  We determine the critical point and the ratios $\beta/\nu$ and $\gamma/\nu$
of critical exponents of the deconfinement transition in $SU(2)$ gauge theory
by applying the $\chi^2$-method to Monte Carlo data of the modulus and the
square of the Polyakov loop. With the same technique we find from the Binder
cumulant $g_r$ its universal value at the critical point in the thermodynamical
limit to $-1.403(16)$ and for the next-to-leading exponent $\omega=1\pm0.1$.
From the derivatives of the Polyakov loop dependent quantities we estimate then
$1/\nu$. The result from the derivative of $g_r$ is $1/\nu=0.63\pm0.01$, in
complete agreement with that of the $3d$ Ising model.
