Finding the Design Matrix for the Marginal Homogeneity Model
本文针对T次观测、K个响应水平的分类数据，通过线性变换参数空间，给出了边际同质性模型的设计矩阵构造方法，适用于任意T和K。
Suppose that a homogeneous group of n subjects is observed on T occasions. Each subject has one of K levels of response at each of the T occasions. The cross-classification of the recorded responses over time forms a KT contingency table. This paper discusses the design matrix for the marginal homogeneity model, which assumes that the first-order marginal probabilities at each time are equal. The marginal homogeneity model is a linear model for the vector of cell probabilities. We obtain the design matrix by linearly transforming the parameter space of the cell probabilities; our method will work for any T and any K.