Chemometrics I -- PCA

Course Description

Chemometrics I -- PCA, concentrates on what is perhaps the most important chemometric method, Principal Components Analysis. PCA can be used for exploratory data analysis, pattern recognition, data prescreening, and is part of many other methods such as SIMCA sample classification. It is also used for preprocessing and data compression in a wide variety of applications such as SVMs ANNs. This course covers the basics of PCA in depth, concentrating on interpretation of PCA models. The course includes hands-on computer time for participants to work example problems using PLS_Toolbox.

Prerequisites

Linear Algebra for Chemometricians and MATLAB for Chemometricians or equivalent experience.

Course Outline

1. Nomenclature and conventions
   
2. Data transformation-Linearization
   
3. Data centering and scaling
   
4. The PCA decomposition
   
5. Examples: Wine and Arch data sets
   
6. Interpreting scores and loadings plots
   
7. Q and T2 statistics
   
8. Outliers
   
9. Determination of number of factors to keep
   
10. Additional examples and homework