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AuthorMรผller, Christine H. author
TitleRobust Planning and Analysis of Experiments [electronic resource] / by Christine H. Mรผller
ImprintNew York, NY : Springer New York, 1997
Connect tohttp://dx.doi.org/10.1007/978-1-4612-2296-5
Descript X, 234 p. online resource

SUMMARY

Author-approved bcc: Robust statistics and the design of experiments are two of the fastest growing fields in contemporary statistics. Up to now, there has been very little overlap between these fields. In robust statistics, robust alternatives to the nonrobust least squares estimator have been developed, while in experimental design, designs for the efficient use of the least square estimator have been developed. This volume is the first to link these two areas by studying the influence of the design on the efficiency and robustness of robust estimators and tests. It shows that robust statistical procedures profit by an appropriate choice of the design and that efficient designs for a robust statistical analysis are more applicable. The classical approaches of experimental design and robust statistics are introduced before the areas are linked. Dr. Christine H. M ller teaches at the Department of Mathematics and Computer Science of the Free University of Berlin and is a member of the research project on "Efficient Experiments in Industrial Production." From 1988-1991, she worked as a biometrician at the Medical Department of the Free University of Berlin


CONTENT

I: Efficient Inference for Planned Experiments -- 1 Planned Experiments -- 2 Efficiency Concepts for Outlier-Free Observations -- II: Robust Inference for Planned Experiments -- 3 Smoothness Concepts of Outlier Robustness -- 4 Robustness Measures: Bias and Breakdown Points -- 5 Asymptotic Robustness for Shrinking Contamination -- 6 Robustness of Tests -- III: High Robustness and High Efficiency -- 7 High Robustness and High Efficiency of Estimation -- 8 High Robustness and High Efficiency of Tests -- 9 High Breakdown Point and High Efficiency -- Outlook -- A.1 Asymptotic Linearity of Frechet Differentiable Functionals -- A.2 Properties of Special Matrices and Functions -- References -- List of Symbols


Mathematics Applied mathematics Engineering mathematics Mathematics Applications of Mathematics



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