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On The Panel Unit Root Tests Using Nonlinear Instrumental Variables

Author

Listed:
  • Im, K.S.
  • Pesaran, M.H.

Abstract

This paper re-examines the panel unit root tests proposed by Chang (2002). She establishes asymptotic independence of the t-statistics when integrable functions of lagged dependent variable are used as instruments even if the original series are cross sectionally dependent. She claims that her non-linear instrumental variable (NIV) panel unit root test is valid under general error cross correlations for any N (the cross section dimension) as T (the time dimension of the panel) tends to infinity. These results are largely due to her particular choice of the error correlation matrix which results in weak cross section dependence. Also, the asymptotic independence property of the t- statistics disappears when Chang's modified instruments are used. Using a common factor model with a sizeable degree of cross section correlations, we show that Chang's NIV panel unit root test suffers from gross size distortions, even when N is small relative to T.

Suggested Citation

  • Im, K.S. & Pesaran, M.H., 2003. "On The Panel Unit Root Tests Using Nonlinear Instrumental Variables," Cambridge Working Papers in Economics 0347, Faculty of Economics, University of Cambridge.
  • Handle: RePEc:cam:camdae:0347
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    File URL: http://www.econ.cam.ac.uk/faculty/pesaran/IPnivOct25.pdf
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    References listed on IDEAS

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    1. Park, Joon Y. & Phillips, Peter C.B., 1999. "Asymptotics For Nonlinear Transformations Of Integrated Time Series," Econometric Theory, Cambridge University Press, vol. 15(03), pages 269-298, June.
    2. Yoosoon Chang & Joon Y. Park & Peter C. B. Phillips, 2001. "Nonlinear econometric models with cointegrated and deterministically trending regressors," Econometrics Journal, Royal Economic Society, vol. 4(1), pages 1-36.
    3. 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.
    4. Moon, H.R.Hyungsik Roger & Perron, Benoit, 2004. "Testing for a unit root in panels with dynamic factors," Journal of Econometrics, Elsevier, vol. 122(1), pages 81-126, September.
    5. Park, Joon Y & Phillips, Peter C B, 2001. "Nonlinear Regressions with Integrated Time Series," Econometrica, Econometric Society, vol. 69(1), pages 117-161, January.
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    Citations

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    Cited by:

    1. 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.
    2. Wagner, Martin, 2008. "The carbon Kuznets curve: A cloudy picture emitted by bad econometrics?," Resource and Energy Economics, Elsevier, vol. 30(3), pages 388-408, August.
    3. Barabas, György & Kitlinski, Tobias & Schmidt, Christoph M. & Schmidt, Torsten & Siemers, Lars-H. & Brilon, Werner, 2010. "Verkehrsinfrastrukturinvestitionen: Wachstumsaspekte im Rahmen einer gestaltenden Finanzpolitik. Endbericht - Januar 2010. Forschungsprojekt im Auftrag des Bundesministeriums der Finanzen. Projektnumm," RWI Projektberichte, RWI - Leibniz-Institut für Wirtschaftsforschung, number 72601.
    4. repec:ris:badest:0001 is not listed on IDEAS
    5. Martin Wagner, 2008. "On PPP, unit roots and panels," Empirical Economics, Springer, vol. 35(2), pages 229-249, September.
    6. Stefano Fachin, 2007. "Long-run trends in internal migrations in italy: a study in panel cointegration with dependent units," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(2), pages 401-428.
    7. Todd H. Kuethe & Valerien Pede, 2009. "Regional Housing Price Cycles: A Spatio-Temporal Analysis Using Us State Level," Working Papers 09-04, Purdue University, College of Agriculture, Department of Agricultural Economics.
    8. Dinusha Dharmaratna & Edwyna Harris, 2012. "Estimating Residential Water Demand Using the Stone-Geary Functional Form: The Case of Sri Lanka," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(8), pages 2283-2299, June.
    9. Neziri, Hekuran, 2008. "Can Credit Default Swaps Predict Financial Crises: An Empirical Test on Emerging Markets," MPRA Paper 13096, University Library of Munich, Germany.
    10. Matei Demetrescu & Uwe Hassler & Adina-Ioana Tarcolea, 2006. "Combining Significance of Correlated Statistics with Application to Panel Data," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(5), pages 647-663, October.
    11. repec:bla:pacecr:v:22:y:2017:i:4:p:510-532 is not listed on IDEAS
    12. Demetrescu Matei, 2009. "Panel Unit Root Testing with Nonlinear Instruments for Infinite-Order Autoregressive Processes," Journal of Time Series Econometrics, De Gruyter, vol. 1(2), pages 1-30, December.
    13. Christophe Hurlin, 2010. "What would Nelson and Plosser find had they used panel unit root tests?," Applied Economics, Taylor & Francis Journals, vol. 42(12), pages 1515-1531.
    14. Shin, Dong Wan & Kang, Seungho, 2006. "An instrumental variable approach for panel unit root tests under cross-sectional dependence," Journal of Econometrics, Elsevier, vol. 134(1), pages 215-234, September.
    15. Ching-Chuan Tsong & Cheng-Feng Lee, 2013. "Further Evidence On Real Interest Rate Equalization: Panel Information, Non-Linearities And Structural Changes," Bulletin of Economic Research, Wiley Blackwell, vol. 65, pages 85-105, May.
    16. Christophe Hurlin & Valérie Mignon, 2005. "Une synthèse des tests de racine unitaire sur données de panel," Economie & Prévision, La Documentation Française, vol. 0(3), pages 253-294.
    17. Abdouli, Mohamed & Hammami, Sami, 2017. "Investigating the causality links between environmental quality, foreign direct investment and economic growth in MENA countries," International Business Review, Elsevier, vol. 26(2), pages 264-278.
    18. Romero-Ávila, Diego, 2009. "Are OECD consumption-income ratios stationary after all?," Economic Modelling, Elsevier, vol. 26(1), pages 107-117, January.

    More about this item

    Keywords

    Non-linear Instrumental Variable (NIV) panel unit root tests; cross-section dependence; finite sample properties;

    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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