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Generalised quasi‐symmetry models for ordinal contingency tables
Author(s) -
Kateri Maria,
Gottard Anna,
Tarantola Claudia
Publication year - 2017
Publication title -
australian and new zealand journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 1369-1473
DOI - 10.1111/anzs.12194
Subject(s) - contingency table , mathematics , odds , ordinal regression , ordinal data , continuation , symmetry (geometry) , categorical variable , statistics , econometrics , contingency , odds ratio , logistic regression , computer science , geometry , linguistics , philosophy , programming language
Summary This paper extends the ordinary quasi‐symmetry ( QS ) model for square contingency tables with commensurable classification variables. The proposed generalised QS model is defined in terms of odds ratios that apply to ordinal variables. In particular, we present QS models based on global, cumulative and continuation odds ratios and discuss their properties. Finally, the conditional generalised QS model is introduced for local and global odds ratios. These models are illustrated through the analysis of two data sets.