On construction of partially balanced n-ary designs
β Scribed by B.L Misra
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 264 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0012-365X
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β¦ Synopsis
A new method of constructing a series of partially balanced ternary (PBT) designs is presented. In the method, we have added the corresponding rows of incidence matrices of a BIB design and a PBIB design, both obtained from single initial block with at least one element in common between them. The BIB and PBIB designs above were obtained by method of differences. We have also constructed PBT designs and PB n-ary designs from a PBIB design alone based on NCm-scheme as well as from a group divisible PBIB design with smaller number of blocks and moderate block sizes.
π SIMILAR VOLUMES
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.