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Robust Planning and Analysis of Experiments : Lecture Notes in Statistics - C.H. Mueller

Robust Planning and Analysis of Experiments

Lecture Notes in Statistics

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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.

Preface
Efficient Inference for Planned Experimentsp. 1
Planned Experimentsp. 2
Efficiency Concepts for Outlier-Free Observationsp. 10
Robust Inference for Planned Experimentsp. 25
Smoothness Concepts of Outlier Robustnessp. 26
Robustness Measures: Bias and Breakdown Pointsp. 48
Asymptotic Robustness for Shrinking Contaminationp. 75
Robustness of Testsp. 98
High Robustness and High Efficiencyp. 109
High Robustness and High Efficiency of Estimationp. 110
High Robustness and High Efficiency of Testsp. 143
High Breakdown Point and High Efficiencyp. 171
Outlookp. 184
Asymptotic Linearity of Frechet Differentiable Functionalsp. 189
Properties of Special Matrices and Functionsp. 193
Referencesp. 207
List of Symbolsp. 225
Indexp. 231
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387982236
ISBN-10: 038798223X
Series: Lecture Notes in Statistics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 234
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.39 x 15.6  x 1.32
Weight (kg): 0.35