Designing batteries of short-term tests with largest inter-tier correlation.
Designs for optimal sets of short-term assays for detecting carcinogens have assumed independence between assays. This assumption can be relaxed if an "optimal" set of predictive assays is defined as one having outcomes with the highest absolute correlation with outcomes from the definitive test(s). A method of calculating this correlation is developed as a correlated Bernoulli model. We show that even when outcomes from predictive assays are interdependent, the set of outcomes from predictive assays can be significantly correlated with the set of outcomes from definitive tests. The magnitude of the correlation depends, in part, on the number of assays in the predictive tier and the decision criterion.