  The statistical properties of energy eigenvalues in the critical regime of
the lowest Landau band are investigated. The nearest neighbour level spacing
distribution $P(s)$ and the Mehta quantity $I_0$, from which the scaling
exponent $\nu$ of the correlation length can be derived, are calculated. While
$P(s)$ disagrees with recent analytical predictions, $\nu$ is found to be in
agreement with theoretical and experimental results.
