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Supports of BIB (Balanced Incomplete Block) Designs - An Algebraic and Graphical Study.
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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The structure and the size of the supports of balanced incomplete block BIB designs are explored. The concepts of fundamental BIB designs is introduced and its usefulness in can be reduced via a technique call trade on a design. A new graphical method of studying the supports of BIB designs with blocks of size three is introduced. Several useful results are obtained via this graphical method. In particular, it is shown that no BIB design with seven varieties in blocks of size three can be built based on sixteen distinct blocks. Contributions made here have immediate applications in controlled experimental designs and survey samplings.
APPROVED FOR PUBLIC RELEASE