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Zur Optimalität des F-Testes für lineare Hypothesen über lineare Modelle mit gemischten Effekten

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Summary

A rather general class of mixed linear models is treated in this paper. Fixed models are included as a special case. For certain linear hypotheses the analysis-of-variance-test (F-Test) is shown to be uniformly most powerfull among all tests being invariant and unbiased. Those are for instance the usual hypotheses of treatment effects and interactions in latin squares and (possibly unbalanced) split-plot-models, both with random blocks.

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  1. Abt. Med. Statistik und Dokumentation der RWTH, Goethestr. 23, D-5100, Aachen

    P. Roebruck

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  1. P. Roebruck
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Roebruck, P. Zur Optimalität des F-Testes für lineare Hypothesen über lineare Modelle mit gemischten Effekten. Metrika 30, 85–91 (1983). https://doi.org/10.1007/BF02056905

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  • DOI: https://doi.org/10.1007/BF02056905

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