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Influence analysis on discriminant coordinates


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Author: Muñoz Pichardo, Juan Manuel
Enguix González, Alicia
Muñoz García, Joaquín
Moreno Rebollo, Juan Luis
Department: Universidad de Sevilla. Departamento de Estadística e Investigación Operativa
Date: 2011
Published in: Communications in Statistics - Simulation and Computation, 40 (6), 793-807.
Document type: Article
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. Papers handling influence analysis in DA can be found in the literature; however this topic has been scarcely touched upon in DC. In this paper 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.
Cite: Muñoz Pichardo, J.M., Enguix González, A., Muñoz García, J. y Moreno Rebollo, J.L. (2011). Influence analysis on discriminant coordinates. Communications in Statistics - Simulation and Computation, 40 (6), 793-807.
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DOI: 10.1080/03610918.2011.556288

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