On bounds for the efficiency of block designs for comparing test treatments with a control (Q1101167)

We study the class of augmented balanced incomplete block desings, which are used for comparing a control treatment with a set of test treatments. Under the A-criterion we establish a condition that enables us to determine the most efficient augmented design and we suggest some methods to compute a lower bound for the efficiency of these designs. For \(3\leq k\leq 10\), \(v\geq k\), we list the parameters of the most efficient designs with a lower bound for their efficiency or, if known, mention their optimality.