Abstract
Details are given of how to construct O : OT : TOO designs in which a 2nd set of treatments is superimposed on a 5 x 4 or a 6 x 5 Youden square, using as a basis Fisher and Yates''s [1963] list of standard 5 x 5 and 6 x 6 Latin squares. For 6 x 5 designs, 6 different patterns of occurrence have arisen for the 2nd set of treatments. The existence of 7 x 4 designs of this type is also demonstrated, and the form of analysis given.

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