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A new model for visualizing interactions in analysis of variance

Patrick Groenen () and Alex Koning

No EI 2004-06, Econometric Institute Research Papers from Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute

Abstract: In analysis of variance, there is usually little attention for interpreting the terms of the effects themselves, especially for interaction effects. One of the reasons is that the number of interaction-effect terms increases rapidly with the number of predictor variables and the number of categories. In this paper, we propose a new model, called the interaction decomposition model, that allows to visualize the interactions. We argue that with the help of the visualization, the interaction-effect terms are much easier to interpret. We apply our method to predict holiday spending1 using seven categorical predictor variables.

Date: 2004-03-10
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