TY - JOUR
AU - Iki, Kiyotaka
AU - Tahata, Kouji
AU - Tomizawa, Sadao
PY - 2016/04/03
Y2 - 2021/05/11
TI - Ridit Score Type Quasi-Symmetry and Decomposition of Symmetry for Square Contingency Tables with Ordered Categories
JF - Austrian Journal of Statistics
JA - AJS
VL - 38
IS - 3
SE - Articles
DO - 10.17713/ajs.v38i3.271
UR - https://ajs.or.at/index.php/ajs/article/view/vol38%2C%20n3%20-%204
SP - 183–192
AB - 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 < 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.
ER -