314343

SUDOKU as an Experimental Design - Beyond the Traditional Latin Square Design I

Article

Last updated: 27 Apr 2025

Subjects

-

Tags

Applied statistics

Abstract

SUDOKU is an interesting combinatorial structure embedded within a Latin Square. It has been
gaining popularity as combinatorial puzzle. Website provides plenty of examples of such
SUDOKUS. It is well known that Latin Square Designs [LSDs] go beyond CRDS and RCBDS
in eliminating three external sources of variation in the experimental units [eu's] in an ANOVA
set-up. We examine the possibility of viewing SUDOKUS as experimental designs, going one
step beyond LSDs. It is contemplated that one additional [fourth] component of variation can be
suitably accommodated in a SUDOKU, though by sacrificing orthogonality. A detailed statistical
analysis is provided along with the underlying ANOVA Table for such designs based on
SUDOKUS. It is envisaged that the SUDOKUS will provide extra dimension of utility as
experimental designs.

DOI

10.21608/esju.2013.314343

Keywords

ANOVA Designs, CRD, RCBD, LSD, SUDOKU - Latin Square Designs with Internal Blocking

Authors

First Name

Michael

Last Name

F.A.Saba

MiddleName

-

Affiliation

Agriculture research Center, Egypt

Email

-

City

-

Orcid

-

First Name

Sinha

Last Name

Bikas.K

MiddleName

-

Affiliation

Indian Statistical Institute, India

Email

-

City

-

Orcid

-

Volume

57

Article Issue

1

Related Issue

43114

Issue Date

2013-06-01

Publish Date

2013-06-01

Page Start

18

Page End

29

Print ISSN

0542-1748

Online ISSN

2786-0086

Link

https://esju.journals.ekb.eg/article_314343.html

Detail API

http://journals.ekb.eg?_action=service&article_code=314343

Order

2

Type

Original Article

Type Code

1,914

Publication Type

Journal

Publication Title

The Egyptian Statistical Journal

Publication Link

https://esju.journals.ekb.eg/

MainTitle

SUDOKU as an Experimental Design - Beyond the Traditional Latin Square Design I

Details

Type

Article

Created At

28 Dec 2024