In order to investigate the crossover from a homogeneous behavior to an inhomogeneous (percolative) one, the temperature T and magnetic field H dependence of the sheet resistance R ᮀ have been measured for two-dimensional granular aluminum films. Fitting the theory to data on magnetoconductance near T C with use of the diffusion constant D͑T͒ as a fitting parameter, we have obtained the anomalous T-dependent diffusion constant D. From D͑T͒, the electron diffusion index , a certain critical exponent in the percolation theory, has been obtained. In the relation R ᮀ − , the value of varies abruptly near 1.5 k⍀. This behavior suggests the abovementioned crossover is similar to our previous results determined from the T dependence of the upper critical magnetic field. For percolative films at H = 5 T, we have found the strong R ᮀ dependence of the prefactor ␣ T in the expression = ͓␣ T e 2 / ͑2 2 ប͔͒ln T + 0 . The relation ␣ T ϰ 1/R ᮀ can be explained qualitatively by a model of scaling law for percolation.