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Block design

In combinatorial mathematics, a block design is an incidence structure consisting of a set together with a family of subsets known as blocks, chosen such that number of occurrences of each element satisfies certain conditions making the collection of blocks exhibit symmetry (balance). Block designs have applications in many areas, including experimental…

Applications, Symmetric 2-designs (SBIBDs) & Overview

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Overview

Regular uniform designs (configurations)

Pairwise balanced uniform designs (2-designs or BIBDs)

Symmetric 2-designs (SBIBDs)

Resolvable 2-designs

General balanced designs (t-designs)

Partially balanced designs (PBIBDs)

Applications

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Map overview Semantic statistics

Block design

Nodes71
Edges70
Triples152
Avg. degree1.97
Density0.028169
Components1

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Block design

Top relations

related to References · 104
Block design → America, American Statistical Association, An, An Algebraic Approach, Analysis, Annals, Anne Penfold, Applications, Aschbacher, Assmus, Balanced Incomplete Block Designs, Bhat-Nayak, Biplanes, Block Designs, Boca Raton, Bose, Cambridge, Cambridge University Press, Carus Mathematical Monographs, Chapman
related to External links · 15
Block design → Block Designs, Databases, Design Theory Resources, DesignTheory, Eric, London, Mathematical Sciences, MathWorld, Org, Peter Cameron's, Queen Mary College, School, Software, University, Weisstein
related to overview · 8
Block design → Any, Block, Designs, For, PBDs, PBIBD, The, When
related to Pairwise balanced uniform designs (2-designs or BIBDs) · 6
Block design → BIBD, Given, Here, In, This, To
related to Regular uniform designs (configurations) · 6
Block design → Also, Configuration, Every, Levi, Such, The
related to Symmetric 2-designs (SBIBDs) · 6
Block design → Fisher's, If, In, Ryser, Symmetric, The
has application · 5
Block design → ANOVA, The, These, This, While
is a · 1
Block design → incidence structure consisting of a set together with a family of subsets known as blocks

Important terminology Word statistics

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Important terminology

design block designs blocks points set symmetric also order number 2-design known balanced isbn called size plane lines parameters incidence

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Block designis aincidence structure consisting of a set together with a family of subsets known as blocks0.90text
partially balanced incomplete block designs this may however be possibleinstance ofFor other designs0.80text
Block designhas applicationThe0.60section
Block designhas applicationThese0.60section
Block designhas applicationANOVA0.60section
Block designhas applicationThis0.60section
Block designhas applicationWhile0.60section
Block designrelated to External linksDesignTheory0.60section
Block designrelated to External linksOrg0.60section
Block designrelated to External linksDatabases0.60section
Block designrelated to External linksSoftware0.60section
Block designrelated to External linksSchool0.60section

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