Subjects
-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
MiddleName
-Affiliation
Agriculture research Center, Egypt
Email
-City
-Orcid
-MiddleName
-Affiliation
Indian Statistical Institute, India
Email
-City
-Orcid
-Link
https://esju.journals.ekb.eg/article_314343.html
Detail API
http://journals.ekb.eg?_action=service&article_code=314343
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