Experimental Design: A Chemometric Approach

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Now available is the second edition of a book which has been described as "...an exceptionally lucid, easy-to-read presentation... would be an excellent addition to the collection of every analytical chemist. I recommend it with great enthusiasm." (Analytical Chemistry)N.R. Draper reviewed the first edition in Publication of the International Statistical Institute "...discussion is careful, sensible, amicable, and modern and can be recommended for the intended readership."The scope of the first edition has been revised, enlarged and expanded. Approximately 30% of the text is new. The book first introduces the reader to the fundamentals of experimental design. Systems theory, response surface concepts, and basic statistics serve as a basis for the further development of matrix least squares and hypothesis testing. The effects of different experimental designs and different models on the variance-covariance matrix and on the analysis of variance (ANOVA) are extensively discussed. Applications and advanced topics (such as confidence bands, rotatability, and confounding) complete the text. Numerous worked examples are presented.The clear and practical approach adopted by the authors makes the book applicable to a wide audience. It will appeal particularly to those with a practical need (scientists, engineers, managers, research workers) who have completed their formal education but who still need to know efficient ways of carrying out experiments. It will also be an ideal text for advanced undergraduate and graduate students following courses in chemometrics, data acquisition and treatment, and design of experiments.

Author(s): Stanley N. Deming and Stephen L. Morgan (Eds.)
Series: Data Handling in Science and Technology 3
Publisher: Elsevier Science Ltd
Year: 1987

Language: English
Pages: iii-xiii, 1-286

Content:
Edited by
Page iii

Copyright page
Page iv

Preface
Pages xi-xiii
S.L. Morgan

Chapter 1 System Theory
Pages 1-19

Chapter 2 Response Surfaces
Pages 21-40

Chapter 3 Basic Statistics
Pages 41-52

Chapter 4 One Experiment
Pages 53-63

Chapter 5 Two Experiments
Pages 65-86

Chapter 6 Hypothesis Testing
Pages 87-103

Chapter 7 The Variance-Covariance Matrix
Pages 105-116

Chapter 8 Three Experiments
Pages 117-134

Chapter 9 Analysis of Variance (ANOVA) for Linear Models
Pages 135-156

Chapter 10 A Ten-Experiment Example
Pages 157-179

Chapter 11 Approximating a Region of a Multifactor Response Surface
Pages 181-221

Chapter 12 Additional Multifactor Concepts and Experimental Designs
Pages 223-251

Appendix A. Matrix Algebra
Pages 253-261

Appendix B. Critical Values of t
Page 263

Appendix C Critical Values of F, α = 0.05
Page 265

Subject Index
Pages 267-286