Influence analysis on discriminant coordinates

Juan M. Muñoz-Pichardo (1) , Alicia Enguix-Gonzalez (2) , Joaquin Muñoz García (3) , Juan Luis Moreno-Rebollo (2)

1 Estadistica e I.O.
2 Estadistica e I.O.
3 Universidad de Sevilla = University of Seville

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

Mots clés: Physical Sciences

Domaines: Calcul [stat.CO]

Juan M. Muñoz-Pichardo, Alicia Enguix-Gonzalez, Joaquin Muñoz García, Juan Luis Moreno-Rebollo. Influence analysis on discriminant coordinates. Communications in Statistics - Simulation and Computation, 2011, 40 (06), pp.793-807. ⟨10.1080/03610918.2011.556288⟩. ⟨hal-00680016⟩