Premium
General Solutions to Multiple Testing Problems
Author(s) -
Sonnemann Eckart
Publication year - 2008
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.200810462
Subject(s) - connection (principal bundle) , mathematics , closure (psychology) , multiple comparisons problem , general theory , statistics , mathematical economics , computer science , calculus (dental) , medicine , economics , market economy , geometry , dentistry
The introduction of sequentially rejective multiple test procedures (Einot and Gabriel, 1975; Naik, 1975; Holm, 1977; Holm, 1979) has caused considerable progress in the theory of multiple comparisons. Emphasizing the closure of multiple tests we give a survey of the general theory and its recent results in applications. Some new applications are given including a discussion of the connection with the theory of confidence regions. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)