In the medical sciences as well as in other contexts we often have to deal with the study of groups and with the research of their separation. The aim of this paper is to highlight how, in some situations, Partial Least Squares (PLS) Discriminant Analysis (Sjostrom et al., 1986) can lead to a solution that is not an answer to the given problem of discrimination. Within a PLS framework, the authors provide two extensions of it. The first is close to the Generalized PLS proposed by Cazes (1997) but used in the discrimination context. The second proposal, in the same framework, leads to consider the PLS Redundancy Analysis proposed by Tenenhaus (1995) by using suitable metrics. Some examples of data treatment are given.
Two approaches for Discriminant Partial Least Squares
AMENTA P.
2003-01-01
Abstract
In the medical sciences as well as in other contexts we often have to deal with the study of groups and with the research of their separation. The aim of this paper is to highlight how, in some situations, Partial Least Squares (PLS) Discriminant Analysis (Sjostrom et al., 1986) can lead to a solution that is not an answer to the given problem of discrimination. Within a PLS framework, the authors provide two extensions of it. The first is close to the Generalized PLS proposed by Cazes (1997) but used in the discrimination context. The second proposal, in the same framework, leads to consider the PLS Redundancy Analysis proposed by Tenenhaus (1995) by using suitable metrics. Some examples of data treatment are given.| File | Dimensione | Formato | |
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