We study the implications of possible off-peak measurements in the 199
5 LEP run, in regard to probing physics beyond the Standard Model, To
do so, we determine the accuracy with which various nonstandard coupli
ngs can be expected to be measured in the three different scan scenari
os recently discussed by Clarke and Wyatt. We find that each scan scen
ario allows greater sensitivity to a different set of new physics coup
lings. Oblique parameters are best measured with the longest scan, whi
le nonstandard fermion couplings to the Z(0) tend to be better constra
ined (albeit only marginally) if all of the 1995 LEP measurements are
taken on the Z(0) peak.