Abstract

The joint-plot graphical display is proposed as a data analytic tool for diagnosing the type of model to fit to three-factor data. It is a three-way generalization of the biplot display which is useful in graphically diagnosing models for two-way data. Joint-plots of the three-way array have been used to help understand the underlying structure of the data when all of the three ways or factors are of equal consideration from the view point of exploratory data analysis. In this paper, it is shown that joint-plots can help in understanding the interactions between factors in three factor experiments and in assessing the type of the model to fit. Illustrations from physical and biological science show how to use diagnostic rules in search for models to describe the given data.

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