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Constructions of Three Associate Constant Block-sum PBIB Designs

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Title Constructions of Three Associate Constant Block-sum PBIB Designs
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Creator Kaushal Kumar Yadav
Sukanta Dash
Baidya Nath Mandal
 
Subject Constant block-sum PBIB designs
Petersen graph
Pappus graph
Hexagon graph
Association scheme
 
Description Not Available
Partially Balanced Incomplete Block (PBIB) designs find extensive use in various fields, including
agriculture, animal studies, and biomedical research. In biomedical research, especially with animals,
there is often a need to account for carryover effects from previous experiments. This necessitates
the development of designs that ensure uniform cumulative exposure to treatment levels. Constant
block-sum designs have been introduced in the literature to address this requirement. In such
designs, treatment levels are treated as quantitative, and the goal is to ensure that, by the end of
the experiments, all experimental units have received the same constant cumulative dose. In this
article, we delve into three distinct three-associate class association schemes, utilizing the Petersen
Graph, Pappus Graph, and Hexagon Graph. We provide detailed insights into the construction
methods for constant block-sum PBIB(3) designs, along with illustrative examples to facilitate
understanding and practical application.
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Date 2024-03-27T16:01:36Z
2024-03-27T16:01:36Z
2024-01-15
 
Type Research Paper
 
Identifier Yadav,K., Dash, S., Mandal,B.N. (2024). Constructions of Three Associate Constant Block-sum PBIB Designs. Journal of Community Mobilization and Sustainable Development 19(1),143-148
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http://krishi.icar.gov.in/jspui/handle/123456789/81693
 
Language English
 
Relation Not Available;