Optimum properties of latin square designs and a matrix inequality |
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| Authors: | N Gaffke O Krafft |
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| Institution: | Institut für Statisik und Wirtachaftamathematik , RWTH , Pont-Strase 51, Aachen, D 5100, BRD |
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| Abstract: | The paper deals with uniform and D-optimality of designs in the two-way elimination of heterogeneities. It is shown that designs which are optimum for the hypothesis that all treatment effects are equal are optimum for some other hypotheses, too. The Proof is based on a new matrix- and determinantal inequality. |
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| Keywords: | Nested Parameter structure multiple testing stagewise rejective tests |
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