The Construction of Upper Confidence Bounds on the Range of Several Location Parameters

Abstract
This article considers the construction of an upper confidence bound on the range of a set of k location parameters, such as the k treatment effects in a one-way layout. This confidence bound will be useful to the experimenter in assessing the “equivalence” of the location parameters. Some general theoretical results are presented and the case of normally distributed data is considered in detail, with accompanying tables of confidence bounds. Some examples of the application of this new inference method are given.

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