A Set of Double Youden Rectangles of Size \(8 x 15\)

D.A. Preece1
1Institute of Mathematics and Statistics Cornwallis Building, The University Canterbury, Kent CT2 7NF U.K.

Abstract

This note recapitulates the definition of a ‘double Youden rectangle’, which is a particular kind of balanced Graeco-Latin design obtainable by superimposing a second set of treatments on a Youden square, and reports the discovery of examples that are of size \(8 \times 1\). The method by which the examples were obtained seems likely to be fruitful for the construction of double Youden rectangles of larger sizes.