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.
Geometric construction of balanced block designs with nested rows and columns
β Scribed by Rahul Mukerjee; Sudhir Gupta
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 235 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
A new series of balanced block designs with nested rows and columns is constructed using the finite Euclidian geometry. Some such designs along the line of Cheng (1986) are also considered.
A result on the system of distinct representatives is seen to be helpful in the derivation.
π SIMILAR VOLUMES
Block designs with nested rowsand columns have been introduced by SINGE and DEY (1979). This note gives some results regarding the total relative loss of information and patterns of efficiency balanced block designs with nested rows and columns in variable replications of treatments.
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