The scheme and scale dependences of leading M(t)-dependent contributio
ns to Delta rho, Delta r, and tau, which arise because of the truncati
on of the perturbative series, are investigated by comparing expressio
ns in the on-shell and <(MS)over bar> schemes of renormalization, and
studying their scale variations. Starting from the conventional on-she
ll formulae, we find rather large scheme and scale dependences. We the
n propose a simple, physically motivated modification of the conventio
nal expressions and show that it leads to a sharp reduction in the sch
eme and scale dependences. Implications for electroweak physics are di
scussed.