A Conditional Test for a Non-negative Mean Vector Based on a HotellingʹsT2-Type Statistic

A conditional test based on a HotellingʹsT2-type statistic is derived for significance of a multivariate mean having non-negative components. This test is shown to be uniformly more powerful than the unconditional test given by Silvapulle. The consistency and invariance of the new test are also established