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https://doi.org/10.5772/intech...
Part of book or chapter of book . 2024 . Peer-reviewed
License: CC BY
Data sources: Crossref
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Constant Block-Size with Constant Sum-Block Partially Balanced Incomplete Block Designs

Authors: Babatunde L. Adeleke; Gabriel O. Adebayo; Kazeem A. Osuolale;

Constant Block-Size with Constant Sum-Block Partially Balanced Incomplete Block Designs

Abstract

This chapter delves into the introduction, methodology, and application of Constant Block-Size with Constant Sum-Block Partially Balanced Incomplete Block Designs (CBS-CSB PBIBDs) as an innovative class of experimental designs. The study defines key concepts, including constant block-size, constant block-sum, and constant sum-block, and outlines conditions for implementing CBS-CSB PBIBDs. The research presents experimental designs for various scenarios, such as t = 21, k = 3; t = 15, k = 3; t = 27, k = 3, and illustrates their respective cases through line charts. Notably, the study demonstrates that as the number of replicates (r) increases, the efficiency factors also increase, and when r = 1, efficiency (E) equals 0. In conclusion, CBS-CSB PBIBDs emerge as a valuable tool for experimental prioritization, offering a new perspective on partially balanced incomplete block designs. The research highlights the significance of CBS-CSB PBIBDs across diverse fields of experimentation. The findings equip readers with the ability to define, design, and analyze experiments using CBS-CSB PBIBDs, while acknowledging challenges and limitations associated with this approach. This study contributes to the broader understanding of experimental design and provides a foundation for future research directions in this innovative field.

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
hybrid