  We study large extra dimension effects on the polarizations of the $W$ pair
and electron beam at the $e^+ e^-\to W^+ W^-$ process. It is shown that the
measurements of the cross section for transversely polarized $W$ pair with the
right-handed electron beam remarkably enhance the possibilities to see the low
scale quantum gravity effects. Higher Linear Collider bounds on the string
scale in this model can be obtained by using the left-handed electron beam.
