  We numerically analyze the random matrix ensembles of real-symmetric matrices
with column/row constraints for many system conditions e.g. disorder type,
matrix-size and basis-connectivity. The results reveal a rich behavior hidden
beneath the spectral statistics and also confirm our analytical predictions,
presented in part I of this paper, about the analogy of their spectral
fluctuations with those of a critical Brownian ensemble which appears between
Poisson and Gaussian orthogonal ensemble.
