A comparison of cointegration tests

Abstract

In this paper some of the cointegration tests applied to a single equation are compared. Many of the existent cointegration tests are simply extensions of the unit root tests applied to the residuals of the cointegrating regression and the habitual $H_{0}$ is no cointegration. However, some non residual-based tests and some tests of the opposite null hypothesis have recently appeared in literature. Monte Carlo simulations have been used for the power comparison of the nine selected tests ($ADF$, $\hat{Z}_{\alpha }$, $\hat{Z}_{t}$, $DHS$, $J1$, $H1$, $H2$, $C$, $LBI$) using several types of data generating processes.