  We have computed the spectral number variances of an extended random matrix
ensemble predicted by Guhr's supersymmetry formula, showing a non-monotone
increase of the curves that arises from an "overshoot" of the two-level
correlation function above unity. On the basis of the most general form of
$N$-level joint distribution that meets sound probabilistic conditions on
matrix spaces, the above characteristic may be attributed to the {\it
attractiveness} of the pair potential in long range($E >$ Thouless energy) of
the underlying level gas. The approach of level dynamics indicates that the
result is "anti-screening" of the level repulsion in short-range statistics of
the usual random matrix prediction until the joint level distribution undergoes
a phase transition (the Anderson transition).
