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How the design of an experiment influences the nonsensitiveness regions in models with variance components. (English) Zbl 0937.62070

From the authors’ 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.
Reviewer: K.Zvára (Praha)

MSC:

62J10 Analysis of variance and covariance (ANOVA)
62J05 Linear regression; mixed models
62K99 Design of statistical experiments
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References:

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