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A simple investigation of the Granger-causality test in integrated-cointegrated VAR systems

  • Ghazi Shukur
  • Panagiotis Mantalos

The size and power of various generalization tests for the Granger-causality in integrated-cointegrated VAR systems are considered. By using Monte Carlo methods, properties of eight versions of the test are studied in two different forms, the standard form and the modified form by Dolado & Lutkepohl (1996) in a study confined to properties of the Wald test only. In their study as well as in ours, both the standard and the modified Wald tests are shown to perform badly especially in small samples. We find, however, that the corrected LR tests exhibit correct size even in small samples. The power of the test is higher when the true VAR(2) model is estimated, and the modified test loses information by estimating the extra coefficients. The same is true when considering the power results in the VAR(3) model, and the power of the tests is somewhat lower than those in the VAR(2).

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Article provided by Taylor & Francis Journals in its journal Journal of Applied Statistics.

Volume (Year): 27 (2000)
Issue (Month): 8 ()
Pages: 1021-1031

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Handle: RePEc:taf:japsta:v:27:y:2000:i:8:p:1021-1031
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  1. Dolado, J.J. & Lutkepohl, H., 1994. "Making Wald Tests Work for Cointegrated Var Systems," Papers 9424, Centro de Estudios Monetarios Y Financieros-.
  2. Peter C.B. Phillips & Joon Y. Park, 1986. "Statistical Inference in Regressions with Integrated Processes: Part 2," Cowles Foundation Discussion Papers 819R, Cowles Foundation for Research in Economics, Yale University, revised Feb 1987.
  3. Toda, Hiro Y. & Phillips, Peter C. B., 1993. "The spurious effect of unit roots on vector autoregressions : An analytical study," Journal of Econometrics, Elsevier, vol. 59(3), pages 229-255, October.
  4. Sims, Christopher A & Stock, James H & Watson, Mark W, 1990. "Inference in Linear Time Series Models with Some Unit Roots," Econometrica, Econometric Society, vol. 58(1), pages 113-44, January.
  5. Hiro Y. Toda & Peter C.B. Phillips, 1991. "Vector Autoregression and Causality," Cowles Foundation Discussion Papers 977, Cowles Foundation for Research in Economics, Yale University.
  6. Zapata, Hector O. & Rambaldi, Alicia N., 1996. "Monte Carlo Evidence On Cointegration And Causation," Staff Papers 31690, Louisiana State University, Department of Agricultural Economics and Agribusiness.
  7. Phillips, Peter C B, 1995. "Fully Modified Least Squares and Vector Autoregression," Econometrica, Econometric Society, vol. 63(5), pages 1023-78, September.
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