The Annals of Statistics

A Proof of the Conjecture that the Tukey-Kramer Multiple Comparisons Procedure is Conservative

Anthony J. Hayter

Full-text: Open access

Abstract

In this paper we present a first general proof of Tukey's (1953) conjecture concerning the extension of the Tukey multiple comparisons procedure to the case of unequal sample sizes, thereby proving that the so-called Tukey-Kramer procedure is conservative in all cases. Also a brief history of the conjecture is given and some extensions and further problems concerning the procedure are discussed.

Article information

Source
Ann. Statist., Volume 12, Number 1 (1984), 61-75.

Dates
First available in Project Euclid: 12 April 2007

Permanent link to this document
https://projecteuclid.org/euclid.aos/1176346392

Digital Object Identifier
doi:10.1214/aos/1176346392

Mathematical Reviews number (MathSciNet)
MR733499

Zentralblatt MATH identifier
0545.62047

JSTOR
links.jstor.org

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

Keywords
Multiple comparisons Tukey conjecture Tukey-Kramer procedure

Citation

Hayter, Anthony J. A Proof of the Conjecture that the Tukey-Kramer Multiple Comparisons Procedure is Conservative. Ann. Statist. 12 (1984), no. 1, 61--75. doi:10.1214/aos/1176346392. https://projecteuclid.org/euclid.aos/1176346392


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