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International Finance Discussion Papers
The International Finance Discussion Papers logo links to the International Finance Discussion Papers home page Distributions of Error Correction Tests for Cointegration
Neil R. Ericsson and James G. MacKinnon
1999-655  (December 1999)

Abstract:  This paper provides cumulative distribution functions, densities, and finite sample critical values for the single-equation error correction statistic for testing cointegration. Graphs and response surfaces summarize extensive Monte Carlo simulations and highlight simple dependencies of the statistic's quantiles on the number of variables in the error correction model, the choice of deterministic components, and the estimation sample size. The response surfaces provide a convenient way for calculating finite sample critical values at standard levels; and a computer program, freely available over the Internet, can be used to calculate both critical values and p-values. Three empirical examples illustrate these tools.

Full paper (5047 KB Postscript) | Full paper (696 KB PDF)

Keywords
critical value, distribution function, Monte Carlo, response surface.

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Last update: July 19, 2001