Open Access
March, 1990 The Power Function of the Studentised Range Test
A. J. Hayter, W. Liu
Ann. Statist. 18(1): 465-468 (March, 1990). DOI: 10.1214/aos/1176347512

Abstract

In this paper we investigate the power function of the Studentised range test for comparing the means of normal populations in the one-way fixed effects analysis of variance model. The main results provide rigorous proofs of certain least favourable configurations of population means. These results are important in the calculation of the sample sizes required to guarantee power levels under certain restrictions on the ranges of the population means.

Citation

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A. J. Hayter. W. Liu. "The Power Function of the Studentised Range Test." Ann. Statist. 18 (1) 465 - 468, March, 1990. https://doi.org/10.1214/aos/1176347512

Information

Published: March, 1990
First available in Project Euclid: 12 April 2007

zbMATH: 0699.62069
MathSciNet: MR1041405
Digital Object Identifier: 10.1214/aos/1176347512

Subjects:
Primary: 62J15
Secondary: 62J10

Keywords: Analysis of variance , least favourable configuration , Multiple comparisons , power function , Studentised range

Rights: Copyright © 1990 Institute of Mathematical Statistics

Vol.18 • No. 1 • March, 1990
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