Tests for causality between integrated variables using asymptotic and bootstrap distributions: theory and application
Causality tests in the Granger's sense are increasingly applied in empirical research. Since the unit root revolution in time-series analysis, several modifications of tests for causality have been introduced in the literature. One of the recent developments is the Toda-Yamamoto modified Wald (MWALD) test, which is attractive due to its simple application, its absence of pre-testing distortions, and its basis on a standard asymptotical distribution irrespective of the number of unit roots and the cointegrating properties of the data. This study investigates the size properties of the MWALD test and finds that in small sample sizes this test performs poorly on those properties when using its asymptotical distribution, the chi-square. It is suggested that use be made of a leveraged bootstrap distribution to lower the size distortions. Monte Carlo simulation results show that an MWALD test based on a bootstrap distribution has much smaller size distortions than corresponding cases when the asymptotic distribution is used. These results hold for different sample sizes, integration orders, and error term processes (homoscedastic or ARCH). This new method is applied to the testing of the efficient market hypothesis.
Volume (Year): 38 (2006)
Issue (Month): 13 ()
|Contact details of provider:|| Web page: http://www.tandfonline.com/RAEC20|
|Order Information:||Web: http://www.tandfonline.com/pricing/journal/RAEC20|
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Hsiu-Yun Lee & Kenneth Lin & Jyh-Lin Wu, 2002. "Pitfalls in using Granger causality tests to find an engine of growth," Applied Economics Letters, Taylor & Francis Journals, vol. 9(6), pages 411-414.
- Yamada, Hiroshi & Toda, Hiro Y., 1998. "Inference in possibly integrated vector autoregressive models: some finite sample evidence," Journal of Econometrics, Elsevier, vol. 86(1), pages 55-95, June.
- Ralf Ostermark & Jaana Aaltonen, 1999. "Comparison of univariate and multivariate Granger causality in international asset pricing. Evidence from Finnish and Japanese financial economies," Applied Financial Economics, Taylor & Francis Journals, vol. 9(2), pages 155-165.
- Phillips, P.C.B., 1986.
"Understanding spurious regressions in econometrics,"
Journal of Econometrics,
Elsevier, vol. 33(3), pages 311-340, December.
- Peter C.B. Phillips, 1985. "Understanding Spurious Regressions in Econometrics," Cowles Foundation Discussion Papers 757, Cowles Foundation for Research in Economics, Yale University.
- Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
- Perron, P, 1988. "The Great Crash, The Oil Price Shock And The Unit Root Hypothesis," Papers 338, Princeton, Department of Economics - Econometric Research Program.
- Granger, C. W. J., 1981. "Some properties of time series data and their use in econometric model specification," Journal of Econometrics, Elsevier, vol. 16(1), pages 121-130, May.
- Granger, C. W. J., 1988. "Some recent development in a concept of causality," Journal of Econometrics, Elsevier, vol. 39(1-2), pages 199-211.
- Granger, C. W. J. & Newbold, P., 1974. "Spurious regressions in econometrics," Journal of Econometrics, Elsevier, vol. 2(2), pages 111-120, July.
- Alain Hecq, 1996. "IGARCH effect on autoregressive lag length selection and causality tests," Applied Economics Letters, Taylor & Francis Journals, vol. 3(5), pages 317-323.
- Toda, Hiro Y. & Yamamoto, Taku, 1995. "Statistical inference in vector autoregressions with possibly integrated processes," Journal of Econometrics, Elsevier, vol. 66(1-2), pages 225-250.
- R. Scott Hacker & Abdulnasser Hatemi-J, 2005. "A test for multivariate ARCH effects," Applied Economics Letters, Taylor & Francis Journals, vol. 12(7), pages 411-417.
- Abdulnasser Hatemi-J & Eduardo Roca, 2004. "An examination of the equity market price linkage between Australia and the European Union using leveraged bootstrap method," The European Journal of Finance, Taylor & Francis Journals, vol. 10(6), pages 475-488.
- Hatemi-J, Abdulnasser, 2004. "Multivariate tests for autocorrelation in the stable and unstable VAR models," Economic Modelling, Elsevier, vol. 21(4), pages 661-683, July.
- Jurgen A. Doornik & Henrik Hansen, 2008. "An Omnibus Test for Univariate and Multivariate Normality," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 70(s1), pages 927-939, December.
- Jurgen A Doornik & Henrik Hansen, "undated". "An omnibus test for univariate and multivariate normalit," Economics Papers W4&91., Economics Group, Nuffield College, University of Oxford.
- Hatemi-J, Abdulnasser, 2004. "Is the Equity Market Informationally Efficient in Japan? Evidence from Leveraged Bootstrap Analysis," Economia Internazionale / International Economics, Camera di Commercio Industria Artigianato Agricoltura di Genova, vol. 57(4), pages 461-473.
- Abdulnasser Hatemi-J & Eduardo Roca, 2005. "Exchange rates and stock prices interaction during good and bad times: evidence from the ASEAN4 countries," Applied Financial Economics, Taylor & Francis Journals, vol. 15(8), pages 539-546.
- Abdulnasser Hatemi-J & Manuchehr Irandoust, 2006. "A bootstrap-corrected causality test: another look at the money–income relationship," Empirical Economics, Springer, vol. 31(1), pages 207-216, March. Full references (including those not matched with items on IDEAS)
When requesting a correction, please mention this item's handle: RePEc:taf:applec:v:38:y:2006:i:13:p:1489-1500. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Michael McNulty)
If references are entirely missing, you can add them using this form.