  The resistivity tensor correlations $\rho_{xy}$($B$)$\sim$
$[\rho_{xx}(B)]^\beta$ for the mixed state magnetic field dependencies of the
resistivity tensor of electron-doped Nd$_{2-x}$Ce$_x$CuO$_{4+\delta}$/SrTiO$_3$
single crystal films near the antiferromagnetic (AF) - superconducting (SC)
phase transition and with varying degree of disorder ($\delta$) were studied.
The decrease of $\beta$ from 1.2$\pm$0.2 at $x$ = 0.14 to 0.6$\pm$0.1 at $x$ =
0.15 points out on the evidence of the change from the anisotropic $s$ - wave
to the $d$ - wave pairing symmetry in the external magnetic field at the
transition from underdoped to optimally doped region. Peculiarities of the
power law dependence of the vortex motion in the mixed state can be connected
with some features of the nonstoichiometric disorder in layered electron-doped
superconductors.
