  We point out a set of operator identities that relate the operators
corresponding to the oblique corrections to operators that modify fermion
couplings to the gauge bosons as well as operators that modify triple gauge
boson couplings. Such identities are simple consequences of the equations of
motion. Therefore the contributions from new physics to the oblique parameters
can be disguised as modifications of triple gauge boson couplings provided the
fermion couplings to the gauge bosons are suitably modified by higher
dimensional operators. Since the experimental constraints on triple gauge boson
couplings are much weaker than the constraints on the oblique parameters this
observation allows extra room for model building. We derive operator relations
in effective theories of the Standard Model with the electroweak symmetry
either linearly or nonlinearly realized and discuss applications of our
results.
