A Comprehensive Guide to Factorial Two-Level Experimentation

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Factorial designs enable researchers to experiment with many factors. The 50 published examples re-analyzed in this guide attest to the prolific use of two-level factorial designs. As a testimony to this universal applicability, the examples come from diverse fields:

  • Analytical Chemistry
  • Animal Science
  • Automotive Manufacturing
  • Ceramics and Coatings
  • Chromatography
  • Electroplating
  • Food Technology
  • Injection Molding
  • Marketing
  • Microarray Processing
  • Modeling and Neural Networks
  • Organic Chemistry
  • Product Testing
  • Quality Improvement
  • Semiconductor Manufacturing
  • Transportation

Focusing on factorial experimentation with two-level factors makes this book unique, allowing the only comprehensive coverage of two-level design construction and analysis. Furthermore, since two-level factorial experiments are easily analyzed using multiple regression models, this focus on two-level designs makes the material understandable to a wide audience. This book is accessible to non-statisticians having a grasp of least squares estimation for multiple regression and exposure to analysis of variance.

Robert W. Mee is Professor of Statistics at the University of Tennessee. Dr. Mee is a Fellow of the American Statistical Association. He has served on the Journal of Quality Technology (JQT) Editorial Review Board and as Associate Editor for Technometrics. He received the 2004 Lloyd Nelson award, which recognizes the year’s best article for practitioners in JQT.

"This book contains a wealth of information, including recent results on the design of two-level factorials and various aspects of analysis… The examples are particularly clear and insightful." (William Notz, Ohio State University

"One of the strongest points of this book for an audience of practitioners is the excellent collection of published experiments, some of which didn’t ‘come out’ as expected… A statistically literate non-statistician who deals with experimental design will have plenty of motivation to read this book, and the payback for the effort will be substantial." (Max Morris, Iowa State University)

Author(s): Robert Mee (auth.)
Edition: 1
Publisher: Springer-Verlag New York
Year: 2009

Language: English
Pages: 545
Tags: Statistics, general; Chemistry/Food Science, general; Materials Science, general; Industrial and Production Engineering; Mechanical Engineering; Marketing

Front Matter....Pages 1-16
Front Matter....Pages 1-1
Introduction to Full Factorial Designs with Two-Level Factors....Pages 3-26
Analysis of Full Factorial Experiments....Pages 27-74
Common Randomization Restrictions....Pages 75-114
More Full Factorial Design Examples....Pages 115-142
Front Matter....Pages 144-144
Fractional Factorial Designs: The Basics....Pages 145-171
Fractional Factorial Designs for Estimating Main Effects....Pages 173-244
Designs for Estimating Main Effects and Some Two-Factor Interactions....Pages 245-282
Resolution V Fractional Factorial Designs....Pages 283-316
Augmenting Fractional Factorial Designs....Pages 317-342
Fractional Factorial Designs with Randomization Restrictions....Pages 343-374
More Fractional Factorial Design Examples....Pages 375-394
Front Matter....Pages 396-396
Response Surface Methods and Second-Order Designs....Pages 397-414
Special Topics Regarding the Design....Pages 415-435
Special Topics Regarding the Analysis....Pages 437-468
Front Matter....Pages 470-470
Upper Percentiles of t Distributions, t α ....Pages 471-471
Upper Percentiles of F Distributions, F α ....Pages 473-475
Upper Percentiles for Lenth t Statistics, $$\mathop C\nolimits_\alpha ^{{\rm IER}}$$ and $$\mathop C\nolimits_\alpha ^{{\rm EER}}$$ ....Pages 477-479
Computing Upper Percentiles for Maximum Studentized Residual....Pages 481-482
Orthogonal Blocking for Full 2 k Factorial Designs....Pages 483-484
Column Labels of Generators for Regular Fractional Factorial Designs....Pages 485-486
Front Matter....Pages 470-470
Tables of Minimum Aberration Regular Fractional Factorial Designs....Pages 487-495
Minimum Aberration Blocking Schemes for Fractional Factorial Designs....Pages 497-510
Alias Matrix Derivation....Pages 511-512
Distinguishing Among Fractional Factorial Designs....Pages 513-516
Back Matter....Pages 1-30