Recent research has emphasized the poor finite-sample performance of t
he instrumental variables (IV) estimator when the instruments are weak
ly correlated with the regressors. We show how the canonical correlati
ons between regressors and instruments can provide a measure of instru
ment relevance in the general multiple-instrument-multiple-regressor c
ase. However, our simulation results indicate that any such relevance
measure probably has little practical merit, as its use may actually e
xacerbate the poor finite-sample properties of the IV estimator.