Influence Analysis on Discriminant Coordinates

Abstract

Discriminant analysis (DA), particularly Discriminant Coordinates (DC), is broadly applied in the scientific literature and included in many statistical software packages. DC is used to analyze biomedical data, especially for differential diagnosis on the basis of laboratory profiles. Articles handling influence analysis in DA can be found in the literature; however, this topic has been scarcely touched upon in DC. In this article, the case-deletion approach is followed to introduce a perturbation in the data and influence measures are proposed to assess the effect on three statistics of interest: the transformation matrix, canonical directions, and configuration, of the sample centroids.

Keywords:

• Deletion approach
• Discriminant coordinates
• Influence analysis

Mathematics Subject Classification:

• 62H30
• 62H99

Acknowledgments

This article was partly supported by the Project MTM2008-00018 (National Plan 2008, Ministry of Science and Technology, Spain).

Notes

(**) High influence; (*) moderate influence.

First line: mean ± S.D. Second line: (median, standardized MAD)