  There has been much discussion in the literature about rival measures of
classical polarization in three dimensions. We gather and compare the various
proposed measures of polarization, creating a geometric representation of the
polarization state space in the process. We use majorization, previously used
in quantum information, as a criterion to establish a partial ordering on the
polarization state space. Using this criterion and other considerations, the
most useful polarization measure in three dimensions is found to be one
dependent on the Bloch vector decomposition of the polarization matrix.
