Combining Independent One-Sided Noncentral $t$ or Normal Mean Tests
Marden, John I.
Ann. Statist., Tome 13 (1985) no. 1, p. 1535-1553 / Harvested from Project Euclid
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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.
Publié le : 1985-12-14
Classification:  Hypothesis tests,  generalized Bayes tests,  normal variables,  noncentral $t$ variables,  admissibility,  complete class,  significance levels,  combination procedures,  62C07,  62C15,  62H15,  62C10 
@article{1176349754,
     author = {Marden, John I.},
     title = {Combining Independent One-Sided Noncentral $t$ or Normal Mean Tests},
     journal = {Ann. Statist.},
     volume = {13},
     number = {1},
     year = {1985},
     pages = { 1535-1553},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1176349754}
}

Marden, John I. Combining Independent One-Sided Noncentral $t$ or Normal Mean Tests. Ann. Statist., Tome 13 (1985) no. 1, pp.  1535-1553. http://gdmltest.u-ga.fr/item/1176349754/