Pgm. Vanderheijden et A. Mooijaart, SOME NEW LOG-BILINEAR MODELS FOR THE ANALYSIS OF ASYMMETRY IN A SQUARE CONTINGENCY TABLE, Sociological methods & research, 24(1), 1995, pp. 7-29
The authors propose some new log-bilinear models for the analysis of a
symmetry in square contingency tables. In these models the logarithm o
f the expected frequency is split up into two parts: (a) a symmetric o
r a quasi-symmetric part and (b) a skew-symmetric part. The skew-symme
tric part is decomposed using the so-called Gower decomposition of ske
w-symmetric matrices. It is shown how graphical representations of thi
s decomposition can simplify the interpretation