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Numerical Distribution Functions For Unit Root And Cointegration Tests

Author

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  • James G. MacKinnon

    (Queen's University)

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.

Suggested Citation

  • James G. MacKinnon, 1995. "Numerical Distribution Functions For Unit Root And Cointegration Tests," Working Paper 918, Economics Department, Queen's University.
  • Handle: RePEc:qed:wpaper:918
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    File URL: https://www.econ.queensu.ca/sites/econ.queensu.ca/files/qed_wp_918.pdf
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    References listed on IDEAS

    as
    1. 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.
    2. Allan W. Gregory & David G. Watt, 1995. "Sources of Variation in International Real Interest Rates," Canadian Journal of Economics, Canadian Economics Association, vol. 28(s1), pages 120-140, November.
    3. 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, November.
    4. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    5. 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.
    6. Engle, R. F. & Granger, C. W. J. (ed.), 1991. "Long-Run Economic Relationships: Readings in Cointegration," OUP Catalogue, Oxford University Press, number 9780198283393, November.
    7. Phillips, Peter C B & Ouliaris, S, 1990. "Asymptotic Properties of Residual Based Tests for Cointegration," Econometrica, Econometric Society, vol. 58(1), pages 165-193, January.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    simulation methods; unit root tests; Dickey-Fuller tests; cointegration tests; Engle-Granger test; response surfaces; critical values; approximate P values;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

    Statistics

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