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Association, Symmetry and Diagonal Models for Occupational Mobility and Other Similar Square Contingency Tables Having Ordered Categorical Variables
Author(s) -
Lawal H. Bayo
Publication year - 1993
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710350211
Subject(s) - contingency table , categorical variable , diagonal , square (algebra) , symmetry (geometry) , mathematics , econometrics , class (philosophy) , statistics , association (psychology) , selection (genetic algorithm) , model selection , mathematical economics , computer science , psychology , artificial intelligence , geometry , psychotherapist
Abstract This paper examines various association, symmetry and “diagonal band” class models for both the British and Danish social mobility data. Composite models are also fitted to these data and the variety of models considered ensures that for most square tables, parsimonious models within the class of models examined in this study can always be found that will adequately describe such tables. The models considered in this study, which have been described in various forms by Goodman (1984), Upton (1985) and Tomizawa (1986) can suit most square tables having ordered classificatory variables. A model selection procedure is also examined.