IDEAS home Printed from https://ideas.repec.org/a/bla/obuest/v67y2005i2p231-262.html
   My bibliography  Save this article

A Panel CUSUM Test of the Null of Cointegration

Author

Listed:
  • Joakim Westerlund

Abstract

This paper proposes a simple residual‐based panel CUSUM test of the null hypothesis of cointegration. The test has a limiting normal distribution that is free of nuisance parameters, it is robust to heteroskedasticity and it allows for mixtures of cointegrated and spurious alternatives. Our Monte Carlo results suggest that the test has small‐size distortions and reasonable power. In our empirical application to international R&D spillovers, we present evidence suggesting that total factor productivity is heterogeneously cointegrated with foreign and domestic R&D capital stocks.

Suggested Citation

  • Joakim Westerlund, 2005. "A Panel CUSUM Test of the Null of Cointegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(2), pages 231-262, April.
    • Handle: RePEc:bla:obuest:v:67:y:2005:i:2:p:231-262
    DOI: 10.1111/j.1468-0084.2004.00118.x
    as

    Download full text from publisher

    File URL: https://doi.org/10.1111/j.1468-0084.2004.00118.x
    Download Restriction: no
    File URL: https://libkey.io/10.1111/j.1468-0084.2004.00118.x?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Suzanne McCoskey & Chihwa Kao, 1998. "A residual-based test of the null of cointegration in panel data," Econometric Reviews, Taylor & Francis Journals, vol. 17(1), pages 57-84.
    2. Camarero, Mariam & Tamarit, Cecilio, 2002. "A panel cointegration approach to the estimation of the peseta real exchange rate," Journal of Macroeconomics, Elsevier, vol. 24(3), pages 371-393, September.
    3. Keller, Wolfgang, 1998. "Are international R&D spillovers trade-related?: Analyzing spillovers among randomly matched trade partners," European Economic Review, Elsevier, vol. 42(8), pages 1469-1481, September.
    4. Peter C. B. Phillips & Hyungsik R. Moon, 1999. "Linear Regression Limit Theory for Nonstationary Panel Data," Econometrica, Econometric Society, vol. 67(5), pages 1057-1112, September.
    5. Chihwa Kao & Min‐Hsien Chiang & Bangtian Chen, 1999. "International R&D Spillovers: An Application of Estimation and Inference in Panel Cointegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(S1), pages 691-709, November.
    6. Peter C. B. Phillips & Bruce E. Hansen, 1990. "Statistical Inference in Instrumental Variables Regression with I(1) Processes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(1), pages 99-125.
    7. Caner, M. & Kilian, L., 2001. "Size distortions of tests of the null hypothesis of stationarity: evidence and implications for the PPP debate," Journal of International Money and Finance, Elsevier, vol. 20(5), pages 639-657, October.
    8. McCoskey, Suzanne K. & Selden, Thomas M., 1998. "Health care expenditures and GDP: panel data unit root test results," Journal of Health Economics, Elsevier, vol. 17(3), pages 369-376, June.
    9. Pedroni, Peter, 2004. "Panel Cointegration: Asymptotic And Finite Sample Properties Of Pooled Time Series Tests With An Application To The Ppp Hypothesis," Econometric Theory, Cambridge University Press, vol. 20(3), pages 597-625, June.
    10. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    11. Edmond, Chris, 2001. "Some Panel Cointegration Models of International R&D Spillovers," Journal of Macroeconomics, Elsevier, vol. 23(2), pages 241-260, April.
    12. Tsung-wu Ho, 2002. "A panel cointegration approach to the investment-saving correlation," Empirical Economics, Springer, vol. 27(1), pages 91-100.
    13. Park, Joon Y. & Phillips, Peter C.B., 1988. "Statistical Inference in Regressions with Integrated Processes: Part 1," Econometric Theory, Cambridge University Press, vol. 4(3), pages 468-497, December.
    14. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-858, May.
    15. Andrews, Donald W K & Monahan, J Christopher, 1992. "An Improved Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator," Econometrica, Econometric Society, vol. 60(4), pages 953-966, July.
    16. Kao, Chihwa & Chiang, Min-Hsien & Chen, Bangtian, 1999. "International R&D Spillovers: An Application of Estimation and Inference in Panel Cointegration," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(0), pages 691-709, Special I.
    17. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July.
    18. Phillips, P.C.B., 1986. "Understanding spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 33(3), pages 311-340, December.
    19. Saikkonen, Pentti, 1991. "Asymptotically Efficient Estimation of Cointegration Regressions," Econometric Theory, Cambridge University Press, vol. 7(1), pages 1-21, March.
    20. Kao, Chihwa, 1999. "Spurious regression and residual-based tests for cointegration in panel data," Journal of Econometrics, Elsevier, vol. 90(1), pages 1-44, May.
    21. Xiao, Zhijie & Phillips, Peter C. B., 2002. "A CUSUM test for cointegration using regression residuals," Journal of Econometrics, Elsevier, vol. 108(1), pages 43-61, May.
    22. Coakley, Jerry & Fuertes, Ana Maria, 1997. "New panel unit root tests of PPP," Economics Letters, Elsevier, vol. 57(1), pages 17-22, November.
    23. Suzanne McCoskey & Chihwa Kao, 1999. "Testing the Stability of a Production Function with Urbanization as a Shift Factor: An Application of Non-Stationary Panel Data Techniques," Center for Policy Research Working Papers 5, Center for Policy Research, Maxwell School, Syracuse University.
    24. 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.
    25. Suzanne McCoskey & Chihwa Kao, 1999. "Testing the Stability of a Production Function with Urbanization as a Shift Factor," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(S1), pages 671-690, November.
    26. Shin, Yongcheol, 1994. "A Residual-Based Test of the Null of Cointegration Against the Alternative of No Cointegration," Econometric Theory, Cambridge University Press, vol. 10(1), pages 91-115, March.
    27. Xiao, Zhijie, 1999. "A residual based test for the null hypothesis of cointegration," Economics Letters, Elsevier, vol. 64(2), pages 133-141, August.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kaddour Hadri & Eiji Kurozumi & Yao Rao, 2015. "Novel panel cointegration tests emending for cross‐section dependence with N fixed," Econometrics Journal, Royal Economic Society, vol. 18(3), pages 363-411, October.
    2. Magda Kandil & Muhammad Shahbaz & Samia Nasreen, 2015. "The interaction between globalization and financial development: new evidence from panel cointegration and causality analysis," Empirical Economics, Springer, vol. 49(4), pages 1317-1339, December.
    3. Tarkan Cavusoglu & Oguzhan Dincer, 2015. "Does decentralization reduce income inequality? Only in rich states," Southern Economic Journal, Southern Economic Association, vol. 82(1), pages 285-306, July.
    4. Roberto Basile & Mauro Costantini & Sergio Destefanis, 2005. "Unit root and cointegration tests for cross-sectionally correlated panels. Estimating regional production functions," CELPE Discussion Papers 94, CELPE - CEnter for Labor and Political Economics, University of Salerno, Italy.
    5. Joakim Westerlund, 2006. "Testing for Panel Cointegration with Multiple Structural Breaks," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(1), pages 101-132, February.
    6. Uwe Hassler & Mehdi Hosseinkouchack, 2016. "Panel Cointegration Testing in the Presence of Linear Time Trends," Econometrics, MDPI, vol. 4(4), pages 1-16, November.
    7. Nabila Asghar & Awais Anwar & Hafeez Ur Rehman & Saba Javed, 2020. "Industrial practices and quality of environment: evidence for Asian economies," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 22(8), pages 7807-7829, December.
    8. Chor Foon Tang, 2013. "Evidence on Structural Instability in the Japanese Money Demand Function," Margin: The Journal of Applied Economic Research, National Council of Applied Economic Research, vol. 7(3), pages 255-272, August.
    9. Salem Alshihab, 2021. "Macroeconomic Determinants of Stock Market Returns in the Gulf Cooperation Council," International Journal of Economics and Financial Issues, Econjournals, vol. 11(2), pages 56-66.
    10. Khaled Guesmi & Frédéric Teulon, 2014. "Determinants of Foreign Direct Investments in the South Asian Association for Regional Cooperation," Working Papers 2014-213, Department of Research, Ipag Business School.
    11. repec:wly:soecon:v:82:1:y:2015:p:285-306 is not listed on IDEAS
    12. Tarkan Cavusoglu & Oguzhan Dincer, 2019. "Schooling and income inequality in the long-run," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 43(3), pages 594-606, July.
    13. Westerlund, Joakim, 2006. "Reducing the size distortions of the panel LM Test for cointegration," Economics Letters, Elsevier, vol. 90(3), pages 384-389, March.
    14. Sevgi SEZER, 2017. "The effects of real exchange rates and income on the trade balance: A second generation panel data analysis for transition economies and Turkey," Theoretical and Applied Economics, Asociatia Generala a Economistilor din Romania - AGER, vol. 0(2(611), S), pages 171-186, Summer.
    15. Joakim Westerlund & David L. Edgerton, 2008. "A Simple Test for Cointegration in Dependent Panels with Structural Breaks," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 70(5), pages 665-704, October.
    16. Tarkan Cavusoglu & Oguzhan Dincer, 2015. "Does decentralization reduce income inequality? Only in rich states," Southern Economic Journal, John Wiley & Sons, vol. 82(1), pages 285-306, July.
    17. Song, Chang-Qing & Chang, Chun-Ping & Gong, Qiang, 2021. "Economic growth, corruption, and financial development: Global evidence," Economic Modelling, Elsevier, vol. 94(C), pages 822-830.
    18. Xiaohong Liu, 2023. "Impacts of Environmental Pollution and Digital Economy on the New Energy Industry," Sustainability, MDPI, vol. 15(12), pages 1-15, June.
    19. Bhuvaneskumar Annamalaisamy & Sivakumar Vepur Jayaraman, 2023. "Renewable energy for sustainable development in Asia‐Pacific region: Do foreign direct investment and regulatory quality matter?," Sustainable Development, John Wiley & Sons, Ltd., vol. 31(1), pages 108-124, February.
    20. Westerlund, Joakim & Edgerton, David L., 2007. "A panel bootstrap cointegration test," Economics Letters, Elsevier, vol. 97(3), pages 185-190, December.
    21. Singh, Tarlok, 2008. "Testing the Saving-Investment correlations in India: An evidence from single-equation and system estimators," Economic Modelling, Elsevier, vol. 25(5), pages 1064-1079, September.
    22. Yosra Saidi & Anis Ochi & Samir Maktouf, 2023. "FDI inflows, economic growth, and governance quality trilogy in developing countries: A panel VAR analysis," Bulletin of Economic Research, Wiley Blackwell, vol. 75(2), pages 426-449, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Valérie Mignon & Christophe Hurlin, 2007. "Une synthèse des tests de cointégration sur données de panel," Économie et Prévision, Programme National Persée, vol. 180(4), pages 241-265.
    2. 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.
    3. Breitung, Jörg & Pesaran, Mohammad Hashem, 2005. "Unit roots and cointegration in panels," Discussion Paper Series 1: Economic Studies 2005,42, Deutsche Bundesbank.
    4. Juan Carlos Aquino & N. R. Ramírez-Rondán, 2020. "Estimating factor shares from nonstationary panel data," Empirical Economics, Springer, vol. 58(5), pages 2353-2380, May.
    5. Joakim Westerlund, 2007. "Testing for Error Correction in Panel Data," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 69(6), pages 709-748, December.
    6. Suzanne McCoskey & Chihwa Kao, 1997. "A Monte Carlo Comparison of Tests for Cointegration in Panel Data," Econometrics 9712002, University Library of Munich, Germany.
    7. Ibhagui, Oyakhilome W., 2019. "Does the long-run monetary model hold for Sub-Saharan Africa? A time series and panel-cointegration study," Research in International Business and Finance, Elsevier, vol. 47(C), pages 279-303.
    8. Mosahid Khan & Kul B. Luintel & Konstantinos Theodoris, 2010. "How Robust is the R&D – Productivity relationship? Evidence from OECD Countries," WIPO Economic Research Working Papers 01, World Intellectual Property Organization - Economics and Statistics Division, revised Dec 2010.
    9. repec:wip:wpaper:1 is not listed on IDEAS
    10. Trapani, Lorenzo & Urga, Giovanni, 2010. "Micro versus macro cointegration in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 155(1), pages 1-18, March.
    11. Li, Ke & Lin, Boqiang, 2016. "Impact of energy technology patents in China: Evidence from a panel cointegration and error correction model," Energy Policy, Elsevier, vol. 89(C), pages 214-223.
    12. Matteo Mogliani, 2010. "Residual-based tests for cointegration and multiple deterministic structural breaks: A Monte Carlo study," Working Papers halshs-00564897, HAL.
    13. Vasco Gabriel, 2003. "Tests for the Null Hypothesis of Cointegration: A Monte Carlo Comparison," Econometric Reviews, Taylor & Francis Journals, vol. 22(4), pages 411-435.
    14. Rapach, David E. & Wohar, Mark E., 2004. "Testing the monetary model of exchange rate determination: a closer look at panels," Journal of International Money and Finance, Elsevier, vol. 23(6), pages 867-895, October.
    15. Kuo, Biing-Shen, 1998. "Test for partial parameter instability in regressions with I(1) processes," Journal of Econometrics, Elsevier, vol. 86(2), pages 337-368, June.
    16. de Mello Luiz & Moccero Diego & Mogliani Matteo, 2013. "Do Latin American Central Bankers Behave Non-Linearly? The Experiences of Brazil, Chile, Colombia and Mexico," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 17(2), pages 141-165, April.
    17. Coe, David T. & Helpman, Elhanan & Hoffmaister, Alexander W., 2009. "International R&D spillovers and institutions," European Economic Review, Elsevier, vol. 53(7), pages 723-741, October.
    18. Minxian, Yang, 1998. "System estimators of cointegrating matrix in absence of normalising information," Journal of Econometrics, Elsevier, vol. 85(2), pages 317-337, August.
    19. Kaddour Hadri & Eiji Kurozumi & Yao Rao, 2015. "Novel panel cointegration tests emending for cross‐section dependence with N fixed," Econometrics Journal, Royal Economic Society, vol. 18(3), pages 363-411, October.
    20. Robert Kelm, 2022. "Determinants of the VAT Gap in EU Member States from 2000 to 2016," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 14(4), pages 225-262, December.
    21. In Choi, 2013. "Panel Cointegration," Working Papers 1208, Nam Duck-Woo Economic Research Institute, Sogang University (Former Research Institute for Market Economy).

    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C33 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Models with Panel Data; Spatio-temporal Models

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:obuest:v:67:y:2005:i:2:p:231-262. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://edirc.repec.org/data/sfeixuk.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.