The Trade Off Method in the Construction of BIB Designs with Variable Support Sizes.
Abstract
A balanced incomplete block (BIB) design with b blocks is said to have the support size b* when exactly b* of the b blocks are distinct. BIB designs with b* < b have interesting applications in design of experiments and controlled sampling. A method called trade off is introduced for the construction of BIB designs with repeated blocks. This method is utilized to study BIB designs with arbitrary v treatments is blocks of size k = 3 in general and with v = 7 and k = 3 in particular. It is shown that BIB designs with v = 7, k = 3, and b, and any b* exist if and only if b is divisible by 7; 7 < or = b* < or = min (b,35); b* not equal 8, 9, 10, 12, or 16; (b,b*) not equal (28,24), (28,27), (35,30), (35,32), (35,33), (35,34), or (42,34).
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1978
- Accession Number
- ADA061925
Entities
People
- A. S. Hedayat
- Shuo-yen Robert Li
Organizations
- University of Illinois at Chicago