Sum-symmetry model and its orthogonal decomposition for square contingency tables with ordered categories
Kouji Yamamoto, Yayoi Tanaka, Sadao Tomizawa · SUT Journal of Mathematics · 2013
For the analysis of square contingency tables, many kinds of symmetry models have proposed. The present paper proposes a new kind of symmetry model, and gives a decomposition of the new model by introducing an extended model of it. Moreover, it shows the orthogonality of statistic for testing goodness-of-fit of the new model. Two unaided vision data analyses are also shown.