分层关联表中伞形序对无约束问题的检验  

A Test for an Umbrella Order Against Unrestricted Alternative in Stratified Contingency Tables

作　　者：冯艳钦[1] 邱小霞[2] 马成刚[1] 

机构地区：[1]武汉大学数学与统计学院,武汉430072 [2]华中科技大学数学与统计学院,武汉430074

出　　处：《数学物理学报（A辑）》2009年第5期1283-1290,共8页Acta Mathematica Scientia

基　　金：国家自然科学基金(10771163)资助

摘　　要：概率分布间的随机序是应用概率论与统计推断中的一个重要概念.基于交叉分类数据的趋势检验问题已被广泛地研究,并且分层关联表广泛存在于实践中.似然比检验方法常用于涉及随机序约束问题的检验.对带序约束的分层关联表,该文介绍了一种不基于模型假定的似然比检验方法,并且给出了检验统计量的极限分布.Stochastic order between probability distributions is an important concept in applied probability and statistical inference,and it is often used in many situations.Trend test based on cross-classified data was widely studied,and stratified contingency tables are common in practice.Likelihood ratio test is often used to test involving stochastic order.For stratified contingency tables with ordered categories,this paper introduces a model-free test method by using likelihood ratio test statistic and gives the asymptotic distribution of this statistic.

关 键 词：随机序 Χ^2分布 似然比检验 关联表 

分 类 号：O212.1[理学—概率论与数理统计]