For square contingency tables with ordered categories, we decompose the symmetry model into three models; i.e., the palindromic symmetry, the marginal means equality, and the cumulative subsymmetry models. The palindromic symmetry model is also decomposed into the generalized palindromic symmetry and the extended marginal homogeneity models. The decompositions are applied to the unaided vision data.
Tahata, Kouji; Yamamoto, Kouji; and Tomizawa, Sadao
"Decomposition of Symmetry Using Palindromic Symmetry Model in a Two-Way Classification,"
Journal of Statistics Applications & Probability: Vol. 1
, Article 7.
Available at: https://dc.naturalspublishing.com/jsap/vol1/iss3/7