We apply a quasi-model-independent strategy ("SLEUTH") to search for new hi
gh p(T) physics in approximate to 100 pb(-1) of p (p) over bar collisions a
t roots = 1.8 TeV collected by the D empty set experiment during 1992-1996
at thr Fermilab Tevatron. Over 32 e muX, W+jets-like, Z+jets-like, and (ll
gamma)(ll gamma)(ll gamma )X exclusive final states are systematically anal
yzed for hints of physics beyond the standard model. Simultaneous sensitivi
ty to a variety of models predicting new phenomena at the electroweak scale
is demonstrated by testing the method on a particular signature in each se
t of final states. No evidence of new high p(T) physics is observed in the
course of this search, and we find that 89% of an ensemble of hypothetical
similar experimental runs would have produced a final state with a candidat
e signal more interesting than the most interesting observed in these data.