The construction of resolvable incomplete block and row-column designs is investigated when the treatments have a nested structure. Some theoretical results are derived for lattice designs. Efficient designs for unequal-sized treatment groups are obtained by defining a multiple objective function an
A construction of resolvable nested 3-designs
β Scribed by Shivani Rai; Shakti Banerjee; Sanpei Kageyama
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 83 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1063-8539
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β¦ Synopsis
Abstract
A method of constructing resolvable nested 3βdesigns from an affine resolvable 3βdesign is proposed with one example. Β© 2004 Wiley Periodicals, Inc.
π SIMILAR VOLUMES
An affine Ξ±-resolvable PBD of index Ξ» is a triple (V, B, R), where V is a set (of points), B is a collection of subsets of V (blocks), and R is a partition of B (resolution), satisfying the following conditions: (i) any two points occur together in Ξ» blocks, (ii) any point occurs in Ξ± blocks of each
A number of methods of construction of partially balanced inconiplete block designs with nested rows and columns are developed and new balanced incomp1et.e block designs with nested rows and columns are obtained as a by-product.
## Abstract A backtracking over parallel classes with a partial isomorph rejection (PIR) is carried out to enumerate the resolvable 2β(10,5,16) designs. Computational results show that the inclusion of PIR reduce substantially the CPU time for the enumeration of all designs. We prove first some res
We consider direct constructions due to R. J. R. Abel and