Charge carrier transport in a typical molecularly doped polymer has been studied by the time-of-flight and radiation induced conductivity methods. In the time range bracketing the conventional transit time a strong disagreement between two sets of data has been found. Unlike time-of-flight signal that rather closely reproduces all salient features reported in literature, the radiation induced conductivity transient lacks the plateau. In fact, it exhibits a strict power law decay t^−0.5 changing at long times to t⁻¹ or t^−1.5 patterns due to bimolecular recombination or true transit time effects, respectively. At short times, both transients are described by the same t^−0.5 dependence. These facts suggest the dispersive rather than the Gaussian charge transport.