9. Minimum Aberration and Related Criteria for Fractional Factorial Designs

  1. Klaus Hinkelmann
  1. Hegang H. Chen1 and
  2. Ching-Shui Cheng2

Published Online: 3 JAN 2012

DOI: 10.1002/9781118147634.ch9

Design and Analysis of Experiments: Special Designs and Applications, Volume 3

Design and Analysis of Experiments: Special Designs and Applications, Volume 3

How to Cite

Chen, H. H. and Cheng, C.-S. (2012) Minimum Aberration and Related Criteria for Fractional Factorial Designs, in Design and Analysis of Experiments: Special Designs and Applications, Volume 3 (ed K. Hinkelmann), John Wiley & Sons, Inc., Hoboken, NJ, USA. doi: 10.1002/9781118147634.ch9

Editor Information

  1. Virginia Polytechnic Institute and State University, Blacksburg, Virginia, USA

Author Information

  1. 1

    University of Maryland, USA

  2. 2

    University of California, USA

Publication History

  1. Published Online: 3 JAN 2012
  2. Published Print: 27 JAN 2012

Book Series:

  1. Wiley Series in Probability and Statistics

Book Series Editors:

  1. David J. Balding,
  2. Noel A. C. Cressie,
  3. Garrett M. Fitzmaurice,
  4. Harvey Goldstein,
  5. Iain M. Johnstone,
  6. Geert Molenberghs,
  7. David W. Scott,
  8. Adrian F. M. Smith,
  9. Ruey S. Tsay and
  10. Sanford Weisberg

ISBN Information

Print ISBN: 9780470530689

Online ISBN: 9781118147634

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Keywords:

  • fractional factorial designs, minimum aberration, estimation, index capacity;
  • clear two-factor interactions, resolution III, IV designs;
  • constructing minimum aberration designs via complementary designs

Summary

This chapter contains sections titled:

  • Introduction

  • Projections of Fractional Factorial Designs

  • Estimation Capacity

  • Clear Two-Factor Interactions

  • Estimation Index

  • Estimation Index, Minimum Aberration, and Maximum Estimation Capacity

  • Complementary Design Theory for Minimum Aberration Designs

  • Nonregular Designs and Orthogonal Arrays

  • Generalized Minimum Aberration

  • Optimal Fractional Factorial Block Designs

  • References