1975 年 3 巻 1 号 p. 1-11
Models which may decompose the three variable interaction in r×s×t contingency tables are proposed, the models for the additive and multiplicative definition of no interaction being extended. One of those models makes possible an inferential approach to Iwatsubo's(1974)quantification technique, which is regarded as a statistically description-oriented method. The equivalence of our chi-square criterion to the maximization of the third order correlation coefficientρis shown. Several properties of the new models are derived, including the n.s. conditions that theρvanishes and the exact upper bound ofρ2. Many versions of the models and testing procedures for them are suggested.