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Multiple Comparisons and Joint Significance in Panel Unit Root Testing with Evidence on International Interest Rate Linkage

Author

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  • Hassler Uwe

    (Statistik und Methoden der Ökonometrie, Goethe-Universität Frankfurt, RuW-Gebäude, Grüneburgplatz 1, 60323 Frankfurt, Germany)

  • Werkmann Verena

    (Goethe-Universität Frankfurt, RuW-Gebäude, Grüneburgplatz 1, 60323 Frankfurt, Germany)

Abstract

This paper adds to the issue of inference regarding potentially nonstationary panels where units are correlated. Recently, it has been proposed to tackle this problem by computing individual p-values and combining them to an overall joint significance. We adopt and illustrate this fairly general approach allowing for competing means to account for cross-correlation when analyzing samples of N = 10 international interest rate differentials of different maturities. Alternatively, we investigate the approach of multiple testing or multiple comparison that has rarely been employed in econometrics. The advantages are that the computation of p-values is not necessarily required, and that one may identify for which specific unit a null hypothesis of interest may be considered as violated while controlling the overall significance level of the multiple testing problem. This comes at the price of an increased computational burden.

Suggested Citation

  • Hassler Uwe & Werkmann Verena, 2014. "Multiple Comparisons and Joint Significance in Panel Unit Root Testing with Evidence on International Interest Rate Linkage," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 234(1), pages 23-43, February.
    • Handle: RePEc:jns:jbstat:v:234:y:2014:i:1:p:23-43
    DOI: 10.1515/jbnst-2014-0104
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    References listed on IDEAS

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    1. Joseph P. Romano & Michael Wolf, 2005. "Stepwise Multiple Testing as Formalized Data Snooping," Econometrica, Econometric Society, vol. 73(4), pages 1237-1282, July.
    2. 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.
    3. Anders Rygh Swensen, 2003. "Bootstrapping unit root tests for integrated processes," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(1), pages 99-126, January.
    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. Yoosoon Chang & Joon Y. Park, 2003. "A Sieve Bootstrap For The Test Of A Unit Root," Journal of Time Series Analysis, Wiley Blackwell, vol. 24(4), pages 379-400, July.
    6. Moon, H.R. & Perron, B., 2012. "Beyond panel unit root tests: Using multiple testing to determine the nonstationarity properties of individual series in a panel," Journal of Econometrics, Elsevier, vol. 169(1), pages 29-33.
    7. 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.
    8. repec:bla:reviec:v:9:y:2001:i:3:p:505-17 is not listed on IDEAS
    9. Jörg Breitung & Samarjit Das, 2005. "Panel unit root tests under cross‐sectional dependence," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 59(4), pages 414-433, November.
    10. Joseph P. Romano & Michael Wolf, "undated". "Control of Generalized Error Rates in Multiple Testing," IEW - Working Papers 245, Institute for Empirical Research in Economics - University of Zurich.
    11. Joseph Romano & Azeem Shaikh & Michael Wolf, 2008. "Control of the false discovery rate under dependence using the bootstrap and subsampling," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 17(3), pages 417-442, November.
    12. 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.
    13. Brüggemann, Ralf & Lütkepohl, Helmut, 2005. "Uncovered interest rate parity and the expectations hypothesis of the term structure: Empirical results for the US and Europe," SFB 649 Discussion Papers 2005-035, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    14. László Mátyás & Patrick Sevestre (ed.), 2008. "The Econometrics of Panel Data," Advanced Studies in Theoretical and Applied Econometrics, Springer, number 978-3-540-75892-1.
    15. Gebhard Kirchgässner & Jürgen Wolters & Uwe Hassler, 2013. "Introduction to Modern Time Series Analysis," Springer Texts in Business and Economics, Springer, edition 2, number 978-3-642-33436-8, April.
    16. Verena Werkmann, 2013. "Performance of unit root tests in unbalanced panels: experimental evidence," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 97(3), pages 271-285, July.
    17. repec:bla:obuest:v:61:y:1999:i:0:p:631-52 is not listed on IDEAS
    18. Christoph Hanck, 2009. "Cross-sectional correlation robust tests for panel cointegration," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(7), pages 817-833.
    19. Menzie D. Chinn & Guy Meredith, 2004. "Monetary Policy and Long-Horizon Uncovered Interest Parity," IMF Staff Papers, Palgrave Macmillan, vol. 51(3), pages 409-430, November.
    20. Kirchgassner, Gebhard & Wolters, Jurgen, 1995. "Interest Rate Linkages in Europe before and after the Introduction of the European Monetary System: Some Empirical Results," Empirical Economics, Springer, vol. 20(3), pages 435-454.
    21. Choi, In, 2001. "Unit root tests for panel data," Journal of International Money and Finance, Elsevier, vol. 20(2), pages 249-272, April.
    22. Patrick Sevestre & Laszlo Matyas, 2008. "The Econometrics of Panel Data," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00279977, HAL.
    23. Annika Alexius, 2001. "Uncovered Interest Parity Revisited," Review of International Economics, Wiley Blackwell, vol. 9(3), pages 505-517, August.
    24. G. S. Maddala & Shaowen Wu, 1999. "A Comparative Study of Unit Root Tests with Panel Data and a New Simple Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(S1), pages 631-652, November.
    25. 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.
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