Chemometrics in spectroscopy / Howard Mark, Jerry Workman.

Format:

Book

Author/Creator:

Mark, Howard.

Contributor:

Workman, Jerry.

Language:

English

Subjects (All):

Chemometrics.

Spectrum analysis--Statistical methods.

Spectrum analysis.

Physical Description:

1 online resource (559 p.)

Edition:

1st ed.

Place of Publication:

Amsterdam ; Oxford : Academic, 2007.

Language Note:

English

Summary:

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 chemome

Contents:

Front Cover; Chemometrics in Spectroscopy; Copyright page; Table of Contents; Preface; Note to Readers; Chapter 1. A New Beginning . . .; THE MULTIVARIATE NORMAL DISTRIBUTION; REFERENCES; Chapter 2. Elementary Matrix Algebra: Part 1; MATRIX OPERATIONS; ELEMENTARY OPERATIONS FOR LINEAR EQUATIONS; SUMMARY; REFERENCES; Chapter 3. Elementary Matrix Algebra: Part 2; ELEMENTARY MATRIX OPERATIONS; CALCULATING THE INVERSE OF A MATRIX; SUMMARY; REFERENCES; Chapter 4. Matrix Algebra and Multiple Linear Regression: Part 1; QUASI-ALGEBRAIC OPERATIONS; MULTIPLE LINEAR REGRESSION; THE LEAST SQUARES METHOD

REFERENCESChapter 5. Matrix Algebra and Multiple Linear Regression: Part 2; THE POWER OF MATRIX MATHEMATICS; REFERENCES; Chapter 6. Matrix Algebra and Multiple Linear Regression: Part 3 - The Concept of Determinants; REFERENCES; Chapter 7. Matrix Algebra and Multiple Linear Regression: Part 4 - Concluding Remarks; A WORD OF CAUTION; REFERENCE; Chapter 8. Experimental Designs: Part 1; REFERENCES; Chapter 9. Experimental Designs: Part 2; REFERENCES; Chapter 10. Experimental Designs: Part 3; Chapter 11. Analytic Geometry: Part 1 - The Basics in Two and Three Dimensions; THE DISTANCE FORMULA

ROW VECTORS IN COLUMN SPACECOLUMN VECTORS IN ROW SPACE; PRINCIPAL COMPONENTS FOR REGRESSION VECTORS; RECOMMENDED READING; Chapter 15. Experimental Designs: Part 4 - Varying Parameters to Expand the Design; REFERENCES; Chapter 16. Experimental Designs: Part 5 - One-at-a-time Designs; REFERENCES; Chapter 17. Experimental Designs: Part 6 - Sequential Designs; REFERENCES; Chapter 18. Experimental Designs: Part 7 - ß, the Power of a Test; REFERENCES; Chapter 19. Experimental Designs: Part 8 - ß, the Power of a Test (Continued); REFERENCES

Chapter 20. Experimental Designs: Part 9 - Sequential Designs ConcludedREFERENCES; Chapter 21. Calculating the Solution for Regression Techniques: Part 1 - Multivariate Regression Made Simple; REFERENCES; Chapter 22. Calculating the Solution for Regression Techniques: Part 2 - Principal Component(s) Regression Made Simple; REFERENCES; Chapter 23. Calculating the Solution for Regression Techniques: Part 3 - Partial Least Squares Regression Made Simple; REFERENCES; Chapter 24. Looking Behind and Ahead: Interlude; Chapter 25. A Simple Question: The Meaning of Chemometrics Pondered; REFERENCES

Chapter 26. Calculating the Solution for Regression Techniques: Part 4 - Singular Value Decomposition

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-281-11911-3

9786611119119

0-08-054838-5

OCLC:

469629678