  This study analyzes thermoelectric properties of a one-dimensional random
conductor which shows localization effects and simultaneously includes resonant
scatterers yielding sharp conductance resonances. These sharp features give
rise to a distinct behavior of the Seebeck coefficient in finite systems and
incorporate the degree of localization as a means to enhance thermoelectric
performance, in principle. The model for non-interacting electrons is discussed
within the Landauer-B\"uttiker formalism such that analytical treatment is
possible for a wide range of properties, if a special averaging scheme is
applied. The approximations in the averaging procedure are tested with
numerical evaluations showing good qualitative agreement, with some limited
quantitative disagreement. The validity of low-temperature Mott's formula is
determined and a good approximation is developed for the intermediate
temperature range. In both regimes the intricate interplay between Anderson
localization due to disorder and conductance resonances of the disorder
potential is analyzed.
