Some adjusted orthogonal,variance balanced,multidimensional block designs |
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Authors: | Frances P Stewart Ralph A Bradley |
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Institution: | University of Georgia , Athens, Georgia, 30602 |
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Abstract: | A multidimensional block design (MBD) is an experimental design with d > 1 blocking criteria geometrically represented as a d-dimensional lattice with treatment varieties assigned to some or all nodes of the lattice. Intrablock analysis of variance tables for some special classes of two- and three-dimensional block designs with some empty nodes are given. Design plans and efficiencies for 31 two-dimensional designs, each universally optimal in defined classes of designs, and 7 three-dimensional designs, each nearly optimal in defined classes of designs, are listed in the appendices. A need for such designs is apparent when the blocking criteria are implemented successively and empty nodes do not represent wasted experimental units. |
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Keywords: | Adjusted orthogonality intrablock analysis of variance multidimensional block desings structural balance variance balance universal optimality |
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