On the Symmetric Balanced Incomplete Block Designs from Mutually Orthogonal Latin Squares

No Thumbnail Available

Files

On the Symmetric-Balanced-Incomplete-Block-Designs-for-Seven-Treatments-from-Mutually-Orthogonal-Latin-Square-of-Order-7.pdf (335.49 KB)

Date

2020-05-06

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Islamic University, Uganda

Abstract

A set of Mutually Orthogonal Latin Squares (MOLS) of order 7 gives rise to series of incomplete block designs, such as; balanced incomplete block designs (BIBD), and partially balanced incomplete block designs of two, three, four, five and six associate classes, that is PBIBD(k) with k =2,3,4,5 and 6. Two distinct Near-Resolvable BIBDs that are symmetric are equally obtained. All the aforementioned designs are constructed via orderly combinations of off-diagonal elements of a complete set of mutually orthogonal Latin squares (MOLS).

Description

Keywords

Orthogonal Latin Square, Symmetric, Near-Resolvable, Incomplete Block Designs, Partially Balanced Incomplete Block Designs

Citation

URI

https://uilspace.unilorin.edu.ng/handle/20.500.12484/10988

Collections