A correction factor, depending on sample size and parameters, is found for the likelihood ratio test for some linear hypotheses on the cointegrating space in a vector autoregressive model, where the adjustment coefficients are known. The main idea is to condition on the common trends when making...

Likelihood ratio tests for restrictions on contegrating vectors are asymptotically X2 distributed. For some values of the parameters this asymptotic distribution does not give a good approximation to the finite sample distribution. In this paper we derive the Bartlett correction factor for the...