Tests for bivariate symmetry against ordered alternatives in square contingency tables
Tests for bivariate symmetry against ordered alternatives in square contingency tables
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DOI：
10.1111/1467-842x.00265
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发表时间：
2003-03-01
影响因子：
1.1
通讯作者：
Pardo, L
中科院分区：
文献类型：
--
作者：
Menéndez, ML;Pardo, JA;Pardo, L
设X和Y表示两个有序响应变量，每个变量具有I个水平。当受试者根据两个变量进行分类时，有I-2种可能的分类组合。设p（ij）= Pr（X = i，Y = j）.本文介绍了一类基于φ-发散测度的检验H-0：p（ij）= p（ji）对H-1：p（ij）大于或等于p（ji）（i大于或等于j）;以及检验H-1对H-2：p（ij）无限制。模拟研究评估了一些家庭的测试，本文介绍的似然比检验相比。
Let X and Y denote two ordinal response variables, each having I levels. When subjects are classified on both variables, there are I-2 possible combinations of classifications. Let p(ij) = Pr(X = i, Y = j). This paper introduces a family of tests based on phi-divergence measures for testing H-0: p(ij) = p(ji) against H-1: p(ij) greater than or equal to p(ji) (i greater than or equal to j); and for testing H-1 against H-2: p(ij) unrestricted. A simulation study assesses some of the family of tests introduced in this paper in comparison to the likelihood ratio test.