A group sequential procedure for all-pairwise comparisons of k treatments based on the range statistic
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Updated: Nov 9, 2026

A Standardized Protocol for Preference Testing to Assess Fish Welfare
Published on: February 22, 2020
1Department of Mathematics, University of Southampton, England.
Abstract:
In this paper, a group sequential procedure for all-private comparisons of the means of k independent normal populations with a common known variance is proposed. A repeated range test is defined and its critical points are tabulated. The power function is studied and minimum group size needed to achieve a desirable power level is provided. The test can also be converted into a set of repeated simultaneous confidence intervals from which all-pairwise comparisons can be made. An example of the application of this new interference method is given.
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