Handle: RePEc:bla:obuest:v:67:y:2005:i:3:p:369-392

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References

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  1. 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.
  2. Breuer, Janice Boucher & McNown, Robert & Wallace, Myles, 2002. " Series-Specific Unit Root Tests with Panel Data," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 64(5), pages 527-46, December.
  3. O'Connell, Paul G. J., 1998. "The overvaluation of purchasing power parity," Journal of International Economics, Elsevier, vol. 44(1), pages 1-19, February.
  4. 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.
  5. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-87, December.
  6. Harvey, A. & Bates, D., 2003. "Multivariate Unit Root Tests and Testing for Convergence," Cambridge Working Papers in Economics 0301, Faculty of Economics, University of Cambridge.
  7. 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.
  8. David Papell, 1998. "The Great Appreciation, the Great Depreciation, and the Purchasing Power Parity Hypothesis," Working Papers 30, Oesterreichische Nationalbank (Austrian Central Bank).
  9. Karlsson, Sune & Lothgren, Mickael, 2000. "On the power and interpretation of panel unit root tests," Economics Letters, Elsevier, vol. 66(3), pages 249-255, March.
  10. 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.
  11. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know About Unit Roots," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220 National Bureau of Economic Research, Inc.
  12. Larsson, Rolf & Lyhagen, Johan & Löthgren, Mickael, 1998. "Likelihood-Based Cointegration Tests in Heterogeneous Panels," Working Paper Series in Economics and Finance 250, Stockholm School of Economics, revised 27 Aug 1998.
  13. Andersson, Jonas & Lyhagen, Johan, 1999. "A long memory panel unit root test: PPP revisited," Working Paper Series in Economics and Finance 303, Stockholm School of Economics.
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Cited by:
  1. Alberto Behar & James Hodge, 2007. "The employment effects of mergers in a declining industry: the case of South African gold mining," Economics Series Working Papers 335, University of Oxford, Department of Economics.
  2. Fischer, Christoph, 2012. "Price convergence in the EMU? Evidence from micro data," European Economic Review, Elsevier, vol. 56(4), pages 757-776.
  3. Konstantin A. Kholodilin & Jan-Oliver Menz & Boriss Siliverstovs, 2007. "What Drives Housing Prices Down?: Evidence from an International Panel," Discussion Papers of DIW Berlin 758, DIW Berlin, German Institute for Economic Research.
  4. Giorgio Canarella & Stephen M. Miller & Mahmoud M. Nourayi, 2012. "Firm Profitability: Mean-Reverting or Random-Walk Behavior?," Working Papers 1202, University of Nevada, Las Vegas , Department of Economics.
  5. Johan Lyhagen & Pär Österholm & Mikael Carlsson, 2007. "Testing for Purchasing Power Parity in Cointegrated Panels," IMF Working Papers 07/287, International Monetary Fund.
  6. Xiujian Chen & Shu Lin & W. Robert Reed, 2005. "Another Look At What To Do With Time-Series Cross-Section Data," Econometrics 0506004, EconWPA.
  7. Christoph Fischer & Daniel Porath, 2010. "A reappraisal of the evidence on PPP: a systematic investigation into MA roots in panel unit root tests and their implications," Empirical Economics, Springer, vol. 39(3), pages 767-792, December.
  8. Helmut Herwartz & Florian Siedenburg, 2013. "To converge or not converge: unit labor cost inflation in the Euro area," Empirical Economics, Springer, vol. 44(2), pages 455-467, April.
  9. Fischer, Christoph, 2007. "An assessment of the trends in international price competitiveness among EMU countries," Discussion Paper Series 1: Economic Studies 2007,08, Deutsche Bundesbank, Research Centre.
  10. Demetrescu, Matei & Hanck, Christoph, 2012. "A simple nonstationary-volatility robust panel unit root test," Economics Letters, Elsevier, vol. 117(1), pages 10-13.
  11. Jönsson, Kristian, 2004. "Testing for Stationarity in Panel Data Models when Disturbances are Cross-Sectionally Correlated," Working Papers 2004:17, Lund University, Department of Economics, revised 26 Nov 2004.

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