@article{Iki_Tahata_Tomizawa_2016, title={Ridit Score Type Quasi-Symmetry and Decomposition of Symmetry for Square Contingency Tables with Ordered Categories}, volume={38}, url={https://ajs.or.at/index.php/ajs/article/view/vol38%2C%20n3%20-%204}, DOI={10.17713/ajs.v38i3.271}, abstractNote={For square contingency tables with the same row and column ordinal classifications, this paper proposes the quasi-symmetry model based on the marginal ridits. The model indicates that the log-odds that an observation will fall in the (i; j) cell instead of in the (j; i) cell, i &lt; j, is proportional to the difference between the average ridit score of row and column marginal distributions for category j and that for category i. This paper also gives a<br />theorem such that the symmetry model holds if and only if both the proposed model and the marginal mean equality model hold. Examples are given.}, number={3}, journal={Austrian Journal of Statistics}, author={Iki, Kiyotaka and Tahata, Kouji and Tomizawa, Sadao}, year={2016}, month={Apr.}, pages={183–192} }