Some sufficient conditions for the E- and MV-optimality of block designs having blocks of unequal size

Abstract

In this paper we consider experimental situations in which ν treatments are to be tested inb blocks whereb i blocks containk i experimental units,i=1,...,p, k 1<k 2<...<k p . The idea of a group divisible (GD) design is extended to that of a group divisible design with unequal block sizes (GDUB design) and then a number of results concerning the E- and MV-optimality of GD designs are generalized to the case of GDUB designs.