  Many types of new physics can lead to contact interaction-like modifications
in $e^+e^-$ processes below direct production threshold. We examine the
possibility of uniquely identifying the effects of graviton exchange from
amongst this large set of models by using the moments of the angular
distribution of the final state particles. In the case of $e^+e^-\to f\bar
f(W^+W^-)$ we demonstrate that this technique allows for the unique
identification of the graviton exchange signature at the $5\sigma$ level for
mass scales as high as $6(2.5)\sqrt s$.
