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On the comparison of PBIB designs with two associate classes

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Abstract

A method to compare two-associate-class PBIB designs is discussed. As an application, it is shown that ifd * is a group-divisible design withλ 2=λ1+1, a group divisible design with group size two andλ 2=λ1+1>1, a design based on a triangular scheme andv=10 andλ 1=λ2+1, a design with anL 2 scheme andλ 2=λ1+1, a design with anL s scheme,v=(s+1) 2, andλ 2=λ1+1, wheres is a positive integer, or a design with a cyclic schemev=5, andλ 1=λ2±1, thend * is optimum with respect to a very general class of criteria over all the two-associate-class PBIB designs with the same values ofv, b andk asd *. The best two-associate-class PBIB design, however, is not necessarily optimal over all designs.

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Authors and Affiliations

  1. University of California, Berkeley

    Ching-Shui Cheng

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  1. Ching-Shui Cheng
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Additional information

This paper was prepared with the support of Office of Naval Research Contract No. N00014-75-C-0444/NR 042-036 and National Science Foundation Grant No. MCS-79-09502.

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Cheng, CS. On the comparison of PBIB designs with two associate classes. Ann Inst Stat Math 33, 155–164 (1981). https://doi.org/10.1007/BF02480929

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  • DOI: https://doi.org/10.1007/BF02480929

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