期刊名称:Brazilian Journal of Probability and Statistics
印刷版ISSN:0103-0752
出版年度:2014
卷号:28
期号:3
页码:353-366
DOI:10.1214/12-BJPS211
语种:English
出版社:Brazilian Statistical Association
摘要:For the analysis of square contingency tables, we propose the Kullback–Leibler information type measure to represent the degree of departure from the quasi-symmetry (QS) model. We introduce the global quasi-symmetry (GQS) model, and show that the QS model holds if and only if both the GQS and extended quasi-symmetry (EQS) models hold. Furthermore, we propose a measure of departure from each of the GQS and the EQS models, and show that the value of measure of QS is equal to the sum of the value of measure of GQS and that of EQS.