Design and Analysis of Experiments, Advanced Experimental Design (Google eBook)

Klaus Hinkelmann, Oscar Kempthorne

John Wiley & Sons, May 13, 2005 - Mathematics - 780 pages

A comprehensive overview of experimental design at the advanced level

The development and introduction of new experimental designs in the last fifty years has been quite staggering and was 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 half a century ago by Oscar Kempthorne, and features the latest developments in the field.

Volume 1: An Introduction to Experimental Design introduced students at the MS level to the principles of experimental design, including the groundbreaking work of R. A. Fisher and Frank Yates, and Kempthorne's work in randomization theory with the development of derived linear models. Design and Analysis of Experiments, Volume 2 provides more detail about aspects of error control and treatment design, with emphasis on their historical development and practical significance, and the connections between them. Designed for advanced-level graduate students and industry professionals, this text includes coverage of:

• Incomplete block and row-column designs
• Symmetrical and asymmetrical factorial designs
• Systems of confounding
• Fractional factorial designs, including main effect plans
• Supersaturated designs
• Robust design or Taguchi experiments
• Lattice designs
• Crossover designs

In order to facilitate the application of text material to a broad range of fields, the authors take a general approach to their discussions. To aid in the construction and analysis of designs, many procedures are illustrated using Statistical Analysis System (SAS®) software.

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
• 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
• 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
• Appendix D Selected Asymmetrical Balanced Factorial Designs: 728
• Appendix E Exercises: 736
• References: 749
• Author Index: 767
• Subject Index: 771

About the author

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.

Bibliographic information

• Title: Design and Analysis of Experiments, Advanced Experimental Design; Volume 2 of Design and Analysis of Experiments; Volume 276 of Wiley Series in Probability and Statistics
• Authors: Klaus Hinkelmann, Oscar Kempthorne
• Publisher: John Wiley & Sons, 2005
• ISBN: 047170993X, 9780471709930
• Length: 780 pages
• Subjects: Mathematics / Probability & Statistics / General