SUDOKU as an Experimental Design - Beyond the Traditional Latin Square Design I | ||||
| The Egyptian Statistical Journal | ||||
| Article 2, Volume 57, Issue 1, June 2013, Page 18-29 | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/esju.2013.314343 | ||||
 View on SCiNiTO | ||||
| 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. | ||||
| Keywords | ||||
| ANOVA Designs; CRD; RCBD; LSD; SUDOKU - Latin Square Designs with Internal Blocking | ||||
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Statistics Article View: 26 |
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