Cross field electron diffusion induced by low frequency electromagnetic field fluctuations is investigated by the test particle approach based on the drift kinetic equation with the number conserving Krook collision term within the limit of quasilinear analysis in slab geometry. The diffusion coefficient is described in terms of a form factor which consists of three portions; the wave number and frequency spectra of density fluctuations, the effect of longitudinal wave-particle interaction, and the transverse dispersion function. The transverse dispersion gives the plasma skin depth as the characteristic scale length, which yields the Alcator-like scaling of the diffusion coefficient. The form factor shows a resonance-like behavior due to the magnetic part of fluctuations at the drift frequency, which indicates the importance of density fluctuations near the drift frequency in the electromagnetic plasma turbulence. This resonance is enhanced with increasing the plasma pressure, and finally the transition of the Alcator scaling is possible in the case of narrow band turbulence. The transitions of the Alcator scaling by the effect of collision is also derived in the single mode approximation.