Titlebook: Introduction to Graphical Modelling; David Edwards Textbook 19951st edition Springer-Verlag New York 1995 Conditioning.Graphical models.In

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Mixed Models,ers. Graphical models for mixed discrete and continuous variables were introduced by Lauritzen and Wermuth (1989), and both undirected and directed types of models were described. The undirected models (graphical interaction models) were extended to a broader class, the hierarchical interaction mode

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Model Selection and Criticism,tory process. Two different procedures are described in this chapter. The first is stepwise selection in which, starting from some initial model, edges are successively added or removed until some criterion is fulfilled. The second is a more global search technique proposed by Edwards and Havránek (

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Introduction,nd an explanation of how conditional independence structures can be represented graphically is given. A brief discussion of Simpson’s paradox is given to further motivate the graphical modelling approach. The final section gives an overview of the book.

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Continuous Models,In this chapter, we describe models based on the multivariate normal distribution that are analogous to the loglinear models of the previous section. The best introduction to these models is given by Whittaker (1990), who aptly calls them ., although they are perhaps more widely known as . models, following Dempster (1972).

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Hypothesis Testing,This chapter describes and compares various significance tests that can be used in the framework of hierarchical interaction models. The overall structure is as follows.

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