A-optimal block designs for comparing test treatments with a control. (English) Zbl 0629.62077

Stufken, John

Ann. Stat. 15, 1629-1638 (1987).

We consider the problem of comparing test treatments with a control in a proper block design. We give conditions on the parameters of both R-type and S-type designs that guarantee their A-optimality, and demonstrate how these conditions can be used to obtain families of A-optimal designs. We give an example for the construction of the desired S-type designs. A table with optimal R-type designs (3\(\leq k\leq 10\), \(k\leq v\leq 30)\) is also given.

MSC:

62K05	Optimal statistical designs
62K10	Statistical block designs

Keywords:

rectangular-type designs; step-type designs; comparing test treatments with a control; A-optimality; S-type designs; table; optimal R-type designs