On group divisible treatment designs for comparing test treatments with a standard treatment in blocks of size 3

When comparing test treatments with a standard treatment in incomplete blocks, two classes of designs that are useful are the so called balanced treatment incomplete block designs and the group divisible treatment designs. The latter class of designs includes the former, but the design construction problem has, except for some scattered results, only received attention forthe balanced incomplete block designs. This paper provides, in some sense, a complete solution for the construction of group divisible treatment designs for k=3 and v{script}=4 or 6, two cases that are among those of most practical interest.