  The primary motive of parity violating deep inelastic scattering experiments
has been to test the standard model, particularly the axial couplings to the
quarks, in the scaling region. The measurements can also test for the validity
of models for the off-diagonal structure functions $F_{1,2,3}^{\gamma
Z}(x,Q^2)$ in the resonance region. The off-diagonal structure functions are
important for the accurate calculation of the $\gamma Z$-box correction to the
weak charge of the proton. Currently, with no data to determine
$F_{1,2,3}^{\gamma Z}(x,Q^2)$ directly, models are constructed by modifying
existing fits to electromagnetic data. We present the asymmetry value for
deuteron and proton target predicted by several different $F_{1,2,3}^{\gamma
Z}(x,Q^2)$ models, and demonstrate that there are notable disagreements.
