We study statistical properties of the eigenfunctions in the three-dimensional Anderson model of localization. In the metallic regime, these are described by random matrix theory. As disorder is increased, incipient localization causes deviations from random matrix behaviour. We have calculated wave functions in this regime and analyze the deviations from the predictions of random matrix theory. Keywords: Wave function statistics; Localization; Disordered systems It has been known for a long time that spectral fluctuations in disordered quantum systems in the metallic regime are described by random matrix theory [1]. Similarly, fluctuations of wave-function amplitudes are distributed according to the PorterThomas distribution [2,3]. As the disorder is increased, the wave functions begin to show tendencies towards localized behaviour, causing deviations from the predictions of random matrix theory. This incipient localization was recently analyzed from an analytical point of view in Ref...