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http://krishi.icar.gov.in/jspui/handle/123456789/80950| Title: | Resolvable and 2-Replicate PBIB Designs based on Higher Association Schemes Using Polyhedra |
| Other Titles: | Not Available |
| Authors: | Vinayaka Rajender Parsad |
| ICAR Data Use Licennce: | http://krishi.icar.gov.in/PDF/ICAR_Data_Use_Licence.pdf |
| Author's Affiliated institute: | ICAR::Indian Agricultural Statistics Research Institute |
| Published/ Complete Date: | 2023-11-28 |
| Project Code: | Not Available |
| Keywords: | Icosahedral association scheme Octahedral association scheme Pentagonal prism association scheme Resolvable partially balanced incomplete block design |
| Publisher: | Statistics and Applications, Society of Statistics and Computer Applications |
| Citation: | 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 |
| Series/Report no.: | Not Available; |
| Abstract/Description: | 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) <= 20 is given along with computed efficiencies. |
| Description: | Not Available |
| ISSN: | Not Available |
| Type(s) of content: | Research Paper |
| Sponsors: | Not Available |
| Language: | English |
| Name of Journal: | Statistics and Applications |
| Journal Type: | NAAS Included |
| NAAS Rating: | Not Available |
| Impact Factor: | Not Available |
| Volume No.: | 21(2) |
| Page Number: | 141-154 |
| Name of the Division/Regional Station: | Not Available |
| Source, DOI or any other URL: | https://ssca.org.in/media/9_SA42052022_R4_SA_28112022_Vinayaka_FINAL_Finally.pdf |
| URI: | http://krishi.icar.gov.in/jspui/handle/123456789/80950 |
| Appears in Collections: | AEdu-IASRI-Publication |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Vinayaka and RP SA 2023.pdf | 534.82 kB | Adobe PDF | View/Open |
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