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Nearly Balanced And Resolvable Block Designs, Brian Henry Reck
Nearly Balanced And Resolvable Block Designs, Brian Henry Reck
Mathematics & Statistics Theses & Dissertations
One of the fundamental principles of experimental design is the separation of heterogeneous experimental units into subsets of more homogeneous units or blocks in order to isolate identifiable, unwanted, but unavoidable, variation in measurements made from the units. Given v treatments to compare, and having available b blocks of k experimental units each, the thoughtful statistician asks, “What is the optimal allocation of the treatments to the units?” This is the basic block design problem. Let nij be the number of times treatment i is used in block j and let N be the v x b matrix N …