Accession Number:

ADA061925

Title:

The Trade Off Method in the Construction of BIB Designs with Variable Support Sizes.

Descriptive Note:

Interim rept.,

Corporate Author:

ILLINOIS UNIV AT CHICAGO CIRCLE DEPT OF MATHEMATICS

Personal Author(s):

• Hedayat,A.
• Li,Shuo-Yen Robert

Report Date:

1978-02-01

Pagination or Media Count:

28.0

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.

Descriptors:

• *EXPERIMENTAL DESIGN
• *COMBINATORIAL ANALYSIS
• TRADE OFF ANALYSIS
• CONVEX SETS

Subject Categories:

• Statistics and Probability
• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE