Can One Extract the Neutrino Oscillation Signature from the SuperKamiokande Experiment ? An Analysis of Neutrino Events Occurring outside the Detector

The SuperKamiokande group assert that they have found an oscillatory signature in atmospheric neutrinos through the analysis of \textit{Fully Contained Events} and \textit{Partially Contained Events}. We have performed an $L/E$ (length/energy) analysis of \textit{Upward Through-Going Muon Events} and \textit{Stopping Muon Events} in a numerical computer simulations both with and without neutrino oscillations but were unable to find an oscillatory signature. We give likely explanations for the absence of the oscillatory signature in our simulations and its apparent presence in the SuperKamiokande data.