We present numerical testing results of our mass function derived in our previous paper , and compare the testing results with those of the popular Press-Schechter ( PS ) mass function .
Two fiducial models are considered for the test : the scale-free power-law spectra P ( k ) \propto k ^ { n } with spectral indices n = -1 , 0 and the standard cold dark matter ( SCDM ) model with \Omega = 1 and h = 0.5 .
For the power-law models , we use numerical data averaged over several different output times : ten output times from two N-body realizations for the n = -1 power-law model ; four outputs from one realization for the n = 0 model .
While for the SCDM model , we consider four outputs separately at redshifts z = 0 , 0.43 , 1.14 and 1.86 from one large N-body simulations .
The comparison results show that our mass function fits the numerical data in a much improved way over the PS one .
Thus , we expect that our mass function can be a viable alternative of the PS mass function in applications to various areas .

\keywords cosmology : theory — large-scale structure of universe