The anomalous Hall effect (AHE) of ferromagnetic thin films of Sr1−xCaxRuO3 (0 ≤ x ≤ 0.4) is studied as a function of x and temperature T . As x increases, both the transition temperature Tc and the magnetization M are reduced and vanish near x ∼ 0.7. For all compositions, the transverse resistivity ρH varies non-monotonously with T , and even changes sign, thus violating the conventional expression ρH = RoB + 4πRsM (T ) (B is the magnetic induction, while Ro and Rs are the ordinary and anomalous Hall coefficients). From the rather complicated data of ρH, we find a scaling behavior of the transverse conductivity σxy with M (T ), which is well reproduced by the first-principles band calculation assuming the intrinsic origin of the AHE.PACS numbers: 75.30.-m, 72.15.-v