Definitions.-An arrangement of v objects (called treatments) in b sets) @% I1 \% M) [! f/ T' N
(called blocks) will be called a pairwise balanced design of index unity and type* T) G1 ?5 H$ T! A% u
(v; ki, k2, .. ., ki) if each block contains either k1, k2, .. ., or km treatments which8 Q. E! k" Z, z0 _* j
are all distinct (k, < v, k, $ kj), and every pair of distinct treatments occurs exactly / U) h, p' [* S; z! A5 p/ Iin one block of the design. If the number of blocks containing k, treatments is 4 ~, X( m1 x) e% ]8 @9 b2 `b,, then clearly b = A bi, v(v-1) = i biki(k -1)。。。( V5 U: M4 a( l/ L