Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1179645 | Chemometrics and Intelligent Laboratory Systems | 2015 | 11 Pages |
Abstract
•A continuum standardization of the variables is introduced.•We discuss properties related to this standardization.•We investigate its effect on principal component analysis and PLS-regression.
A continuum standardization of the variables is proposed. It consists of dividing each variable by its standard deviation to the power α, where α is a scalar between 0 and 1. The non-standardized dataset and the standardized datasets appear as the two extreme points of this continuum and the Pareto standardization is its mid-point. Properties related to this standardization are discussed. Application to principal components analysis and PLS-regression is outlined and illustrated on the basis of real datasets.
Related Topics
Physical Sciences and Engineering
Chemistry
Analytical Chemistry
Authors
Angélina El Ghaziri, El Mostafa Qannari,