International Journal of Mathematics and Mathematical Sciences

International Journal of Mathematics and Mathematical Sciences / 1980 / Article

Open Access

Volume 3 |Article ID 604628 | https://doi.org/10.1155/S0161171280000105

M. L. Chandak, "On the block structure of PBIB designs", International Journal of Mathematics and Mathematical Sciences, vol. 3, Article ID 604628, 7 pages, 1980. https://doi.org/10.1155/S0161171280000105

On the block structure of PBIB designs

Received11 Aug 1978
Revised02 Feb 1979

Abstract

Let {θ,θ1,,θn1} denote the set having any treatment θ and its n1 first associates in a PBIB design with m(2) associate classes. A theorem on distribution of the elements of this set among the blocks of the block design is proved and results related to certain well known association schemes of three associate classes are obtained.

Copyright © 1980 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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