Sometimes the number of treatments to be compared is so large that a complete blocks experiment is impractical. This happens, for example, in some agronomic variety trials. A balanced incomplete block (BIB) design can be used in such a situation. In sensory evaluation trials loss of sensitivity can occur when the subjects are not be able to compare more than a few products with any certainty. A...

Box and Behnken (1960) constructed 10 three-level, second-order designs, while their 1958 technical report contained seven additional designs. This series of designs is based on combining 2 or 2 designs in different subsets of the t factors, with k < t. The subsets of size k were determined using balanced (or partially balanced) incomplete block designs. This present article offers additional B...

Alspach, B. and D. Hare, Edge-pancyclic block-intersection graphs, Discrete Mathematics 97 (1991) 17-24. It is shown that the block-intersection graph of both a balanced incomplete block design with block size at least 3 and A = 1, and a transversal design is edge-pancyclic.

Symmetric Balanced Incomplete Block Designs with λ=1 is a common class of BIBDs which are mostly used in incomplete experimental block design set up because their simplicity and also analysis. Over the years since development by Yates year 1939. A number research has been done on to establish properties determine construction methods design. In terms properties, studies have only able necessary...

It is known that under certain conditions the incidence matrix of a balanced incomplete block design (v, b, r, k, λ) gives a binary code of length b and size 2(v + 1). Here we investigate the conditions where a balanced ternary design gives a similar ternary code.