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A new model for visualizing interactions in analysis of variance

By P.J.F. Groenen and A.J. Koning

Abstract

In analysis of variance, there is usually little attention for interpretingthe terms of the effects themselves, especially for interactioneffects. One of the reasons is that the number of interaction-effectterms increases rapidly with the number of predictor variables andthe number of categories. In this paper, we propose a new model,called the interaction decomposition model, that allows to visualizethe interactions. We argue that with the help of the visualization, theinteraction-effect terms are much easier to interpret. We apply ourmethod to predict holiday spending1 using seven categorical predictorvariables.

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