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The likelihood ratio test is presented for testing the equality of two regression lines versus the ordered alternative that Line 1 lies above Line 2 on a prescribed finite interval of values of the independent variable. Homoscedastic normal errors are assumed. An application is discussed and data from it are used to illustrate the methodology. A table of exact critical values is presented for alpha = .01, .05 and .10 for various degrees of freedom. Power comparisons are made with competing tests.
Spurrier et al. (Wed,) studied this question.