The Standard Model global fit to precision data is excellent. The Mini
mal Supersymmetric Standard Model can also fit the data well, though n
ot as well as the Standard Model. At best, supersymmetric contribution
s either decouple or only slightly decrease the total chi(2), at the e
xpense of decreasing the number of degrees of freedom. In general, reg
ions of parameter space with large supersymmetric corrections from lig
ht superpartners are associated with poor fits to the data. We contras
t results of a simple (oblique) approximation with full one-loop resul
ts, and show that for the most important observables the non-oblique c
orrections can be larger than the oblique corrections, and must be tak
en into account. We elucidate the regions of parameter space in both g
ravity- and gauge-mediated models which are excluded. Significant regi
ons of parameter space are excluded, especially with positive supersym
metric mass parameter mu. We give a complete listing of the bounds on
all the superpartner and Higgs boson masses. For either sign of mu, an
d for all supersymmetric models considered, we set a lower limit on th
e mass of the lightest CP-even Higgs scaler, m(h) greater than or equa
l to 78 GeV. Also, the first and second generation squark masses are c
onstrained to be above 280 (325) GeV in the supergravity (gauge-mediat
ed) model. (C) 1998 Elsevier Science B.V.