Expanded confidence intervals, one-sided tests, and equivalence testing.
An argument, based on expanded confidence intervals, is given for always performing one-sided tests. However, if goals are not one-sided and "follow-up" inferences are required, then the usual two-sided confidence intervals (corresponding to two-sided tests) are generally appropriate. When equivalence testing is required (the goal being to show that treatments are "not too different"), expanded confidence intervals are more efficient than Westlake's symmetrical confidence intervals.
Bofinger
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Department of Mathematics, Statistics, and Computing Science, University of New England, Armidale, N.S.W., Australia.
D016001:Confidence Intervals; D013810:Therapeutic Equivalency