On the Analysis of Interaction in Multi-Dimensional Contingency Tables

This paper is mainly concerned to meet the needs of researchers who are faced with the practical problem of interpreting multi-way contingency tables and are unable to obtain guidance from standard text books. It presents a general review of the more important methods of analysis, together with a selection of procedures which are computationally the simplest available, and which may be adapted for use with different sampling schemes and/or with theoretical rather than estimated parameters. Since there is no limit to the number of hypotheses that might be proposed in respect of multi-way tables, there can clearly be no claim of completeness, but it is believed that there are no major omissions.