The relation between the anisotropic magnetoresistivity ratio Δρ/ρ₀ and ordinary Hall coefficient R₀ and extraordinary Hall coefficient R_s were studied for Ni-Fe binary alloy and (Ni_89.5Fe_10.5)M (M =Co, Cu, Nb, Gd, Al, Si and Bi) ternary alloy thin films, to obtain a guiding principle of searching the new materials that show a large value of Δρ/ρ₀. The value of Δρ/ρ₀ increases with increases in the absolute value of R₀ and also shows a maximum (Δρ/ρ₀≅4%) at R_s= 0. In the case of the ferromagnetic metals, the large value of Δρ/ρ₀ is obtainable under the following conditions, (1) sign of R₀ is negative and the absolute value of R₀ is large (carrier is electron like and effective carrier density n_eff is small) and (2) R_s is zero