Testing equality of means in a bivariate normal population under possible presence of correlation coefficient

Abstract

In this paper, we have considered for testing the hypothesis H0: μ1 = μ2, in a bivariate normal population N(μ1,μ2,σ2,σ2,ρ{variant}) when it is suspected that correlation coefficient ρ{variant}, may be equal to zero. The expressions for the power and size have been obtained and recommendations regarding use or not of the proposed procedure have also been attempted. © 1990.