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How the design of an experiment influences the nonsensitiveness regions in models with variance components

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Abstract

Nonsensitiveness regions for estimators of linear functions, for confidence ellipsoids, for the level of a test of a linear hypothesis on parameters and for the value of the power function are investigated in a linear model with variance components.

The influence of the design of an experiment on the nonsensitiveness regions mentioned is numerically demonstrated and discussed on an example.

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Authors and Affiliations

  1. Department of Mathematical Analysis and Applied Mathematics, Czech Republic

    Lubomír Kubáček, Ludmila Kubáčková & Jaroslav Marek

  2. Department of Algebra and Geometry, Faculty of Natural Science, Palacký University, Tomkova 40, 779 00, Olomouc, Czech Republic

    Eva Tesaříková

Authors
  1. Lubomír Kubáček
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  2. Ludmila Kubáčková
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  3. Eva Tesaříková
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  4. Jaroslav Marek
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Kubáček, L., Kubáčková, L., Tesaříková, E. et al. How the design of an experiment influences the nonsensitiveness regions in models with variance components. Applications of Mathematics 43, 439–460 (1998). https://doi.org/10.1023/A:1023269321385

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  • DOI: https://doi.org/10.1023/A:1023269321385

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