Univariate Random Cut-Points Theory for the Analysis of Ordered Categorical Data
有序分类数据分析的单变量随机切点理论
A new theory is developed for nonparametric analyses of r x k contingency tables, where the columns correspond to k ordered categories. The work is motivated by concern that conventional nonparametric theory yields inferences concerning the given categories, but results are often interpreted as if for a continuum. Asymptotic distributions are derived under random cut-points models for the Mann-Whitney (-Wilcoxon) U statistic. A model is recommended under which the exact…