This work reports the influence of the granularity on the transverse resistance as a function of temperature, R XY (T), in Bi 2 Sr 2 Ca 1-x Pr x Cu 2 O 8+δ and YBa 2 Cu 3 O 7-δ polycrystalline samples, and Li 0.9 Mo 6 O 17 single crystals. The effects of warming rate, temperature, applied magnetic field, and electrical current on the Hall resistance are reported. At zero magnetic field two peaks are observed in R XY (T) curves for the three compounds. The peaks are related to the double superconducting transition in the longitudinal component R XX (T) curves. In the superconducting and normal states no transverse voltage has been detected at zero magnetic field, as expected. The results are discussed within the framework of the motion of Abrikosov and Josephson vortices and anti-vortices. A new scaling relation between transverse and longitudinal voltages given by R XY ~ dR XX /dT has been confirmed. Regarding Li 0.9 Mo 6 O 17 single crystals, Hall resistance at zero applied magnetic field was also observed. Furthermore, the results confirm the quasi-unidimensionality but show smaller anisotropic ratio than previously reported. Simultaneously, the result reveals that the Li 0.9 Mo 6 O 17 is the first bulk superconducting compound exhibiting superconductor-insulator-transition (SIT) and metalinsulator-transition (MIT) behaviors.