Influence Analysis on Discriminant Coordinates

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 handl...

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Bibliographic Details
Published in:Communications in statistics. Simulation and computation 2011-07, Vol.40 (6), p.793-807
Main Authors: Muñoz-Pichardo, J. M., Enguix-González, A., Muñoz-García, J., Moreno-Rebollo, J. L.
Format: Article
Language:English
Subjects:
Centroids
Combinatorics
Combinatorics. Ordered structures
Computation
Deletion approach
Designs and configurations
Direct current
Discriminant analysis
Discriminant coordinates
Exact sciences and technology
Influence analysis
Mathematical models
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in probability and statistics
Perturbation methods
Samples
Sciences and techniques of general use
Software packages
Statistics
Transformations
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Summary: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.
ISSN:0361-0918
1532-4141
DOI:10.1080/03610918.2011.556288