The Annals of Statistics
- Ann. Statist.
- Volume 13, Number 4 (1985), 1535-1553.
Combining Independent One-Sided Noncentral $t$ or Normal Mean Tests
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.
Ann. Statist., Volume 13, Number 4 (1985), 1535-1553.
First available in Project Euclid: 12 April 2007
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Marden, John I. Combining Independent One-Sided Noncentral $t$ or Normal Mean Tests. Ann. Statist. 13 (1985), no. 4, 1535--1553. doi:10.1214/aos/1176349754. https://projecteuclid.org/euclid.aos/1176349754