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

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John Wiley & Sons, May 13, 2005 - Mathematics - 780 pages
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A comprehensive overview of experimental design at the advancedlevel

The development and introduction of new experimental designs inthe last fifty years has been quite staggering and was broughtabout largely by an ever-widening field of applications. Design andAnalysis of Experiments, Volume 2: Advanced Experimental Design isthe second of a two-volume body of work that builds upon thephilosophical foundations of experimental design set forth half acentury ago by Oscar Kempthorne, and features the latestdevelopments in the field.

Volume 1: An Introduction to Experimental Design introducedstudents 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 developmentof derived linear models. Design and Analysis of Experiments,Volume 2 provides more detail about aspects of error control andtreatment design, with emphasis on their historical development andpractical significance, and the connections between them. Designedfor 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 abroad range of fields, the authors take a general approach to theirdiscussions. To aid in the construction and analysis of designs,many procedures are illustrated using Statistical Analysis System(SASŪ) software.

 

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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
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About the author (2005)

KLAUS HINKELMANN, PHD, is Emeritus Professor of Statistics atVirginia Polytechnic Institute and State University Department ofStatistics, where he also served as both graduate administrator anddepartment head. In addition to being a Fellow of both the AmericanStatistical Association and the American Association for theAdvancement of Science, Professor Hinkelmann is a member of theInternational Statistical Institute, and has served as a councilmember of the International Biometric Society. He was editor ofBiometrics and the Current Index to Statistics.

OSCAR KEMPTHORNE, SCD, was Emeritus Professor of Statistics andEmeritus Distinguished Professor of Liberal Arts and Sciences atIowa State University. He was a Fellow of the American StatisticalAssociation, the Institute of Mathematical Statistics, and theAmerican Association for the Advancement of Science, as well as anHonorary Fellow of the Royal Statistical Society and a member ofthe International Statistical Institute. In addition, Dr.Kempthorne was a past president of the Eastern North AmericanRegion (ENAR) of the International Biometric Society, a formerchairman of statistics within the American Association for theAdvancement of Science, and a past president of the Institute ofMathematical Statistics.

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