𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Mutually balanced nested designs

✍ Scribed by R. Fuji-Hara; S. Kuriki


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
658 KB
Volume
97
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.

✦ Synopsis


Fuji-Hara R. and S. Kuriki, Mutually balanced nested designs, Discrete Mathematics 97 (1991) 167-176.

A mutually balanced nested design of strength t is introduced. It is shown that such a nested design is equivalent to a balanced array of strength t. Some recursive constructions are given for a mutually balanced nested design of strength 2. Some constructions are also given for a balanced incomplete array of strength 2 which are based on a mutually balanced nested design.


πŸ“œ SIMILAR VOLUMES


Balanced arrays of strength two and nest
✍ Shinji Kuriki; Ryoh Fuji-Hara πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 375 KB

## Abstract An (__r__,Ξ»)‐design with mutually balanced nested subdesigns (for brevity, (__r__,Ξ»)‐design with MBN) is introduced firstly in this article. It is shown that an __r__,λ‐design with MBN is equivalent to a balanced array of strength 2 with __s__ symbols. By the use of a nested design and

Geometric construction of balanced block
✍ Rahul Mukerjee; Sudhir Gupta πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 235 KB

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.

Construction of Partially Balanced Incom
✍ H. L. Agrawal; J. Frasad πŸ“‚ Article πŸ“… 1984 πŸ› John Wiley and Sons 🌐 English βš– 363 KB πŸ‘ 2 views

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.