Description

Chemometrics in Spectroscopy builds upon the statistical information covered in other books written by these leading authors in the field by providing a broader range of mathematics and progressing into the fundamentals of multivariate and experimental data analysis. Subjects covered in this work include: matrix algebra, analytic geometry, experimental design, calibration regression, linearity, design of collaborative laboratory studies, comparing analytical methods, noise analysis, use of derivatives, analytical accuracy, analysis of variance, and much more are all part of this chemometrics compendium. Developed in the form of a tutorial offering a basic hands-on approach to chemometric and statistical analysis for analytical scientists, experimentalists, and spectroscopists. Without using complicated mathematics, Chemometrics in Spectroscopy demonstrates the basic principles underlying the use of common experimental, chemometric, and statistical tools. Emphasis has been given to problem-solving applications and the proper use and interpretation of data used for scientific research.

Key Features

* Offers basic hands-on approach to chemometric and statistical analysis for analytical scientists, experimentalists, and spectroscopists. * Useful for analysts in their daily problem solving, as well as detailed insights into subjects often considered difficult to thoroughly grasp by non-specialists. * Provides mathematical proofs and derivations for the student or rigorously-minded specialist

Readership

For graduate students and above and for the practicing analyst or theoretician. Chemometricians, bioinformaticians, econometricians, psychometricians, statisticians, scientists, spectroscopists, analysts, clinicians, researchers, computer scientists, information specialists, and students in the natural sciences will all find the short descriptive chapters both helpful and full of valuable insight for mathematical and philosophical methods and approaches common to all these fields.

Table of Contents

1. A New Beginning
2. Elementary Matrix Algebra, Part 1
3. Elementary Matrix Algebra, Part 2
4. Matrix Algebra and Multiple Linear Regression, Part 1
5. Matrix Algebra and Multiple Linear Regression, Part 2
6. Matrix Algebra and Multiple Linear Regression, Part 3
7. Matrix Algebra and Multiple Linear Regression: Conclusion
8. Experimental Designs - Part 1
9. Experimental Designs - Part 2
10. Experimental Designs - Part 3
11. Analytic Geometry, Part I
12. Analytic Geometry, Part II
13. Analytic Geometry, Part III
14. Analytic Geometry, Part IV
15. Experimental Designs Part IV - Varying Parameters to Expand the Design
16. Experimental Designs Part V - One-at-a-time Designs
17. Experimental Designs Part VI - Sequential Designs
18. Experimental Designs Part VII, The Power of a Test
19. Experimental Designs Part VIII, The Power of a Test (Continued)
20. Experimental Designs Part IX - Sequential Designs Concluded
21. Calculating the Solution for Regression Techniques - Part I: Multivariate Regression Made Simple
22. Calculating the Solution for Regression Techniques - Part II: Principal Component(s) Regression Made Simple
23. Calculating the Solution for Regression Techniques - Part III: Partial Least Squares Regression Made Simple
24. Looking Ahead and Behind
25. A Simple Question
26. Calculating the Solution for Regression Techniques - Part IV: Singular Value Decomposition
27. Linearity in Calibration
28. Challenges: Unsolved Problems in Chemometrics
29. Linearity in

Details

No. of pages:
558
Language:
English
Copyright:
© 2007
Published:
Imprint:
Academic Press
Print ISBN:
9780123740243
Electronic ISBN:
9780080548388