  The entanglement entropy of $\nu=1/2$ and $\nu=9/2$ quantum Hall states in
the presence of short range disorder has been calculated by direct
diagonalization. Spin polarized electrons are confined to a single Landau level
and interact with long range Coulomb interaction. For $\nu=1/2$ the
entanglement entropy is a smooth monotonic function of disorder strength. For
$\nu=9/2$ the entanglement entropy is non monotonic suggestive of a
solid-liquid phase transition. As a model of the transition at $\nu=1/2$ free
fermions with disorder in 2 dimensions were studied. Numerical evidence
suggests the entanglement entropy scales as $L$ rather than the $L \ln{L}$ as
in the disorder free case.
