The multivariate time series model you choose to describe your data depends on whether there are cointegrating relations among the response series. For more details, see Cointegration and Error Correction Analysis.
Cointegration and Error Correction Analysis
Learn about cointegrated time series and error correction models.
Identifying Single Cointegrating Relations
The Engle-Granger test for cointegration and its limitations.
Test for Cointegration Using the Engle-Granger Test
Test the null hypothesis that there are no cointegrating relationships among the response series composing a multivariate model.
Identifying Multiple Cointegrating Relations
Learn about the Johansen test for cointegration.
Test for Cointegration Using the Johansen Test
Assess whether a multivariate time series has multiple cointegrating relations using the Johansen test.
Compare Approaches to Cointegration Analysis
Compare Johansen and Engle-Granger approaches to cointegration analysis.
Testing Cointegrating Vectors and Adjustment Speeds
Learn testing linear constraints on cointegrating relations and adjustment speeds about using the Johansen framework.
Conduct tests on cointegrating vectors.
Conduct tests on adjustment speeds.
Determine Cointegration Rank of VEC Model
Compute and interpret the cointegration rank of a VEC model.
Estimate VEC Model Parameters Using egcitest
Estimate the parameters of a VEC model.
Estimate VEC Model Parameters Using jcitest
Produce maximum likelihood estimates of VEC model coefficients under the rank restrictions on the cointegrating matrix.