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December, 1985 Combining Independent One-Sided Noncentral $t$ or Normal Mean Tests
John I. Marden
Ann. Statist. 13(4): 1535-1553 (December, 1985). DOI: 10.1214/aos/1176349754

Abstract

The admissibility of inadmissibility of procedures for combining several one-sided tests of significance into one overall test when the individual tests are based on independent normal or noncentral $t$ variables is considered. Minimal complete classes are found, from which the following results (with some exceptions) are obtained. The likelihood ratio tests and Tippett's procedure are admissible in both cases, the inverse logistic and sum of significance levels procedures are inadmissible in both cases, and Fisher's and the inverse normal procedure are admissible in the normal case but inadmissible in the $t$ case.

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John I. Marden. "Combining Independent One-Sided Noncentral $t$ or Normal Mean Tests." Ann. Statist. 13 (4) 1535 - 1553, December, 1985. https://doi.org/10.1214/aos/1176349754

Information

Published: December, 1985
First available in Project Euclid: 12 April 2007

zbMATH: 0588.62011
MathSciNet: MR811509
Digital Object Identifier: 10.1214/aos/1176349754

Subjects:
Primary: 62C07
Secondary: 62C10, 62C15, 62H15

Rights: Copyright © 1985 Institute of Mathematical Statistics

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Vol.13 • No. 4 • December, 1985
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