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Graphical Models for Associations between Variables, some of which are Qualitative and some Quantitative

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We define and investigate classes of statistical models for the analysis of associations between variables, some of which are qualitative and some quantitative. In the cases where only one kind of variables is present, the models are well-known models for either contingency tables or covariance structures. We characterize the subclass of decomposable models where the statistical theory is especially simple. All models can be represented by a graph with one vertex for each variable. The vertices are possibly connected with arrows or lines corresponding to directional or symmetric associations being present. Pairs of vertices that are not connected are conditionally independent given some of the remaining variables according to specific rules.
OriginalsprogEngelsk
TidsskriftAnnals of Statistics
Vol/bind17
Udgave nummer1
Sider (fra-til)31-57
Antal sider27
ISSN0090-5364
DOI
StatusUdgivet - 1989
Eksternt udgivetJa

ID: 127879916