In the density matrix formalism, the ensemble of atoms or ions is expr
essed in terms of population and alignment of excited levels and the g
round state. The population of an excited level determines the intensi
ty of an emission line originating from this level and the alignment g
ives rise to the linear polarization of this line. Spatially anisotrop
ic collisions induce transitions between the populations and the align
ments; for example, an alignment along with a population is produced b
y a beam of electrons in an excited level from the ground-state popula
tion. Thus, an anisotropic plasma produces polarized radiations, and b
y plasma polarization spectroscopy (PPS) we can investigate the anisot
ropic, and thus non-thermal, features of the plasma. The angular distr
ibution of the perturber velocities is expanded in terms of Legendre p
olynomials. The expansion coefficients and the relevant cross sections
for the transitions among the populations and the alignments yield th
e rate coefficients for these transitions. For the ensemble of atoms o
r ions immersed in the plasma, coupled rate equations are constructed
for the populations and the alignments of excited levels. We review th
e present status of our knowledge of the collision cross sections for
various collision processes. Several experimental observations of PPS
performed so far are reviewed, which include those on a tokamak plasma
, laser produced plasmas, various discharge plasmas and solar Bares. W
e discuss what kind of information could be obtained from PPS.