Title of article :
On the Power Function of the Likelihood Ratio Test for MANOVA
Author/Authors :
Bhaumik، نويسنده , , Dulal Kumar and Sarka، نويسنده , , Sanat K.، نويسنده ,
Issue Information :
دوفصلنامه با شماره پیاپی سال 2002
Abstract :
We prove that the power function of the likelihood ratio test for MANOVA attains its minimum when the rank of the location parameter matrix Θ decreases from s to 1. This provides a theoretical justification of a result that is known in the literature based only on numerical studies.
Keywords :
Wishart distribution , zonal polynomial , product of beta variates , maximal invariant
Journal title :
Journal of Multivariate Analysis
Journal title :
Journal of Multivariate Analysis
