Group divisible designs with block size five from Clatworthy's table

Dinesh Sarvate, Nutan Mishra and Kasifa Namyalo

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 9, 2085-2097

Abstract: Clatworthy's table (Clatworthy, 1973) lists 37 designs with block size 5 where the number of groups is at the most equal to the block size. Mwesigwa, Sarvate, and Zhang have generalized one of these designs in a recent paper (Mwesigwa et al., 2016). In this note we generalize all but one such design listed in the table. As an aside, we prove that group divisible design (n,4,5;9nn-1,2)$(n,4,5;\frac{9n}{n-1},2)$ with intersection pattern (1, 4) does not exist for any n except for n = 4.

Date: 2018
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DOI: 10.1080/03610926.2016.1179763

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