Measures of association for two-way contingency tables: two case studies

A large number of measures of association for two-way contingency tables has been suggested over the years. More recently, research into the analysis of contingency tables has concentrated on log-linear models and on higher-order tables, and measures of association have largely been neglected. However, a measure of association remains a useful concept for two-way tables, and examples still arise where none of the published measures seems entirely appropriate. Two such examples, one from weather forecasting and one from mouse chronic toxicity trials are described and attempts are made to construct suitable measures of association.