  Previous form-factor-based analyses of $e^+e^-\to W^+W^-$ have focused upon
non-standard contributions to the $WWZ$ and $WW\gamma$ vertices. A more
complete form-factor-based formalism is presented which allows for more general
corrections, including t-channel corrections. The form factors are then
calculated from an effective Lagrangian. Because the existence or non-existence
of a light physical Higgs boson has not yet been established, both a linearly
realized and a non-linearly realized effective Lagrangian are employed. In
either scenario deviations from the Standard Model occur not only in W-pair
production, but in other sectors as well. Effects in W-pair production are
related to effects detected/constrained by the electroweak precision
measurements. With either realization of the symmetry-breaking sector seven
operators contribute to the process $e^+e^-\to W^+W^-$. In the linear
(non-linear) realization, four (three) of these operators are already
stringently constrained via their contributions to processes with four external
fermions. As a result the parameter space which must be explored is manageable.
