Joint tests for zero restrictions on nonnegative regression coefficients

Three tests for zero restrictions on regression coefficients that are known to be nonnegative considered: the classical F test, the likelihood ratio test, and a one-sided t test a particular direction. Critical values for the likelihood ratio test are given for the of two and three restrictions, and the power function is calculated for the case of restrictions. The analysis is conducted in terms of a characterization of the clas similar tests for the problem, of which each of the above tests is a member. The ratio test emerges as the preferred test.