A model is proposed having the structure of both symmetry and quasi-uniform association (SQU model) and provides a decomposition of the SQU model. It is also shown with examples that the test statistic for goodness-of-fit of the SQU model is asymptotically equivalent to the sum of those for the decomposed models.
Yamamoto, Kouji and Tomizawa, Sadao
"Symmetry Plus Quasi Uniform Association Model and Its Orthogonal Decomposition for Square Contingency Tables,"
Journal of Modern Applied Statistical Methods: Vol. 9
, Article 25.
Available at: http://digitalcommons.wayne.edu/jmasm/vol9/iss1/25