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Resolvable and 2-Replicate PBIB Designs based on Higher Association Schemes Using Polyhedra

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Title Resolvable and 2-Replicate PBIB Designs based on Higher Association Schemes Using Polyhedra
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Creator Vinayaka
Rajender Parsad
 
Subject Icosahedral association scheme
Octahedral association scheme
Pentagonal prism association scheme
Resolvable partially balanced incomplete block design
 
Description Not Available
In this article, three new association schemes and construction of partially balanced incomplete block (PBIB) designs based on these association schemes in three and four associate classes using polyhedra have been proposed. Construction methods use polyhedral such as icosahedron, octahedron and pentagonal prism. PBIB designs based on icosahedral and octahedral association schemes are resolvable block designs whereas designs based on pentagonal prism association scheme are 2-replicate PBIB designs. A simple analysis of these designs is outlined including generalized forms of canonical efficiency factors (CEFs) and average variances. A catalogue of PBIB designs for k (size of each block)
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Date 2023-11-30T07:11:12Z
2023-11-30T07:11:12Z
2023-11-28
 
Type Research Paper
 
Identifier Vinayaka and Rajender Parsad (2023). Resolvable and 2-Replicate PBIB Designs based on Higher Association Schemes Using Polyhedra. Statistics and Applications, 21(2), 141-154 https://ssca.org.in/media/9_SA42052022_R4_SA_28112022_Vinayaka_FINAL_Finally.pdf
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http://krishi.icar.gov.in/jspui/handle/123456789/80950
 
Language English
 
Relation Not Available;
 
Publisher Statistics and Applications, Society of Statistics and Computer Applications