We present a short review based on the nonlinear q-voter model about
problems and methods raised within statistical physics of opinion formation
(SPOOF). We describe relations between models of opinion formation, developed
by physicists, and theoretical models of social response, known in social
psychology. We draw attention to issues that are interesting for social
psychologists and physicists. We show examples of studies directly inspired by
social psychology like: "independence vs. anticonformity" or "personality vs.
situation". We summarize the results that have been already obtained and point
out what else can be done, also with respect to other models in SPOOF. Finally,
we demonstrate several analytical methods useful in SPOOF, such as the concept
of effective force and potential, Landau's approach to phase transitions, or
mean-field and pair approximations.Comment: 29 pages, 4 figures, new section 6 slightly extended, figures of
higher quality, corrected typos, extended references, other minor
improvements throughout the tex
