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Titolo:
1-alpha equivariant confidence rules for convex alternatives are alpha/2-level tests - With applications to the multivariate assessment of bioequivalence
Autore:
Munk, A; Pfluger, R;
Indirizzi:
Ruhr Univ Bochum, Fak Math, D-44780 Bochum, Germany Ruhr Univ Bochum Bochum Germany D-44780 ak Math, D-44780 Bochum, Germany Univ Gottingen, Abt Med Stat, D-37073 Gottingen, Germany Univ Gottingen Gottingen Germany D-37073 tat, D-37073 Gottingen, Germany
Titolo Testata:
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
fascicolo: 448, volume: 94, anno: 1999,
pagine: 1311 - 1319
Fonte:
ISI
Lingua:
ENG
Soggetto:
TEMPORALIS MUSCLE-ACTIVITY; INTERSECTION-UNION TESTS; EXTEROCEPTIVE SUPPRESSION; EQUIVALENCE; SETS; HYPOTHESIS; TRIALS;
Keywords:
confidence inclusion rules; convex hypotheses; equivalence; equivariance; Hotelling's T-2 test; multivariate bioequivalence;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
35
Recensione:
Indirizzi per estratti:
Indirizzo: Munk, A Ruhr Univ Bochum, Fak Math, D-44780 Bochum, Germany Ruhr Univ Bochum Bochum Germany D-44780 D-44780 Bochum, Germany
Citazione:
A. Munk e R. Pfluger, "1-alpha equivariant confidence rules for convex alternatives are alpha/2-level tests - With applications to the multivariate assessment of bioequivalence", J AM STAT A, 94(448), 1999, pp. 1311-1319

Abstract

In general, a 1 - alpha confidence region C(X) for a parameter theta epsilon - yields a test at level alpha for H: theta epsilon -(H) versus K: thetaepsilon -(C)(H) whenever we reject if C(X) boolean AND -(H) = 0. We show under certain equivariance properties of C(X) that for the case of convex alternatives, 0(H)(C), the level of the resulting test is in fact alpha/2. This extends recent findings for hyperrectangular alternatives as they occur in the multivariate bioequivalence problem. Furthermore, we apply the suggested test to ellipsoid-type alternatives instead of hyperrectangulars in the multivariate bioequivalence problem and to a problem occurring in neurophysiology. Finally, we compare our:test numerically with existing methods.

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Documento generato il 28/11/20 alle ore 20:48:31