Chemometrics in spectroscopy /

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Mark, Howard (Autor), Workman, Jerry (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam : Academic Press, 2021.
Edición:Second edition.
Temas:
Spectrum analysis > Statistical methods.
Chemometrics.
Chimiom�etrie.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Intro
  • Chemometrics in Spectroscopy: Revised Second Edition
  • Copyright
  • Dedication
  • Contents
  • Preface to the First Edition
  • Preface to the Second Edition
  • The Book Companion
  • Chapter 1: A New Beginning *
  • Multivariate Normal Distribution
  • Matrix Operations
  • References
  • Further Reading
  • Section 1: Elementary Matrix Algebra
  • Chapter 2: Elementary Matrix Algebra: Part 1-Primitive operations: Addition, Subtraction, Multiplication, Division, Inver ...
  • Matrix Operations
  • Matrix Addition
  • Subtraction
  • Matrix Multiplication
  • Matrix Division
  • Inverse of a Matrix
  • Transpose of a Matrix
  • Elementary Operations for Linear Equations
  • The Solution
  • Summary
  • References
  • Chapter 3: Elementary Matrix Algebra: Part 2-Elementary Operations, Inverse of a Matrix
  • Elementary Matrix Operations
  • Calculating the Inverse of a Matrix
  • Summary
  • References
  • Section 2: Matrix Algebra and Multiple Linear Regression
  • Chapter 4: Matrix Algebra and Multiple Linear Regression: Part 1-Quasi-Algebraic Operations, Multiple Linear Regression, ...
  • Quasialgebraic Operations
  • Multiple Linear Regression
  • The Least Squares Method
  • References
  • Chapter 5: Matrix Algebra and Multiple Linear Regression: Part 2-When There Are More Equations Than Unknowns, The Power o ...
  • 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, and A Word of Caution
  • A Word of Caution
  • Reference
  • Section 3: Experimental Designs
  • Chapter 8: Experimental Designs, Part 1: Introduction
  • References
  • Chapter 9: Experimental Designs, Part 2: One-Way ANOVA*
  • References
  • Chapter 10: Experimental Designs, Part 3: Two-Factor Designs*.
  • Chapter 24: Calculating the Solution for Regression Techniques: Part 4-Singular Value Decomposition
  • References
  • Chapter 25: Interlude: Looking Behind and Ahead*
  • Reference
  • Chapter 26: A Simple Question*
  • References
  • Chapter 27: Challenges: Unsolved Problems in Chemometrics*
  • So What Are These Problems?
  • Section 6: Linearity in Calibration
  • Chapter 28: Linearity in Calibration- Act I-A Thought Experiment Carried Out by Computer Simulation*
  • Chapter 29: Linearity in Calibration-Act II Scene I-A Firestorm Erupts and A Theoretical Explanation of Linearity
  • References
  • Chapter 30: Linearity in Calibration-Act II Scene II-Details of Reader Responses*
  • Reference
  • Chapter 31: Linearity in Calibration-Act II Scene III-Summary of Reader Responses, and Our Commentary on Those Resp
  • References
  • Chapter 32: Linearity in Calibration-Act II Scene IV-A Summary of Findings and Recommendations for Future Explorations&amp
  • z
  • References
  • Chapter 33: Linearity in Calibration-Act II Scene V-Effect of (Non) Linearity on PLS Algorithm*
  • References
  • Section 7: Collaborative Laboratory Studies
  • Chapter 34: Collaborative Laboratory Studies: Part 1-A Blueprint
  • Experimental Design
  • Analytical Methods
  • Sample Collection and Handling
  • Method A and B Analysis
  • Results and Data Analysis
  • Comparing All Laboratories and All Methods for Precision and Accuracy
  • References
  • Chapter 35: Collaborative Laboratory Studies: Part 2-Using ANOVA
  • ANOVA Test Comparisons for Laboratories and Methods (ANOVA_s4 Worksheet)
  • ANOVA Test Comparisons (Using ANOVA_s2 Worksheet)
  • References
  • Chapter 36: Collaborative Laboratory Studies: Part 3-Testing for Systematic Error
  • Testing for Systematic Error in a Method: Comparison Test for a Set of Measurements Versus True Value-Spiked Recovery Metho ...
  • References.
  • Chapter 47: Analysis of Noise-Part 8-Effect of Noise on the Computed Transmittance, Analysis of Uniformly Distribu
  • Effect of Noise on Computed Transmittance
  • Computed Transmittance Noise
  • Reference
  • Chapter 48: Analysis of Noise-Part 9-Analysis of Poisson-Distributed Noise, Effects on Transmittance and Absorbanc
  • References
  • Chapter 49: Analysis of Noise-Part 10-Analysis of Poisson-Distributed Noise, Effects on Relative Absorbance*
  • Reference
  • Chapter 50: Analysis of Noise-Part 11-Analysis of Poisson-Distributed Noise, When the Noise Is Not Small Compare
  • Discussion
  • Reference
  • Chapter 51: Analysis of Noise-Part 12-Analysis of Poisson-Distributed Noise: Computation of the Transmittance No
  • Chapter 52: Analysis of Noise-Part 13-Analysis of Poisson-Distributed Noise: Computation of the Absorbance Noise
  • References
  • Chapter 53: Analysis of Noise-Part 14-Analysis of Noise Proportional to the Signal, Small-Noise Case*
  • Reference
  • Chapter 54: Analysis of Noise-Part 15-Analysis of Noise Proportional to the Signal, Large-Noise Case*
  • Preliminary Steps
  • Evaluation of the Function
  • Noise
  • Reference
  • Section 9: Derivatives
  • Chapter 55: Derivatives in Spectroscopy: Part 1-The Behavior of the Theoretical Derivative*
  • The Behavior of Theoretical Derivatives
  • The Behavior of Computed Derivatives
  • References
  • Chapter 56: Derivatives in Spectroscopy: Part 2-The ``True�� Derivative*
  • Better Derivative Approximations
  • References
  • Chapter 57: Derivatives in Spectroscopy: Part 3-Computing the Derivative (the Savitzky-Golay Method)*
  • Methods of Computing the Derivative
  • Limitations of the Savitzky-Golay Method
  • Extensions to the Savitzky-Golay Method
  • References
  • Chapter 58: Derivatives in Spectroscopy: Part 4-Calibrating With Derivatives*
  • References.

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