### Preliminary tests in linear discriminant analysis

A. Bar-Hen
Let us consider k populations having p-variate normal distributions with a cammon variance-convariance matrix where the parameters are known. Let X denote the vector of observations on an axperimental unit, of which the origin is uncertain. The problem of allocating X to one of the k given populations is fundamental in multivariate analysis. In many applications , it is also interesting to determine whether X is related to a new population or not. This paper...