Optimal design : Experiments for discriminating between several models

In this paper we consider experimental designs for discriminating between three or more rival regression models. In an earlier paper (Atkinson & Fedorov, 1975) we described optimal designs for discriminating between two models. Although the approach and nomenclature of the present paper are similar to those of the earlier one, the results are not, except in some simple cases, a straightforward generalization of those when there are only two models. We now suppose that there are v rival regression models