ABSTRACT
Mosaic displays help to visualize the pattern of associations among variables in two-way and larger tables. Extensions of this technique can reveal partial associations, marginal associations, and shed light on the structure of loglinear models themselves. To interpret the association between hair color and eye color, consider the pattern of positive and negative tiles in the mosaic display. The mosaic displays and other graphical methods within the strucplot framework extend quite naturally to three-way and higher-way tables. The pattern of residuals in the mosaic will suggest associations to be added to an adequate explanatory model. Mosaic-like displays use the idea of recursive partitioning of a unit square to portray the frequencies in an n-way table by the area of rectangular tiles with coordinates. Mosaic and other displays in the strucplot framework for partial association can be produced in several different ways.
