When estimating a Vector Error Correction (VEC) model in EViews, the resulting output always shows the cointegrating relationserror-correction terms together with standard errors and t-values for the included variables, and I was wondering if and how these numbers matter for the results?
In my understanding, the presence of cointegration among two or more variables is determined based on the Johansen Cointegration Trace/Eigenvalue test, and the actual cointegrating relationerror correction equation(s) are then retrieved by estimating a VEC model of the variables. Following this procedure, however, all variables included in the VEC estimation enter the cointegrating relationerror correction term, even though some of them may have no long-term relation with the other variables whatsoever, and thetheir SE/t-values of the variables in the cointegrating relation change depending on the ordering specified. Do SE/t-values actually play a role in determining the correct cointegrating relation(s)?