A Set of Double Youden Rectangles of Size $8x15$

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.