  The investigation of the electronic properties of semiconductors is
inherently challenging due to the ensemble averaging of fundamentals to
transport measurements (i.e., resistivity, Hall, and Seebeck coefficient
measurements). Here, we investigate the incorporation of a fourth measurement
of electronic transport, the Nernst coefficient, into the analysis, termed the
method of four-coefficients. This approach yields the Fermi level, effective
mass, scattering exponent, and relaxation time. We begin with a review of the
underlying mathematics and investigate the mapping between the four-dimensional
material property and transport coefficient spaces. We then investigate how the
traditional single parabolic band method yields a single, potentially incorrect
point on the solution sub-space. This uncertainty can be resolved through
Nernst coefficient measurements and we map the span of the ensuing sub-space.
We conclude with an investigation of how sensitive the analysis of transport
coefficients is to experimental error for different sample types.
