Accession Number:

ADA093165

Title:

On 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):

Report Date:

1980-10-01

Pagination or Media Count:

37.0

Abstract:

A balanced incomplete block BIB design with b blocks is said to have support size b when exactly b of the b blocks are distinct. The importance and the applications of BIB designs with b b in design of experiments and controlled sampling were explained in detail in Foody and Hedayat 1977 and Wynn 1977. A method of constructing BIB designs with various support sizes form known designs is introduced. This method, together with another method called, trade-off which as introduced by Heydayat and Li 1979 are utilized to construct BIB designs with v 8, k 4 in particular. A table of BIB designs with 14 or b or 70, b not equal 15, 16, 17, 19 with v 8 and k 4 is included. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE