Exercise 9.6.4 State whether each design given below is a balanced incomplete block design, and if so, give the values of

b, t, k, r , and λ.

(a) The experiment involves 5 treatments: A, B, C, D, and E. The experiment is laid out as follows.

Block Treatments Block Treatments 1 A, B,C 6 A, B, D 2 A, B, E 7 A,C, D 3 A, D, E 8 A,C, E 4 B,C, D 9 B,C, E 5 C, D, E 10 B, D, E

(b) The following design has 9 treatments: A, B, C, D, E, F, G, H, and I .
Block Treatments Block Treatments 1 B,C, D, G 6 C, D, E, I 2 A,C, E, H 7 A, D, H, I 3 A, B, F, I 8 B, E, G, I 4 A, E, F, G 9 C, F, G, H 5 B, D, F, H

(c) The following design has 7 treatments: A, B, C, D, E, F, G.
Block Treatments Block Treatments 1 C, E, F, G 5 B,C, D, G 2 A, D, F, G 6 A,C, D, E 3 A, B, E, G 7 B, D, E, F 4 A, B,C, F