For obtaining the m.l.e. of $Sigma$ from p-variate Non-singular Normal parent, $N_p(mu, Sigma)$, Andersous" Procedure based on the invariance property of the m.l.e. seems to be generally Preferred in the view of its simplicity. This paper shows that his approach with respect to $Sigma^{-1}$ rather than $Sigma$ itself, he burther applicable to deriving the m.l.e. of parametersinvolved in the common factor model an dsimplex model as well.