  We implement global fits to LEP data with the \non interactions. Consistent
$R_b$ with experimental value and consistent $\as(M_Z^2)$ with that from low
energy experiments are obtained. We also find that the $\xx$ is better than the
Standard Model. And we argue that other kinds of new physics are needed to
explain the difference between the values of $\as(M_Z^2)$ from low energy
experiments and from the 3-jet ratio.
