In this work, the class of graphical log-linear models for homologous factors introduced by Gottard (2009) is analyzed. This class of models, called SQS models, allows for different kinds of symmetry constraint on main effects and interactions parameters of a graphical log-linear model. The conditional independence structure of a SQS model is represented by a coloured graph in which constraints on main effects are associated with coloured nodes and constraints on interaction parameters are associated with coloured edges. Quasi-symmetry and complete symmetry models are special cases of SQS models. The aim of this work is to analyze which kind of SQS models are compatible with contingency tables in which some conditional margins are symmetric. The three dimensional case is considered.
Stumbling across symmetries / A.Gottard. - ELETTRONICO. - 45th Scientific Meeting of the Italian Statistical Society. Proceedings.:(2010), pp. 1-8. (Intervento presentato al convegno SIS tenutosi a Padova nel 16-18 Giugno 2010).
Stumbling across symmetries
GOTTARD, ANNA
2010
Abstract
In this work, the class of graphical log-linear models for homologous factors introduced by Gottard (2009) is analyzed. This class of models, called SQS models, allows for different kinds of symmetry constraint on main effects and interactions parameters of a graphical log-linear model. The conditional independence structure of a SQS model is represented by a coloured graph in which constraints on main effects are associated with coloured nodes and constraints on interaction parameters are associated with coloured edges. Quasi-symmetry and complete symmetry models are special cases of SQS models. The aim of this work is to analyze which kind of SQS models are compatible with contingency tables in which some conditional margins are symmetric. The three dimensional case is considered.File | Dimensione | Formato | |
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