Gregory, Allan W.; Haug, Alfred A.; Lomuto, Nicoletta - In: Journal of Applied Econometrics 19 (2004) 1, pp. 89-98
This paper illustrates that, under the null hypothesis of no cointegration, the correlation of p-values from a single-equation residual-based test (i.e., ADF or <UEQN LOC="INLINE" NOTAT="TEX">$\widehat{Z}_{\alpha}$</UEQN>) with a system-based test (trace or maximum eigenvalue) is very low even as the sample size gets large. With...</ueqn>