IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v81y2010i1p5-17.html
   My bibliography  Save this article

Multivariate linear and nonlinear causality tests

Author

Listed:
  • Bai, Zhidong
  • Wong, Wing-Keung
  • Zhang, Bingzhi

Abstract

The traditional linear Granger test has been widely used to examine the linear causality among several time series in bivariate settings as well as multivariate settings. Hiemstra and Jones [19] develop a nonlinear Granger causality test in bivariate settings to investigate the nonlinear causality between stock prices and trading volume. This paper extends their work by developing a nonlinear causality test in multivariate settings.

Suggested Citation

  • Bai, Zhidong & Wong, Wing-Keung & Zhang, Bingzhi, 2010. "Multivariate linear and nonlinear causality tests," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(1), pages 5-17.
    • Handle: RePEc:eee:matcom:v:81:y:2010:i:1:p:5-17
    DOI: 10.1016/j.matcom.2010.06.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475410001977
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2010.06.008?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Pierce, David A. & Haugh, Larry D., 1977. "Causality in temporal systems : Characterization and a survey," Journal of Econometrics, Elsevier, vol. 5(3), pages 265-293, May.
    2. Javier Hidalgo, 2000. "Nonparametric Test for Causality with Long-Range Dependence," Econometrica, Econometric Society, vol. 68(6), pages 1465-1490, November.
    3. Jean-Marie Dufour & Eric Renault, 1998. "Short Run and Long Run Causality in Time Series: Theory," Econometrica, Econometric Society, vol. 66(5), pages 1099-1126, September.
    4. 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.
    5. Lütkepohl, Helmut & POSKITT, D.S., 1996. "Testing for Causation Using Infinite Order Vector Autoregressive Processes," Econometric Theory, Cambridge University Press, vol. 12(1), pages 61-87, March.
    6. Diks Cees & Panchenko Valentyn, 2005. "A Note on the Hiemstra-Jones Test for Granger Non-causality," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 9(2), pages 1-9, June.
    7. Diks, Cees & Panchenko, Valentyn, 2006. "A new statistic and practical guidelines for nonparametric Granger causality testing," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1647-1669.
    8. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    9. Granger, C W J, 1969. "Investigating Causal Relations by Econometric Models and Cross-Spectral Methods," Econometrica, Econometric Society, vol. 37(3), pages 424-438, July.
    10. Hiemstra, Craig & Jones, Jonathan D, 1994. "Testing for Linear and Nonlinear Granger Causality in the Stock Price-Volume Relation," Journal of Finance, American Finance Association, vol. 49(5), pages 1639-1664, December.
    11. Scheinkman, Jose A & LeBaron, Blake, 1989. "Nonlinear Dynamics and Stock Returns," The Journal of Business, University of Chicago Press, vol. 62(3), pages 311-337, July.
    12. Issam Abdalla & Victor Murinde, 1997. "Exchange rate and stock price interactions in emerging financial markets: evidence on India, Korea, Pakistan and the Philippines," Applied Financial Economics, Taylor & Francis Journals, vol. 7(1), pages 25-35.
    13. Qiao, Zhuo & Li, Yuming & Wong, Wing-Keung, 2008. "Policy change and lead-lag relations among China's segmented stock markets," Journal of Multinational Financial Management, Elsevier, vol. 18(3), pages 276-289, July.
    14. Larry D. Haugh & David A. Pierce, 1977. "Causality in temporal systems: characterizations and a survey," Special Studies Papers 87, Board of Governors of the Federal Reserve System (U.S.).
    15. Sims, Christopher A, 1980. "Macroeconomics and Reality," Econometrica, Econometric Society, vol. 48(1), pages 1-48, January.
    16. TjOstheim, Dag, 1981. "Granger-causality in multiple time series," Journal of Econometrics, Elsevier, vol. 17(2), pages 157-176, November.
    17. Leung, Pui-Lam & Wong, Wing-Keung, 2008. "Three-factor profile analysis with GARCH innovations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(1), pages 1-8.
    18. Hidalgo, Javier, 2000. "Nonparametric test for causality with long-range dependence," LSE Research Online Documents on Economics 6866, London School of Economics and Political Science, LSE Library.
    19. Qiao, Zhuo & McAleer, Michael & Wong, Wing-Keung, 2009. "Linear and nonlinear causality between changes in consumption and consumer attitudes," Economics Letters, Elsevier, vol. 102(3), pages 161-164, March.
    20. Geweke, John, 1984. "Inference and causality in economic time series models," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 19, pages 1101-1144, Elsevier.
    21. Saidi, Abdessamad & Roy, Roch, 2008. "Robust Optimal Tests For Causality In Multivariate Time Series," Econometric Theory, Cambridge University Press, vol. 24(4), pages 948-987, August.
    Full references (including those not matched with items on IDEAS)

    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. Dufour, Jean-Marie & Pelletier, Denis & Renault, Eric, 2006. "Short run and long run causality in time series: inference," Journal of Econometrics, Elsevier, vol. 132(2), pages 337-362, June.
    2. Nishiyama, Yoshihiko & Hitomi, Kohtaro & Kawasaki, Yoshinori & Jeong, Kiho, 2011. "A consistent nonparametric test for nonlinear causality—Specification in time series regression," Journal of Econometrics, Elsevier, vol. 165(1), pages 112-127.
    3. Nick, Sebastian, 2013. "Price Formation and Intertemporal Arbitrage within a Low-Liquidity Framework: Empirical Evidence from European Natural Gas Markets," EWI Working Papers 2013-14, Energiewirtschaftliches Institut an der Universitaet zu Koeln (EWI).
    4. Sebastian Nick, 2016. "The Informational Efficiency of European Natural Gas Hubs: Price Formation and Intertemporal Arbitrage," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2).
    5. Bai, Zhidong & Li, Heng & Wong, Wing-Keung & Zhang, Bingzhi, 2011. "Multivariate causality tests with simulation and application," Statistics & Probability Letters, Elsevier, vol. 81(8), pages 1063-1071, August.
    6. Chiou-Wei, Song Zan & Chen, Ching-Fu & Zhu, Zhen, 2008. "Economic growth and energy consumption revisited -- Evidence from linear and nonlinear Granger causality," Energy Economics, Elsevier, vol. 30(6), pages 3063-3076, November.
    7. Gurgul, Henryk & Lach, Łukasz, 2012. "The association between stock market and exchange rates for advanced and emerging markets – A case study of the Swiss and Polish economies," MPRA Paper 52238, University Library of Munich, Germany.
    8. Helmut Lütkepohl, 2013. "Vector autoregressive models," Chapters, in: Nigar Hashimzade & Michael A. Thornton (ed.), Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 6, pages 139-164, Edward Elgar Publishing.
    9. Bonato, Matteo & Gupta, Rangan & Lau, Chi Keung Marco & Wang, Shixuan, 2020. "Moments-based spillovers across gold and oil markets," Energy Economics, Elsevier, vol. 89(C).
    10. Henryk Gurgul & Łukasz Lach & Roland Mestel, 2012. "The relationship between budgetary expenditure and economic growth in Poland," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 20(1), pages 161-182, March.
    11. Chu, Amanda M.Y. & Lv, Zhihui & Wagner, Niklas F. & Wong, Wing-Keung, 2020. "Linear and nonlinear growth determinants: The case of Mongolia and its connection to China," Emerging Markets Review, Elsevier, vol. 43(C).
    12. Philip Arestis & Hüseyin Şen & Ayşe Kaya, 2021. "On the linkage between government expenditure and output: empirics of the Keynesian view versus Wagner’s law," Economic Change and Restructuring, Springer, vol. 54(2), pages 265-303, May.
    13. Yazdanpanah, Ahmad, 1994. "The impact of oil price on food security in the Algeria, Iran, and Saudi Arabia: cointegration, vector-error correction model, dynamics, and causality analysis," ISU General Staff Papers 1994010108000011661, Iowa State University, Department of Economics.
    14. Magdalena Osinska, 2011. "On the Interpretation of Causality in Granger’s Sense," Dynamic Econometric Models, Uniwersytet Mikolaja Kopernika, vol. 11, pages 129-140.
    15. Bekiros, Stelios D., 2014. "Exchange rates and fundamentals: Co-movement, long-run relationships and short-run dynamics," Journal of Banking & Finance, Elsevier, vol. 39(C), pages 117-134.
    16. repec:cte:werepe:we1212 is not listed on IDEAS
    17. Apostolos Serletis & Khandokar Istiak, 2018. "Broker-dealer Leverage and the Stock Market," Open Economies Review, Springer, vol. 29(2), pages 215-222, April.
    18. Gurgul, Henryk & Lach, Łukasz, 2012. "The electricity consumption versus economic growth of the Polish economy," Energy Economics, Elsevier, vol. 34(2), pages 500-510.
    19. Dufour, Jean-Marie & Taamouti, Abderrahim, 2010. "Short and long run causality measures: Theory and inference," Journal of Econometrics, Elsevier, vol. 154(1), pages 42-58, January.
    20. Massa, Ricardo & Rosellón, Juan, 2020. "Linear and nonlinear Granger causality between electricity production and economic performance in Mexico," Energy Policy, Elsevier, vol. 142(C).
    21. Liu, Li & Wan, Jieqiu, 2012. "The relationships between Shanghai stock market and CNY/USD exchange rate: New evidence based on cross-correlation analysis, structural cointegration and nonlinear causality test," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(23), pages 6051-6059.

    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:eee:matcom:v:81:y:2010:i:1:p:5-17. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    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.