PLS_Toolbox 4.0 Manual PLS Toolbox EVR
User Manual:
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- PLS_Toolbox 4.0 Manual
- Software License Agreement
- Table of Contents
- 1. Introduction
- 2. Getting Started with MATLAB and PLS_Toolbox
- 3. An Introduction to Linear Algebra
- Scalars, Vectors and Matrices
- Vector and Matrix Addition and Multiplication
- Orthogonal and Orthonormal Vectors
- Special Matrices
- Gaussian Elimination: Solving Systems of Equations
- Singular Matrices and the Concept of Rank
- Matrix Inverses
- Vector Spaces and Subspaces
- Linear Independence and Basis Sets
- Row Spaces, Column Spaces and Nullspaces
- Orthogonality of Subspaces
- Projections onto Lines
- Projections onto Subspaces and Least Squares
- Ill-conditioned Problems
- Projection Matrices
- Orthogonal and Orthonormal Bases
- Pseudoinverses
- The Singular Value Decomposition
- Conclusion
- 4. Preface to the Tutorial Chapters
- 5. Principal Components Analysis
- Statistics Associated with PCA Models
- A Word About Centering and Scaling
- PCA Example I: The Wine Data Set
- PCA Example II: Application to a Chemical Process
- Choosing the Number of Factors in a PCA Model
- Viewing and Interpreting the Model
- Multivariate Statistical Process Control
- MSPC Example
- PCA Summary
- Multi-Way PCA
- Example of MPCA
- 6. Multivariate Regression
- 7. Advanced Preprocessing
- 8. Classification
- 9. Curve Resolution and Mixture Analysis
- 10. Multi-way Methods
- 11. Variable Selection
- 12. Instrument Standardization
- 13. Robust Statistical Methods
- Preface
- Introduction
- Robust estimation of the covariance matrix
- Example of MCD Method with Body and Brain Weight Data Set
- Robust linear regression
- Example of Robust Regression with Stars data set
- Robust Principal Component Analysis
- Example of Robust PCA with Octane data
- Robust Regression for high-dimensional data
- Robust Principal Component Regression
- Robust Partial Least Squares Regression
- 14. Distribution Fitting Tools
- 15. Returning Users – New Features and Release Notes
- 16. Advanced Software Information
- 17. Bibliography