On the Power of Tests for Multiple Comparison of Three Normal Means
- 1 September 1990
- journal article
- research article
- Published by JSTOR in Journal of the American Statistical Association
- Vol. 85 (411) , 808
- https://doi.org/10.2307/2290019
Abstract
This article gives theoretical reasons for the findings of a simulation study by Shaffer (1981). Two well-established procedures for multiple comparison of three normal means are compared—an F procedure and an R procedure. It turns out that for a large set of parameters the average number of rejected pairwise hypotheses is larger when the F procedure is applied. To achieve our result we have to prove a special instance of a conjecture by David, Lachenbruch, and Brandis (1972).Keywords
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