The Annals of Statistics

The Power Function of the Studentised Range Test

A. J. Hayter and W. Liu

Full-text: Open access

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.

Article information

Source
Ann. Statist., Volume 18, Number 1 (1990), 465-468.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176347512

Digital Object Identifier
doi:10.1214/aos/1176347512

Mathematical Reviews number (MathSciNet)
MR1041405

Zentralblatt MATH identifier
0699.62069

JSTOR
links.jstor.org

Subjects
Primary: 62J15: Paired and multiple comparisons
Secondary: 62J10: Analysis of variance and covariance

Keywords
Multiple comparisons analysis of variance Studentised range power function least favourable configuration

Citation

Hayter, A. J.; Liu, W. The Power Function of the Studentised Range Test. Ann. Statist. 18 (1990), no. 1, 465--468. doi:10.1214/aos/1176347512. https://projecteuclid.org/euclid.aos/1176347512


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