A lower confidence bound is obtained for Pr(Y > X|z 1, z 2), where X and Y are independent normal variables, with explanatory variables z 1 and z 2, respectively. For equal residual variances, an exact solution is obtained, but for the unequal variance case, an approximate lower confidence bound is developed. Examples of the use of these procedures are given.
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Guttman et al. (1988) studied this question.
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