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The superposition of t treatments on a (t-1) x t Youden square design



Representative members of the species of (t - 1) x t Youden squares for t = 4, 5, 6 are given. The superposition of a further set of t non-interacting treatments on such a design leads to an O: OT: OTT design. The numbers of O: OT: OTT designs for each species of Youden squares are given, together with examples of the various types of solution where they exist. For 3 x 4 Youden squares there are O: OT: OTT solutions for both species, but for 4 x 5 Youden squares there is a solution for only one of the three species. For 5 x 6 Youden squares the numbers of O: OT: OTT solutions for the 33 species ranges from 0 to 160

Topics: QA
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