Construction of Congruent Classes of Pairwise Balanced Design Using Lotto Design

Osuolale Peter Popoola

in EconStor Theses from ZBW - Leibniz Information Centre for Economics

Abstract: Balanced Incomplete Block Designs (BIBDs) are commonly used when the number of experimental treatments is less than the block size. However, there are cases when the block sizes available for an experiment are not the same. Hence the use of a Pairwise Balanced Design (PBD). A PBD (n, K, λ) is a block design where n is the number of treatments, K= {k1, k2…, kb} is the set of sizes of a block, and λ is the number of times a pair of treatments appears together within blocks. Also, little is known about the construction of PBDs using Lotto Designs (LDs). Methods of constructing PBDs in literature are complex. The aim of this study, therefore, was to provide a simple method for constructing PBDs when K= {3, 4} and {3, 4, 5}. The specific objectives were to: (i) investigate various methods of constructing PBDs (ii) establish conditions for the identification of LDs that qualify as PBDs, and (iii) provide a simple method for constructing two classes of PBDs from LDs; The study utilized Li’s inequality ⌊pr/(t-1)⌋((t-1)¦2)+((pr-⌊pr/(t-1)⌋)¦( 2) (t-1))

Keywords: Balanced Incomplete Block Designs; Exeperiental Designs; Block Designs; Pairwise Balanced Deisgns (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.econstor.eu/bitstream/10419/268718/1/A ... nal%20Thesis%201.pdf (application/pdf)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:zbw:esthes:268718

Access Statistics for this book

More books in EconStor Theses from ZBW - Leibniz Information Centre for Economics Contact information at EDIRC.
Bibliographic data for series maintained by ZBW - Leibniz Information Centre for Economics ().