  We study the probability distribution of the ratio of consecutive level
spacings for embedded one plus two-body random matrix ensembles with and
without spin degree of freedom and for both fermion and boson systems. The
agreement between the numerical results and the recently derived analytic form
for the distribution and other related quantities is found to be close. This
establishes conclusively that local level fluctuations generated by embedded
ensembles follow the results of classical Gaussian ensembles.
