Hyper-Graeco-Latin Squares and Fractional Factorial Designs

Pen-Hwang Liau, Pi-Hsiang Huang, Jui-Jung Ho and Yen-Hung Chen

Communications in Statistics - Theory and Methods, 2014, vol. 43, issue 10-12, 2286-2296

Abstract: A Latin square of order s is an arrangement of the s letters in an s × s square so that every letter appears exactly once in every row and exactly once in every column. Copeland and Nelson (2000) used two examples to show that a Latin square can be chosen such that it corresponds to a fractional factorial design. In this article, we are going to study this topic more precisely. Furthermore, we will explore the relationship between fractional factorial designs and hyper-Graeco-Latin squares in general, where s is a prime or a power of a prime.

Date: 2014
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DOI: 10.1080/03610926.2013.796986

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