A Note on the Graphical Analysis of Multidimensional Contingency Tables

The technique of half-normal plotting in the analysis of factorial experiments is adapted to multidimensional contingency tables. A logistic transformation is applied to the cell proportions before calculating and plotting the standard contrasts. An approximate theoretical slope is available for the half-normal plot. One use of the method is in the preliminary analysis of complex quanta1 data, in particular to help in choosing a model for more formal analysis. An illustrative example is discussed.