Analysis of Contingency Tables by Correspondence Models Subject to Order Constraints
将近年受关注的推断性对应分析应用于有序分类的列联表，通过约束参数反映类别顺序，并利用潜在变量模型和EM算法进行高效估计，同时讨论了拟合优度检验。
Abstract Inferential correspondence analysis, which has gained much attention in recent years, is applied here to contingency tables with ordered categories. To reflect such order, the parameters of the underlying correspondence models are constrained to follow the order induced by the categories of the analyzed table. A reparameterization of the correspondence model in terms of a latent variable model is presented. This allows a simple and straightforward use of the EM algorithm to obtain efficient order-restricted estimates. A goodness-of-fit test is also discussed, and an example is analyzed. A small Monte Carlo example is presented.