Analysis of data in square contingency tables with ordered categories using the conditional symmetry model and its decomposed models.

For the analysis of square contingency tables with ordered categories, three kinds of decompositions for the conditional symmetry model derived by Tomizawa are simply described. Using the conditional symmetry model and its decomposed models, this paper analyzes the data of unaided distance vision of women in Britain first analyzed by Stuart, the data of unaided distance vision of students in a university in Japan, and the data of unaided distance vision of pupils at elementary schools at a city in Tokyo.