We refine our recent analysis of the electroweak precision data at the
Z(0) pole by including the hadronic decay modes of the Z(0). Within t
he framework of an effective Lagrangian we parametrize SU(2) violation
by the additional process-specific parameters Delta y(v), Delta y(h),
and Delta y(b) (for the Z(0)v ($) over bar v, Z(0)q<($)over bar $>q,
and Z(0)b<($)over bar $>b vertices) together with the previously intro
duced parameters Delta x, Delta y, and epsilon. We find that a six-par
ameter analysis of the experimental data is indeed feasible, and it is
carried out in addition to a four-parameter fit for Delta x, Delta y,
epsilon, and Delta y(b) only. We re-emphasize that the experimental d
ata have become sensitive to the (combined) magnitude of the vertex co
rrections at the W(+)l ($) over bar v (W(-)v<($)over bar $>l) and Z(0)
l<($)over bar $>l vertices, Delta y, which is insensitive to the notio
n of the Higgs mechanism but dependent on the non-Abelian, trilinear v
ector-boson coupling. Full explicit analytical results for the standar
d one-loop predictions for the above-mentioned parameters are given, a
nd the leading two-loop top-quark effects are included. The analytic f
ormulae for the analysis of the experimental data in terms of the para
meters Delta x, Delta y etc. are presented in order to encourage exper
imentalists to persue such an analysis by themselves with future data.