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Numerical Distribution Functions for Unit Root and Cointegration Tests

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  • James G. MacKinnon

Abstract

This paper employs response surface regressions based on simulation experiments to calculate distribution functions for some well-known unit root and cointegration test statistics. The principal contributions of the paper are a set of data files that contain estimated response surface coefficients and a computer program for utilizing them. This program, which is freely available via the Internet, can easily be used to calculate both asymptotic and finite-sample critical values and P values for any of the tests. Graphs of some of the tabulated distribution functions are provided. There is also an empirical example.

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File URL: http://qed.econ.queensu.ca/working_papers/papers/qed_wp_918.pdf
File Function: First version 1995
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Bibliographic Info

Paper provided by Queen's University, Department of Economics in its series Working Papers with number 918.

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Length: 26 pages
Date of creation: Jan 1995
Date of revision:
Handle: RePEc:qed:wpaper:918

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Keywords: unit root tests; Dickey-Fuller tests; cointegration tests; Engle-Granger test; response surfaces; critical values; approximate P values; simulation methods;

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References

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  1. Banerjee, Anindya & Dolado, Juan J. & Galbraith, John W. & Hendry, David, 1993. "Co-integration, Error Correction, and the Econometric Analysis of Non-Stationary Data," OUP Catalogue, Oxford University Press, number 9780198288107, July.
  2. Jeroen J.M. Kremers & Neil R. Ericsson & Juan J. Dolado, 1992. "The power of cointegration tests," International Finance Discussion Papers 431, Board of Governors of the Federal Reserve System (U.S.).
  3. Ghysels, Eric & Perron, Pierre, 1993. "The effect of seasonal adjustment filters on tests for a unit root," Journal of Econometrics, Elsevier, vol. 55(1-2), pages 57-98.
  4. Pierse, R. G. & Snell, A. J., 1995. "Temporal aggregation and the power of tests for a unit root," Journal of Econometrics, Elsevier, vol. 65(2), pages 333-345, February.
  5. Engle, R. F. & Granger, C. W. J. (ed.), 1991. "Long-Run Economic Relationships: Readings in Cointegration," OUP Catalogue, Oxford University Press, number 9780198283393, July.
  6. Allan W. Gregory & David G. Watt, 1995. "Sources of Variation in International Real Interest Rates," Working Papers 923, Queen's University, Department of Economics.
  7. Peter C.B. Phillips & Sam Ouliaris, 1987. "Asymptotic Properties of Residual Based Tests for Cointegration," Cowles Foundation Discussion Papers 847R, Cowles Foundation for Research in Economics, Yale University, revised Jul 1988.
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