2000•Communication in Statistics- Theory and MethodsRequires access
Influence analysis in multivariate linear general models
Juan Manuel Muñoz Pichardo, Joaquín Muñoz García, José María Fernández Ponce, M.D. Jiménez Garnero
Open publisher page 8 citations
Abstract
In this paper we obtain several influence measures for the multivariate linear general model through the approach proposed by Muñoz-Pichardo et al. (1995), which is based on the concept of conditional bias. An interesting charasteristic of this approach is that it does not require any distributional hypothesis. Appling the obtained results to the multivariate regression model, we obtain some measures proposed by other authors. Nevertheless, on the results obtained in this paper, we emphasize two aspects. First, they provide a theoretical foundation for measures proposed by other authors for the mul¬tivariate regression model. Second, they can be applied to any linear model that can be formulated as a particular case of the multivariate linear general model. In particular, we carry out an application to the multivariate analysis of covariance.