Marginalization and Collapsibility in Graphical Interaction Models
The Annals of Statistics · 1990 · Volume 18 · Issue 2
Abstract
The behaviour of a graphical interaction model under marginalization is discussed. A graphical interaction model is called collapsible onto a set of variables if the class of marginal distributions is the same as that implied by the related subgraph. The necessary and sufficient condition for collapsibility is found and it is shown that collapsibility is equivalent to a range of other important statistical properties of the model.
Keywords
62H99, 62J99, Collapsibility, Contingency tables, covariance selection, cut, Decomposition, graphical models, marginalization, maximum likelihood estimate
Enable JavaScript for citation tools and additional paper interactions.