  Most studies of the potential for discovery of superpartners at the Fermilab
Tevatron or CERN LHC have focused on the so-called mSUGRA (minimal supergravity
mediated supersymmetry breaking) model, not because it is well motivated but
because it has a minimal number of parameters. If signals are seen that could
be superpartners, most analyses will attempt to interpret them in the mSUGRA
framework since the needed software and computational tools exist. With only a
few signal channels, and initially large statistical and systematic errors, it
is very likely that an mSUGRA interpretation will look all right even if it is
not. We present an approach to studying any potential signals of new physics in
``inclusive signature space'' that sensitively tests any proposed
interpretation, and apply it to the mSUGRA case. The approach also has
significant experimental advantages, reducing the sensitivity to jet energy
corrections, dependence on beam luminosity, and other systematics. Basically,
if one (or more) instances of reported data lies outside certain bounded
regions of inclusive signature space characteristic of the physics being
tested, that physics is excluded for any parameters. The approach can be used
to study supersymmetry breaking and to point to the form of the underlying
theory even without detailed measurements of a number of important parameters
which will be difficult or impossible to measure at hadron colliders.
