  We calculate, using a Z-peak subtracted representation of four-fermion
processes previously illustrated for the case of electron-positron annihilation
into charged lepton-antilepton, the corresponding expressions of the new
physics contributions for the case of final quark-antiquark states, allowing
the possibility of both universal and non universal effects. We show that, in
each case, the main result obtained for the final lepton channel can be
generalized, so that every experimentally measurable quantity can be expressed
in terms of input parameters \underline{measured} on Z resonance, of
$\alpha(0)$ and of a small number of subtracted one loop expressions. Some
examples of models are considered for several c.m. energy values, showing that
remarkable simplifications are often introduced by our approach. In particular,
for the case of a dimension-six lagrangian with anomalous gauge couplings, the
same reduced number of parameters that would affect the observables of final
leptonic states are essentially retained when one moves to final hadronic
states. This leads to great simplifications in the elaboration of constraints
and, as a gratifying byproduct, to the possibility of making the signal from
these models clearly distinguishable from those from other (both universal and
non universal) competitors.
