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Robust Planning and Analysis of Experiments

  • Christine H. Müller

Part of the Lecture Notes in Statistics book series (LNS, volume 124)

Table of contents

  1. Front Matter
    Pages i-x
  2. Efficient Inference for Planned Experiments

    1. Front Matter
      Pages 1-1
    2. Christine H. Müller
      Pages 2-9
    3. Christine H. Müller
      Pages 10-24
  3. Robust Inference for Planned Experiments

    1. Front Matter
      Pages 25-25
    2. Christine H. Müller
      Pages 26-47
    3. Christine H. Müller
      Pages 48-74
    4. Christine H. Müller
      Pages 75-97
    5. Christine H. Müller
      Pages 98-107
  4. High Robustness and High Efficiency

    1. Front Matter
      Pages 109-109
    2. Christine H. Müller
      Pages 110-142
    3. Christine H. Müller
      Pages 143-170
    4. Christine H. Müller
      Pages 171-183
    5. Christine H. Müller
      Pages 184-188
  5. Back Matter
    Pages 189-236

About this book

Introduction

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.

Keywords

Outlook Smooth function Volume computer science design function functional functions mathematics matrices modeling production robust statistics statistics university

Authors and affiliations

  • Christine H. Müller
    • 1
  1. 1.Fachbereich Mathematik und Informatik, WE1Freie Universität BerlinBerlinGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-2296-5
  • Copyright Information Springer-Verlag New York 1997
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-0-387-98223-6
  • Online ISBN 978-1-4612-2296-5
  • Series Print ISSN 0930-0325
  • Buy this book on publisher's site