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Response Surface Estimates of the Cross-Sectionally Augmented IPS Tests for Panel Unit Roots

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  • Jesús Otero
  • Jeremy Smith

Abstract

This paper estimates response surface coefficients for a large range of quantiles of the cross-sectionally augmented IPS (CIPS) test of Pesaran ( 2007 ), for different specifications of the deterministic components. An Excel programme is available to calculate the P value associated with a CIPS test statistic. Copyright Springer Science+Business Media, LLC. 2013

Suggested Citation

  • Jesús Otero & Jeremy Smith, 2013. "Response Surface Estimates of the Cross-Sectionally Augmented IPS Tests for Panel Unit Roots," Computational Economics, Springer;Society for Computational Economics, vol. 41(1), pages 1-9, January.
    • Handle: RePEc:kap:compec:v:41:y:2013:i:1:p:1-9
    DOI: 10.1007/s10614-011-9309-4
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    References listed on IDEAS

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    1. MacKinnon, James G & Haug, Alfred A & Michelis, Leo, 1999. "Numerical Distribution Functions of Likelihood Ratio Tests for Cointegration," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 14(5), pages 563-577, Sept.-Oct.
    2. Sephton, Peter S., 1995. "Response surface estimates of the KPSS stationarity test," Economics Letters, Elsevier, vol. 47(3-4), pages 255-261, March.
    3. 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.
    4. Hylleberg, S. & Engle, R. F. & Granger, C. W. J. & Yoo, B. S., 1990. "Seasonal integration and cointegration," Journal of Econometrics, Elsevier, vol. 44(1-2), pages 215-238.
    5. Harvey, David I. & van Dijk, Dick, 2006. "Sample size, lag order and critical values of seasonal unit root tests," Computational Statistics & Data Analysis, Elsevier, vol. 50(10), pages 2734-2751, June.
    6. Engle, R. F. & Granger, C. W. J. (ed.), 1991. "Long-Run Economic Relationships: Readings in Cointegration," OUP Catalogue, Oxford University Press, number 9780198283393, Decembrie.
    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. Strauss, Jack & Yigit, Taner, 2003. "Shortfalls of panel unit root testing," Economics Letters, Elsevier, vol. 81(3), pages 309-313, December.
    9. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    10. MacKinnon, James G, 1996. "Numerical Distribution Functions for Unit Root and Cointegration Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 601-618, Nov.-Dec..
    11. Johansen, Soren, 1988. "Statistical analysis of cointegration vectors," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 231-254.
    12. MacKinnon, James G, 1994. "Approximate Asymptotic Distribution Functions for Unit-Root and Cointegration Tests," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 167-176, April.
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    Citations

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    Cited by:

    1. Holmes, Mark J. & Otero, Jesús & Panagiotidis, Theodore, 2013. "Modelling the behaviour of unemployment rates in the US over time and across space," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(22), pages 5711-5722.
    2. Dierk Herzer & Julian Donaubauer, 2018. "The long-run effect of foreign direct investment on total factor productivity in developing countries: a panel cointegration analysis," Empirical Economics, Springer, vol. 54(2), pages 309-342, March.
    3. Dierk Herzer & Holger Strulik, 2017. "Religiosity and income: a panel cointegration and causality analysis," Applied Economics, Taylor & Francis Journals, vol. 49(30), pages 2922-2938, June.
    4. Dierk Herzer, 2017. "The Long-run Relationship Between Trade and Population Health: Evidence from Five Decades," The World Economy, Wiley Blackwell, vol. 40(2), pages 462-487, February.
    5. Dierk Herzer, 2019. "The long-run effect of aid on health: evidence from panel cointegration analysis," Applied Economics, Taylor & Francis Journals, vol. 51(12), pages 1319-1338, March.
    6. Mark J. Holmes & Jesús Otero, 2022. "The wage curve within and across regions: new insights from a pairwise view of US states," Empirical Economics, Springer, vol. 62(5), pages 2069-2089, May.

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    More about this item

    Keywords

    CIPS test; Monte Carlo; Unit roots; Response surface; Critical values; P values; C12; C15;
    All these keywords.

    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

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