Results 31 to 40 of about 729,697 (285)
On the block structure of PBIB designs
International Journal of Mathematics and Mathematical Sciences, 1980 Let {θ,θ1,…,θn1} denote the set having any treatment θ and its n1 first associates in a PBIB design with m(≥2) associate classes. A theorem on distribution of the elements of this set among the blocks of the block design is proved and results related to ...
M. L. Chandak
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Balanced incomplete block designs: selected business-related applications and usage caveats [PDF]
Innovative Marketing, 2016 Whenever respondents must rank-order a large number of items and/or the reliability of their rankings may be questionable, balanced incomplete block designs (BIBDs) represent a more effective means for doing so than either complete rankings or paired ...
David R. Rink
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Optimal Designs for Proportional Interference Models with Different Guarding Strategies
Mathematics, 2023 Interference models are commonly used in agriculture, industry, and other related fields. Optimal designs for these models are important topics in block designs.
Futao Zhang, Xiangshun Kong
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On the Classification of Splitting (v, u×c, λ) BIBDs
Cybernetics and Information Technologies, 2018 The (v, u×c, λ)-splitting balanced incomplete block designs correspond to c-splitting authentication codes. We classify splitting balanced incomplete block designs with definite parameters.
Zhelezova Stela
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Block-Transitive Designs in Affine Spaces
, 2009 This paper deals with block-transitive $t$-$(v,k,\lambda)$ designs in affine spaces for large $t$, with a focus on the important index $\lambda=1$ case.
A. Delandtsheer +25 more
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Recommendable block sizes: a case study on Finnish official variety trials of barley cultivars [PDF]
, 2008 Well-established results in the current statistical literature imply that plant breeders should use incomplete block designs wherever spatial variability exists and the number of treatments is large.
Jauhiainen, Lauri +2 more
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Cyclic Block Designs With Block Size 3
European Journal of Combinatorics, 1981 We prove that the necessary conditions for the existence of cyclic block designs with block size 3 are sufficient with two exceptions.
Marlene J. Colbourn, Charles J. Colbourn
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On block designs with repeated blocks
Discrete Mathematics, 1992 This paper is concerned with balanced incomplete block designs in which repeated blocks are allowed. If \({\mathcal D}\) is such a \((v,k,\lambda)\)- design (using the standard notation), let \(b^*\) denote the number of distinct blocks. Let \(BIBD(v,k,\lambda| b^*)\) denote the family of all such designs \({\mathcal D}\). Fixing the number of points \(
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Blocking Sets in Designs with Block Size 4
European Journal of Combinatorics, 1990 Constructions are given which produce block designs with \(\lambda=1\) or 2 and \(k=4\) admitting a blocking set. The construction includes all admissible orders \(n\) with \(\lambda=1,2\) and \(k=4\) except 8 cases. There are four separate constructions, one for \(\lambda=1\) and \(n\equiv1\) mod 12, one for \(\lambda=1\) and \(n\equiv 4\) mod 12, one
Dean G. Hoffman +2 more
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Statistical Theory and Related FieldsIn mixture experiments, the observed response is determined by the relative proportions of the components, consequently rendering the experimental region a simplex.
Jiawei Bao, Yu Tang
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