Generalized partially balanced incomplete block designs
โ Scribed by Kishore Sinha
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 178 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
The concept of generalized partially balanced incomplete block (PBIB) design is introduced. Generalized PBIB designs are shown to be useful for the construction of equireplicate balanced block designs, pairwise balanced designs and BIB designs.
๐ SIMILAR VOLUMES
## Abstract The necessary conditions for the existence of a balanced incomplete block design on ฯ โโฅโ__k__ points, with index ฮป and block size __k__, are that: For __k__โ=โ8, these conditions are known to be sufficient when ฮปโ=โ1, with 38 possible exceptions, the largest of which is ฯ โ=โ3,753. For
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.