Several methods have been suggested, in the literature, to detect influential observations from the data fitting usual linear model y=X***+***, ***∽N(0, ***2I). Recently, Chatterjee & Hadi (1986) have reviewed most of these available methods and described the inter-relationships between them. In this article, we extend some of these methods to the case of multivariate regression data. We consider several data sets to illustrate the methods.