Some sufficient conditions for the type 1 optimality of block designs (Q1058797)
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scientific article; zbMATH DE number 3901843
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some sufficient conditions for the type 1 optimality of block designs |
scientific article; zbMATH DE number 3901843 |
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Some sufficient conditions for the type 1 optimality of block designs (English)
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1985
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This paper gives the solutions to two optimization problems in experimental designs, arranged in blocks. \textit{J. A. John} and \textit{T. J. Mitchell}'s [J. R. Stat. Soc., Ser. B 39, 39-43 (1977; Zbl 0354.05015)] definition of regular graph designs is extended to semi-regular graph designs. Conditions for optimality under type 1 criterion are derived. Also, some sufficient conditions for the dual of an A or D optimal design to be A- or D-optimal are given.
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type 1 optimality
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A-optimality
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D-optimality
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dual designs
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semi-regular graph designs
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