Definitions.-An arrangement of v objects (called treatments) in b sets 3 U+ Y# K+ }) ~5 {7 f1 g(called blocks) will be called a pairwise balanced design of index unity and type; T* j# f' D* d5 F/ w) L
(v; ki, k2, .. ., ki) if each block contains either k1, k2, .. ., or km treatments which9 s4 B8 b& n. X1 p1 |" j8 s% {
are all distinct (k, < v, k, $ kj), and every pair of distinct treatments occurs exactly6 |$ [" D, d, o1 o
in one block of the design. If the number of blocks containing k, treatments is # ?( A# ]: f5 ]% Jb,, then clearly b = A bi, v(v-1) = i biki(k -1)。。。; H) H y5 R. C- \2 ]6 n- r: N