Design and Analysis of Experiments, Volume 2: Advanced Experimental Design

Front Cover
John Wiley & Sons, May 13, 2005 - Mathematics - 780 pages
The development and introduction of new experimental designs in the last fifty years has been quite staggering, brought about largely by an ever-widening field of applications. Design and Analysis of Experiments, Volume 2: Advanced Experimental Design is the second of a two-volume body of work that builds upon the philosophical foundations of experimental design set forth by Oscar Kempthorne half a century ago and updates it with the latest developments in the field. Designed for advanced-level graduate students and industry professionals, this text includes coverage of incomplete block and row-column designs; symmetrical, asymmetrical, and fractional factorial designs; main effect plans and their construction; supersaturated designs; robust design, or Taguchi experiments; lattice designs; and cross-over designs.
 

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Contents

1 General Incomplete Block Design
1
2 Balanced Incomplete Block Designs
71
3 Construction of Balanced Incomplete Block Designs
104
4 Partially Balanced Incomplete Block Designs
119
5 Construction of Partially Balanced Incomplete Block Designs
158
6 More Block Designs and Blocking Structures
189
7 TwoLevel Factorial Designs
241
8 Confounding in 2n Factorial Designs
279
15 Supersaturated Designs
596
16 Search Designs
608
17 RobustDesign Experiments
633
18 Lattice Designs
649
19 Crossover Designs
684
Appendix A Fields and Galois Fields
716
Appendix B Finite Geometries
721
Appendix C Orthogonal and Balanced Arrays
724

9 Partial Confounding in 2n Factorial Designs
312
10 Designs with Factors at Three Levels
359
11 General Symmetrical Factorial Design
393
12 Confounding in Asymmetrical Factorial Designs
466
13 Fractional Factorial Designs
507
14 Main Effect Plans
564
Appendix D Selected Asymmetrical Balanced Factorial Designs
728
Appendix E Exercises
736
References
749
Author Index
767
Subject Index
771
Copyright

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About the author (2005)

KLAUS HINKELMANN, PHD, is Emeritus Professor of Statistics at Virginia Polytechnic Institute and State University Department of Statistics, where he also served as both graduate administrator and department head. In addition to being a Fellow of both the American Statistical Association and the American Association for the Advancement of Science, Professor Hinkelmann is a member of the International Statistical Institute, and has served as a council member of the International Biometric Society. He was editor of Biometrics and the Current Index to Statistics.

OSCAR KEMPTHORNE, SCD, was Emeritus Professor of Statistics and Emeritus Distinguished Professor of Liberal Arts and Sciences at Iowa State University. He was a Fellow of the American Statistical Association, the Institute of Mathematical Statistics, and the American Association for the Advancement of Science, as well as an Honorary Fellow of the Royal Statistical Society and a member of the International Statistical Institute. In addition, Dr. Kempthorne was a past president of the Eastern North American Region (ENAR) of the International Biometric Society, a former chairman of statistics within the American Association for the Advancement of Science, and a past president of the Institute of Mathematical Statistics.

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