Experimental Design: A Chemometric Approach

S.N. Deming, S.L. Morgan

• Publisher: Elsevier Science
• Year: 1993
• Print ISBN: 9780444891112
• eBook ISBN: 9780080868387
• Edition: 2
• Topic: Physical Sciences
• Subtopic: Education General

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.

Table of contents

• Front Cover
• Experimental Design: A Chemometric Approach
• Copyright Page
• Contents
• Preface to the first edition
• Preface to the second edition
• Chapter 1. System Theory
• Chapter 2. Response Surfaces
• Chapter 3. Basic Statistics
• Chapter 4. One Experiment
• Chapter 5. Two Experiments
• Chapter 6. Hypothesis Testing
• Chapter 7. The Variance-Covariance Matrix
• Chapter 8. Three Experiments
• Chapter 9. Analysis of Variance (ANOVA) for Linear Models
• Chapter 10. An Example of Regression Analysis on Existing Data
• Chapter 11. A Ten-Experiment Example
• Chapter 12. Approximating a Region of a Multifactor Response Surface
• Chapter 13. Confidence Intervals for Full Second-Order Polynomial Models
• Chapter 14. Factorial-Based Designs
• Chapter 15. Additional Multifactor Concepts and Experimental Designs
• Appendix A Matrix Algebra
• Appendix B Critical Values of t
• Appendix C Critical Values of F, α=0.05
• References
• Subject Index