列行比值之差的可压缩性  

Collapsibility of the difference of column ratio( the difference of line ratio)

作　　者：林存津 曹小双 李开灿[1] 

机构地区：[1]湖北师范学院数学与统计学院,湖北黄石435002

出　　处：《湖北师范学院学报（自然科学版）》2014年第4期59-62,共4页Journal of Hubei Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(11071022);湖北省教育厅重点项目(D20112503)

摘　　要：在高维列联表中,列(行)比值的差是度量变量关联性的一种有用的测度,利用严格的条件概率的性质,对高维列联表中关于随机变量间的关联测度列(行)比值的差的可压缩性进行讨论,分别给出了这两个关联测度强可压缩性的充分必要条件.The difference of column ratio and the difference of line ratio are useful measures for measure association of varia- bles in high dimensional contingency table. In this paper, we discuss the collapsibility of the difference of column ratio and the difference of line ratio by using the properties of conditional probability Strictly, and present the necessary and sufficient condi- tions for strong collapsibility of the association measures of random ~,ariables.

关 键 词：列比值的差 行比值的差 可压缩性 

分 类 号：O212.4[理学—概率论与数理统计]