Physical Sciences and Mathematics Commons^™

A Note On The Parameters Of Pbib Association Schemes, Dale M. Mesner

Department of Mathematics: Faculty Publications

In an m-class partially balanced incomplete block (PBIB) design [3], any two distinct treatments are related as first, second, . . . ,or mth associates in accordance with certain rules, and the resulting classification of pairs of treatments is called an association scheme [1], [4]. Parameters, including v, n_i, pⁱ_jk, which depend only on the association relation between treatments and are common to all designs having a given association scheme, are called association scheme parameters. Other parameters, including b, r, k, λ_i, depend, in addition, on the arrangement of the treatments …