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Multi‐layered Youden Rectangles
Authors:D A Preece  J P Morgan
Institution:1. School of Mathematical Sciences, Queen Mary University of London, London, UK;2. School of Mathematics, Statistics and Actuarial Science, Cornwallis Building, University of Kent, Canterbury, Kent, UK;3. Department of Statistics, Virginia Tech, Blacksburg, Virginia
Abstract:Multi‐layered Youden rectangles are introduced. These new designs include double and triple Youden rectangles as subdesigns. Though many double Youden rectangles are known, the triples, introduced in 1994, have to now yielded few nontrivial examples. Two infinite series of multi‐layered Youden rectangles are constructed, and so also many new triple Youden rectangles.
Keywords:row–  column design  Youden square  Youden array
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