Results 11 to 20 of about 724,525 (268)
Pairwise transitive 2-designs [PDF]
, 2015 We classify the pairwise transitive 2-designs, that is, 2-designs such that a group of automorphisms is transitive on the following five sets of ordered pairs: point-pairs, incident point-block pairs, non-incident point-block pairs, intersecting block ...
Devillers, Alice, Praeger, Cheryl E.
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New Results Regarding the Construction Method for D‑optimal Chemical Balance Weighing Designs
Acta Universitatis Lodziensis. Folia Oeconomica, 2020 We study an experiment in which we determine unknown measurements of p objects in n weighing operations according to the model of the chemical balance weighing design. We determine a design which is D‑optimal. For the construction of the D‑optimal design,
Bronisław Ceranka, Małgorzata Graczyk
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Heliyon, 2021 Plant breeding experiments require the use of appropriate experimental designs that will efficiently block variation due to wide heterogeneity nature of tropical soils.
Richard Olutayo Akinwale +3 more
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3-Group Divisible Designs with 3 Groups and Block Size 5
Journal of Mathematics, 2023 A 3-GDD (n, 2, k, λ1, λ2) was defined by combining the definitions of a group divisible design and a t-design. In this paper, we extend the definitions to 3 groups and block size 5, and we denote such GDD by 3-GDD (n, 3, 5, μ1, μ2).
Zebene Girma Tefera +2 more
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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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Intersection numbers for subspace designs [PDF]
, 2014 Intersection numbers for subspace designs are introduced and $q$-analogs of the Mendelsohn and K\"ohler equations are given. As an application, we are able to determine the intersection structure of a putative $q$-analog of the Fano plane for any prime ...
Kiermaier, Michael +1 more
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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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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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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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Incidence Bounds for Block Designs
, 2016 We prove three theorems giving extremal bounds on the incidence structures determined by subsets of the points and blocks of a balanced incomplete block design (BIBD).
Lund, Ben, Saraf, Shubhangi
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