title: A group sequential procedure for all-pairwise comparisons of k treatments based on the range statistic.
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.
authors.affiliation: Department of Mathematics, University of Southampton, England.
authors.forename: W
authors.initials: W
authors.lastname: Liu
mesh_terms: D001699:Biometry; D002986:Clinical Trials as Topic / Q000379:methods*; D006801:Humans; D008433:Mathematics; D015233:Models, Statistical; D012016:Reference Values