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

Joint Tests for Zero Restrictions on Nonnegative Regression Coefficients