Log-linear methods provide a powerful framework and the statistical ap
paratus for rigorously analyzing categorical data. These methods were
introduced and developed by Leo Goodman and others in the early 1970s.
in the late 1970s and the early 1980s, Goodman, Alan Agresti, Cliffor
d Clogg, Otis Dudley Duncan, and others showed how these models could
help us to estimate associations between discrete variables, including
ordered and unordered polytomies. The last decade has witnessed a set
of diverse extensions of these techniques. This paper reviews the bas
ic log-linear strategy and illustrates key concepts. Citations are giv
en to other articles on these topics, many of which are nontechnical a
nd contain substantive sociological applications.