The Theory of the Design of Experiments

The Theory of the Design of Experiments

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Why study the theory of experiment design? Although it can be useful to know about special designs for specific purposes, experience suggests that a particular design can rarely be used directly. It needs adaptation to accommodate the circumstances of the experiment. Successful designs depend upon adapting general theoretical principles to the special constraints of individual applications. Written for a general audience of researchers across the range of experimental disciplines, The Theory of the Design of Experiments presents the major topics associated with experiment design, focusing on the key concepts and the statistical structure of those concepts. The authors keep the level of mathematics elementary, for the most part, and downplay methods of data analysis. Their emphasis is firmly on design, but appendices offer self-contained reviews of algebra and some standard methods of analysis. From their development in association with agricultural field trials, through their adaptation to the physical sciences, industry, and medicine, the statistical aspects of the design of experiments have become well refined. In statistics courses of study, however, the design of experiments very often receives much less emphasis than methods of analysis. The Theory of the Design of Experiments fills this potential gap in the education of practicing statisticians, statistics students, and researchers in all fields.show more

Product details

  • Hardback | 336 pages
  • 159.8 x 236.2 x 22.1mm | 597.18g
  • Taylor & Francis Inc
  • Chapman & Hall/CRC
  • Boca Raton, FL, United States
  • English
  • 54 black & white tables
  • 158488195X
  • 9781584881957
  • 2,432,688

Review quote

"As the very antithesis of all those downmarket cookbooks of experimental design, this monograph is to be welcomed." -D. A. Preece, Biometrics, March 2001 "This long awaited book is in the spirit of the classic introductory text by D. R. Cox a compact and insightful presentation of an unusually wide range of design areas important for industrial and agricultural experiments, and clinical trials The book will be particularly useful for statisticians who want to learn about design theory linked to practical problems, and for advanced undergraduate and post-graduate students This approach enables a clear presentation of key ideas in the main areas of design, and gives an interesting and enjoyable read." Short Book Reviews, Volume 20, No. 3, December 2000 "Intended for anyone concerned with the theoretical issues in the design of experiments, this well-organized book of 224 pages (8 chapters) of text and 74 pages of appendixes provides a clear account of the major topics in the area... In summary, this book is an excellent addition to the literature. It can serve as a cornerstone in a graduate student's exploration in the theoretical aspects of experimental design and is a valuable reference for statisticians working in medicine, agriculture, the physical sciences, and other areas of biometry and industry." -Technometrics, Vol. 43, No. 4, November 2001 "This approach is a refreshing change from the many contemporary expository books on statistical study designthis carefully written and concise book with its large, well-selected collection of references will be a useful addition to the library of any serious statistician." -Statistics in Medicine, Vol. 21, 2002show more

Table of contents

SOME GENERAL CONCEPTS Types of Investigation Observational Studies Some Key Terms Requirements in Design Interplay between Design and Analysis Key Steps in Design A Simplified Model A Broader View AVOIDANCE OF BIAS General Remarks Randomization Retrospective Adjustment for Bias Some More on Randomization More on Causality CONTROL OF HAPHAZARD VARIATION General Remarks Precision Improvement by Blocking Matched Pairs Randomized Block Design Partitioning Sums of Squares Retrospective Adjustment for Improving Precision Special Models of Error Variation SPECIALIZED BLOCKING TECHNIQUES Latin Squares Incomplete Block Designs Cross-Over Designs FACTORIAL EXPERIMENTS: BASIC IDEAS General Remarks Example Main Effects and Interactions Example: Continued Two-Level Factorial Systems Fractional Factorials Example FACTORIAL EXPERIMENTS: FURTHER DEVELOPMENTS General Remarks Confounding in 2k Designs Other Factorial Systems Split Plot Designs Nonspecific Factors Designs for Quantitative Factors Taguchi Methods Conclusion OPTIMAL DESIGN General Remarks Some Simple Examples Some General Theory Other Optimality Criteria Algorithms for Design Construction Nonlinear Design Space-Filling Designs Bayesian Design Optimality of Traditional Designs SOME ADDITIONAL TOPICS Scale of Effort Adaptive Designs Sequential Regression Design Designs for One-Dimensional Error Structure Spatial Designs APPENDIX A: Statistical Analysis APPENDIX B: Some Algebra APPENDIX C: Computational Issues Each chapter also contains Bibliographic Notes plus Further Results and Exercisesshow more

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