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Optimum Designs for Multi-Factor Models

  • Book
  • © 1996

Overview

Authors:
  1. Rainer Schwabe

    1. Fachbereich Mathematik und Informatik, Freie Universitat Berlin, Berlin, Germany

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Part of the book series: Lecture Notes in Statistics (LNS, volume 113)

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-vii
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  2. General Concepts

    1. Front Matter

      Pages 1-1
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    2. Foundations

      • Rainer Schwabe
      Pages 2-7

    3. A Review on Optimum Design Theory

      • Rainer Schwabe
      Pages 8-14

    4. Reduction Principles

      • Rainer Schwabe
      Pages 15-33

  3. Particular Classes of Multi-factor Models

    1. Front Matter

      Pages 35-37
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    2. Complete Product-type Interactions

      • Rainer Schwabe
      Pages 38-48

    3. No Interactions

      • Rainer Schwabe
      Pages 49-75

    4. Partial Interactions

      • Rainer Schwabe
      Pages 76-106

    5. Some Additional Results

      • Rainer Schwabe
      Pages 107-111

  4. Back Matter

    Pages 112-126
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Keywords

About this book

In real applications most experimental situations are influenced by a large number of different factors. In these settings the design of an experiment leads to challenging optimization problems, even if the underlying relationship can be described by a linear model. Based on recent research, this book introduces the theory of optimum designs for complex models and develops general methods of reduction to marginal problems for large classes of models with relevant interaction structures.

Authors and Affiliations

  • Fachbereich Mathematik und Informatik, Freie Universitat Berlin, Berlin, Germany

    Rainer Schwabe

Bibliographic Information

  • Book Title: Optimum Designs for Multi-Factor Models

  • Authors: Rainer Schwabe

  • Series Title: Lecture Notes in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-4038-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1996

  • Softcover ISBN: 978-0-387-94745-7Published: 02 May 1996

  • eBook ISBN: 978-1-4612-4038-9Published: 06 December 2012

  • Series ISSN: 0930-0325

  • Series E-ISSN: 2197-7186

  • Edition Number: 1

  • Number of Pages: 124

  • Topics: Probability Theory and Stochastic Processes

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