  Using transfer-matrix extended phenomenological renormalization-group methods
[M.A.Yurishchev, Nucl. Phys. B (Proc. Suppl.) 83-84, 727 (2000);
hep-lat/9908019; J. Exp. Theor. Phys. 91, 332 (2000); cond-mat/0108002] the
improved estimates for the critical temperature of spin-1/2 Ising model on a
simple-cubic lattice with partly anisotropic coupling strengths ${\vec
J}=(J',J',J)$ are obtained. Universality of both fundamental critical exponents
$y_t$ and $y_h$ is confirmed. We show also that the critical finite-size
scaling amplitude ratios $A_{\chi^{(4)}}A_\kappa/A_\chi^2$,
$A_{\kappa^{''}}/A_\chi$, and $A_{\kappa^{(4)}}/A_{\chi^{(4)}}$ are independent
of the lattice anisotropy parameter $\Delta=J'/J$.
