Testing linear restrictions on cointegration vectors: Sizes and powers of Wald tests in finite samples

Alfred Haug

No 1999,04, Technical Reports from Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen

Abstract: The Wald test for linear restrictions on cointegrating vectors is compared infinite samples using the Monte Carlo method. The Wald test within the vector error-correction based methods of Bewley et al (1994) and of Johansen (1991), the canonical cointegration method of Park (1992) the dynamic ordinary least squares method of Phillips and Loretan (1991), Saikkonen (1991) and Stock and Watson (1993) the fully modified ordinary least squares method of Phillips and Hansen (1990) and the band spectral techniques of Phillips (1991) are considered. In terms of test size Johansen’s method seems to be preferred and in terms of test power it is Park’s and Phillips’. However the relatively poor results in the context of cointegrating regressions suggest that improvements on the performance of the Wald tests considered here are needed.

Date: 1999
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