A Multiple Comparison Procedure for Classifying all Pairs Out ofkMeans as Close or Distant
- 1 December 1975
- journal article
- theory and-method
- Published by Taylor & Francis in Journal of the American Statistical Association
- Vol. 70 (352) , 832-838
- https://doi.org/10.1080/01621459.1975.10480310
Abstract
A procedure, using the indifference zone formulation, for making simultaneous pairwise inferences about k means is presented. This procedure has the advantage of offering protection against both Type I and Type II errors. To determine a sample size large enough to afford this protection, least favorable configurations must be determined. This is done in the two- and three-population cases. Tables for the practical application of the procedure to two, three or four means are provided and a method for extending the tables to higher numbers of means is given.Keywords
This publication has 6 references indexed in Scilit:
- An Introduction to Ranking and Selection ProceduresJournal of the American Statistical Association, 1966
- Probability Integrals of Multivariate Normal and Multivariate $t^1$The Annals of Mathematical Statistics, 1963
- The Integral of a Symmetric Unimodal Function over a Symmetric Convex Set and Some Probability InequalitiesProceedings of the American Mathematical Society, 1955
- A Single-Sample Multiple Decision Procedure for Ranking Variances of Normal PopulationsThe Annals of Mathematical Statistics, 1954
- A Single-Sample Multiple Decision Procedure for Ranking Means of Normal Populations with known VariancesThe Annals of Mathematical Statistics, 1954
- The bivariate normal integralBiometrika, 1951