In this paper we consider experimental situations in which m 2-level factors are to be studied using a 2-level main effects plan where n runs are to be partitioned into b blocks of different sizes. For these experimental situations, methods of constructing type I optimal designs are given.

In this paper we consider experimental situations where a 2-level main effects plan is to be used to study m-factors using n runs which are partitioned into b blocks of size k=n/b and where k is an odd integer. For odd k≥3 and certain cases where b is a multiple of k, we show how to construct...