On directed designs with block size five
โ Scribed by Andrew Bowler; Mike Grannell; Terry S. Griggs; Kathleen A. S. Quinn
- Book ID
- 105124701
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 622 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0047-2468
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The block designs considered here are nested in the unified sense of Preece (Biometrika 54 (1967) 479 486) and Federer (in: Statistical Papers in Honour of George W. Snedecor, 1972), i.e. each block of the larger design contains several distinguished families of mutually disjoint subblocks, the subb
In this article, we construct directed group divisible designs (DGDDs) with block size five, group-type h n , and index unity. The necessary conditions for the existence of such a DGDD are n โฅ 5, (n -1)h โก 0 (mod 2) and n(n -1)h 2 โก 0 (mod 10). It is shown that these necessary conditions are also su
We consider sets of incomplete transversal designs with block size five TD [S; u] -TD [S; n]. We show that designs exist if and only if u 2 4n, with the possible exception of 108 values of (v, n) for which existence is undecided.
We shall refer to a strong partially balanced design