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A New Series of μ-Resolvable BIB Designs

open access: yesA New Series of μ-Resolvable BIB Designs
openaire  

Resistant and Susceptible BIB Designs

open access: yesAnnals of Statistics, 1974
Let $D$ be a BIB $(\nu, b, r, k, \lambda)$ design on $\Omega$. Let also $L \subset \Omega$ with cardinality of $L$ being $n \leqq \nu - 2$. We define $D$ to be locally resistant of degree $n$ if upon deletion of all the experimental units in $D$ assigned to the treatments in $L$ the remaining structure is variance balanced in the sense that under the ...
A Hedayat
exaly   +5 more sources

On Theory and Applications of BIB Designs with Repeated Blocks

open access: yesAnnals of Statistics, 1977
Consider BIB designs with parameters $v, b, r, k$ and $\lambda$. Define the support of a BIB design to be the set of its distinct blocks and let the cardinality of the support be $b^\ast$. If $b^\ast < b$ then the design is said to be a BIB design with repeated blocks.
A Hedayat
exaly   +3 more sources
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The spectrum of additive BIB designs

Journal of Combinatorial Designs, 2007
AbstractIn this article, the existence of additive BIB designs is discussed with direct and recursive constructions, together with investigation of a property of resolvability. Such designs can be used to construct infinite families of BIB designs.
M Sawa, K Matsubara, S Kageyama
exaly   +2 more sources

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