Effect Displays inRfor Generalised Linear Models

John Fox

doi:10.18637/jss.v008.i15

Abstract

This paper describes the implementation in R of a method for tabular or graphical display of terms in a complex generalised linear model. By complex, I mean a model that contains terms related by marginality or hierarchy, such as polynomial terms, or main effects and interactions. I call these tables or graphs effect displays. Effect displays are constructed by identifying high-order terms in a generalised linear model. Fitted values under the model are computed for each such term. The lower-order "relatives" of a high-order term (e.g., main effects marginal to an interaction) are absorbed into the term, allowing the predictors appearing in the high-order term to range over their values. The values of other predictors are fixed at typical values: for example, a covariate could be fixed at its mean or median, a factor at its proportional distribution in the data, or to equal proportions in its several levels. Variations of effect displays are also described, including representation of terms higher-order to any appearing in the model.

Keywords

HierarchyComputer scienceOrder (exchange)Term (time)Linear modelGraphical displayPolynomialTime complexityMathematicsTheoretical computer scienceAlgorithmComputer graphics (images)Machine learningMathematical analysis

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Publication Info

Year: 2003
Type: article
Volume: 8
Issue: 15
Citations: 1483
Access: Closed

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APA Style

                            
                                    John Fox
                                
                            (2003). 
                            Effect Displays in<i>R</i>for Generalised Linear Models. 
                            Journal of Statistical Software
                            , 8
                            (15)
                            .
                            https://doi.org/10.18637/jss.v008.i15

Identifiers

DOI: 10.18637/jss.v008.i15