Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 553-569 |
| Seitenumfang | 17 |
| Fachzeitschrift | Biometrical journal |
| Jahrgang | 43 |
| Ausgabenummer | 5 |
| Publikationsstatus | Veröffentlicht - 28 Aug. 2001 |
Abstract
A general nonparametric approach to asymptotic multiple test procedures is proposed which is based on relative effects and which includes continuous as well as discontinuous distributions. The results can be applied to all relevant multiple testing problems in the one-way layout and include the well known Steel tests as special cases. Moreover, a general estimator for the asymptotic covariance matrix is considered that is consistent even under alternative. This estimator is used to derive simultaneous confidence intervals for the relative effects as well as a test procedure for the multiple nonparametric Behrens-Fisher problem.
ASJC Scopus Sachgebiete
- Mathematik (insg.)
- Statistik und Wahrscheinlichkeit
- Entscheidungswissenschaften (insg.)
- Statistik, Wahrscheinlichkeit und Ungewissheit
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in: Biometrical journal, Jahrgang 43, Nr. 5, 28.08.2001, S. 553-569.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - A unified approach to simultaneous rank test procedures in the unbalanced one-way layout
AU - Munzel, Ullrich
AU - Hothorn, Ludwig A.
PY - 2001/8/28
Y1 - 2001/8/28
N2 - A general nonparametric approach to asymptotic multiple test procedures is proposed which is based on relative effects and which includes continuous as well as discontinuous distributions. The results can be applied to all relevant multiple testing problems in the one-way layout and include the well known Steel tests as special cases. Moreover, a general estimator for the asymptotic covariance matrix is considered that is consistent even under alternative. This estimator is used to derive simultaneous confidence intervals for the relative effects as well as a test procedure for the multiple nonparametric Behrens-Fisher problem.
AB - A general nonparametric approach to asymptotic multiple test procedures is proposed which is based on relative effects and which includes continuous as well as discontinuous distributions. The results can be applied to all relevant multiple testing problems in the one-way layout and include the well known Steel tests as special cases. Moreover, a general estimator for the asymptotic covariance matrix is considered that is consistent even under alternative. This estimator is used to derive simultaneous confidence intervals for the relative effects as well as a test procedure for the multiple nonparametric Behrens-Fisher problem.
KW - Behrens-Fisher problem
KW - Multiple test procedure
KW - Nonparametric
KW - Simultaneous confidence intervals
KW - Ties
UR - http://www.scopus.com/inward/record.url?scp=0040968778&partnerID=8YFLogxK
U2 - 10.1002/1521-4036(200109)43:5<553::AID-BIMJ553>3.0.CO;2-N
DO - 10.1002/1521-4036(200109)43:5<553::AID-BIMJ553>3.0.CO;2-N
M3 - Article
AN - SCOPUS:0040968778
VL - 43
SP - 553
EP - 569
JO - Biometrical journal
JF - Biometrical journal
SN - 0323-3847
IS - 5
ER -