Definitions.-An arrangement of v objects (called treatments) in b sets 6 E0 d5 d1 F: F: S(called blocks) will be called a pairwise balanced design of index unity and type ) k1 t6 h N5 o s% d(v; ki, k2, .. ., ki) if each block contains either k1, k2, .. ., or km treatments which, }1 T+ }0 O3 R. M+ z2 f- R
are all distinct (k, < v, k, $ kj), and every pair of distinct treatments occurs exactly, b% ^( @# Q% w4 h
in one block of the design. If the number of blocks containing k, treatments is + R4 F) \+ E8 ib,, then clearly b = A bi, v(v-1) = i biki(k -1)。。。5 ~/ H8 Z' l8 L; O( V; Q