On the Construction of BIB Designs with Variable Support Sizes.
ILLINOIS UNIV AT CHICAGO CIRCLE DEPT OF MATHEMATICS
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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
- Theoretical Mathematics