IDEAS home Printed from https://ideas.repec.org/p/imk/wpaper/199-2019.html
   My bibliography  Save this paper

On (bootstrapped) cointegration tests in partial systems

Author

Listed:
  • Sven Schreiber

Abstract

As applied cointegration analysis faces the challenge that (a) potentially relevant variables are unobservable and (b) it is uncertain which covariates are relevant, partial systems are often used and potential (stationary) covariates are ignored. Recently it has been argued that a nominally significant cointegration outcome using the bootstrapped rank test (Cavaliere, Rahbek, and Taylor, 2012) in a bivariate setting might be due to test size distortions when a larger data-generating process (DGP) with covariates is assumed. This study reviews the issue systematically and generally finds noticeable but only mild size distortions, even when the specified DGP includes a large borderline stationary root. The previously found drastic test size problems in an application of a long-run Phillips curve (inflation and unemployment in the euro area) appear to hinge on the particular construction of a time series for the output gap as a covariate. We conclude that the problems of the bootstrapped rank test are not severe and that it is still to be recommended for applied research.

Suggested Citation

  • Sven Schreiber, 2019. "On (bootstrapped) cointegration tests in partial systems," IMK Working Paper 199-2019, IMK at the Hans Boeckler Foundation, Macroeconomic Policy Institute.
    • Handle: RePEc:imk:wpaper:199-2019
    as

    Download full text from publisher

    File URL: http://www.boeckler.de/pdf/p_imk_wp_199_2019.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Giuseppe Cavaliere & Anders Rahbek & A. M. Robert Taylor, 2014. "Bootstrap Determination of the Co-Integration Rank in Heteroskedastic VAR Models," Econometric Reviews, Taylor & Francis Journals, vol. 33(5-6), pages 606-650, August.
    2. Saikkonen, Pentti & Luukkonen, Ritva, 1997. "Testing cointegration in infinite order vector autoregressive processes," Journal of Econometrics, Elsevier, vol. 81(1), pages 93-126, November.
    3. Swensen, Anders Rygh, 2011. "A bootstrap algorithm for testing cointegration rank in VAR models in the presence of stationary variables," Journal of Econometrics, Elsevier, vol. 165(2), pages 152-162.
    4. Harbo, Ingrid, et al, 1998. "Asymptotic Inference on Cointegrating Rank in Partial Systems," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(4), pages 388-399, October.
    5. Benati, Luca, 2015. "The long-run Phillips curve: A structural VAR investigation," Journal of Monetary Economics, Elsevier, vol. 76(C), pages 15-28.
    6. Kilian,Lutz & Lütkepohl,Helmut, 2018. "Structural Vector Autoregressive Analysis," Cambridge Books, Cambridge University Press, number 9781107196575, October.
    7. Soren Johansen, 2002. "A Small Sample Correction for the Test of Cointegrating Rank in the Vector Autoregressive Model," Econometrica, Econometric Society, vol. 70(5), pages 1929-1961, September.
    8. Giuseppe Cavaliere & Anders Rahbek & A. M. Robert Taylor, 2012. "Bootstrap Determination of the Co‐Integration Rank in Vector Autoregressive Models," Econometrica, Econometric Society, vol. 80(4), pages 1721-1740, July.
    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. Benati, Luca & Lucas, Robert E. & Nicolini, Juan Pablo & Weber, Warren, 2021. "International evidence on long-run money demand," Journal of Monetary Economics, Elsevier, vol. 117(C), pages 43-63.
    2. Schreiber, Sven, 2018. "Are bootstrapped cointegration test findings unreliable?," Discussion Papers 2018/8, Free University Berlin, School of Business & Economics.
    3. Luca Benati, 2017. "Cointegration Tests and the Classical Dichotomy," Diskussionsschriften dp1704, Universitaet Bern, Departement Volkswirtschaft.
    4. Jesús Otero & Theodore Panagiotidis & Georgios Papapanagiotou, 2022. "Multivariate Cointegration and Temporal Aggregation: Some Further Simulation Results," Computational Economics, Springer;Society for Computational Economics, vol. 59(1), pages 59-70, January.
    5. Luca Benati & Robert E. Lucas & Juan Pablo Nicolini & Warren E. Weber, 2017. "Online Appendix for: International Evidence on Long-Run Money Demand," Working Papers 738, Federal Reserve Bank of Minneapolis.
    6. Luca Benati & Peter N. Ireland, 2017. "Money-Multiplier Shocks," Boston College Working Papers in Economics 933, Boston College Department of Economics.
    7. Gunnar Bårdsen & Luca Fanelli, 2015. "Frequentist Evaluation of Small DSGE Models," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 33(3), pages 307-322, July.
    8. Keblowski, Piotr & Welfe, Aleksander, 2010. "Estimation of the equilibrium exchange rate: The CHEER approach," Journal of International Money and Finance, Elsevier, vol. 29(7), pages 1385-1397, November.
    9. Benati, Luca, 2015. "The long-run Phillips curve: A structural VAR investigation," Journal of Monetary Economics, Elsevier, vol. 76(C), pages 15-28.
    10. Mallory Mindy & Lence Sergio H., 2012. "Testing for Cointegration in the Presence of Moving Average Errors," Journal of Time Series Econometrics, De Gruyter, vol. 4(2), pages 1-68, November.
    11. Marcus J. Chambers, 2015. "A Jackknife Correction to a Test for Cointegration Rank," Econometrics, MDPI, vol. 3(2), pages 1-21, May.
    12. Luca Benati, 2018. "Cagan s Paradox Revisited," Diskussionsschriften dp1826, Universitaet Bern, Departement Volkswirtschaft.
    13. Kascha, Christian & Trenkler, Carsten, 2011. "Bootstrapping the likelihood ratio cointegration test in error correction models with unknown lag order," Computational Statistics & Data Analysis, Elsevier, vol. 55(2), pages 1008-1017, February.
    14. Chisiridis, Konstantinos & Mouratidis, Kostas & Panagiotidis, Theodore, 2022. "The north-south divide, the euro and the world," Journal of International Money and Finance, Elsevier, vol. 121(C).
    15. Anna Bykhovskaya & Vadim Gorin, 2020. "Cointegration in large VARs," Papers 2006.14179, arXiv.org, revised Dec 2021.
    16. Guillaume Chevillon, 2017. "Robust cointegration testing in the presence of weak trends, with an application to the human origin of global warming," Econometric Reviews, Taylor & Francis Journals, vol. 36(5), pages 514-545, May.
    17. Belongia, Michael T. & Ireland, Peter N., 2019. "The demand for Divisia Money: Theory and evidence," Journal of Macroeconomics, Elsevier, vol. 61(C), pages 1-1.
    18. Boswijk, H. Peter & Cavaliere, Giuseppe & Rahbek, Anders & Taylor, A.M. Robert, 2016. "Inference on co-integration parameters in heteroskedastic vector autoregressions," Journal of Econometrics, Elsevier, vol. 192(1), pages 64-85.
    19. Theologos Pantelidis & Nikitas Pittis, 2009. "Estimation and forecasting in first-order vector autoregressions with near to unit roots and conditional heteroscedasticity," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 28(7), pages 612-630.
    20. Qihui Chen & Zheng Fang, 2018. "Improved Inference on the Rank of a Matrix," Papers 1812.02337, arXiv.org, revised Mar 2019.

    More about this item

    Keywords

    bootstrap; cointegration rank test; empirical size;
    All these keywords.

    JEL classification:

    • 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
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:imk:wpaper:199-2019. 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: Sabine Nemitz (email available below). General contact details of provider: https://edirc.repec.org/data/imkhbde.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.