Journal ArticleDOI
General Solutions to Multiple Testing Problems
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TLDR
A survey of the general theory of multiple comparisons and its recent results in applications is given,phasizing the closure of multiple tests.Abstract:
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.read more
Citations
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Multiple Comparisons Using R
TL;DR: In this article, the multcomp package is used for multiple comparisons with a control and all pairwise comparisons with the same pairwise comparison, under the assumption of heteroscedasticity.
Journal ArticleDOI
MATS: Inference for potentially Singular and Heteroscedastic MANOVA
Sarah Friedrich,Markus Pauly +1 more
TL;DR: The proposed test statistic is modified and extended to factorial MANOVA designs, incorporating general heteroscedastic models, and the only distributional assumption is the existence of the group-wise covariance matrices, which may even be singular.
Journal ArticleDOI
The reliability and validity of radiographic measurements for determining the three-dimensional position of the talus in varus and valgus osteoarthritic ankles
TL;DR: The frontal tibiotalar surface angle, sagittal talocalcaneal inclination angle, and horizontal talometatarsal I angle accurately determine talar three-dimensional radiographic position in weight-bearing varus and valgus osteoarthritic ankles.
Journal ArticleDOI
The Monday effect revisited: An alternative testing approach
TL;DR: In this article, the authors proposed an alternative, multiple hypothesis testing approach based on the closure test principle which controls the multiple type I error, and compared the traditional multiple t -test and the Bonferroni test, a classical multiple test procedure.
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Three-sided hypothesis testing: simultaneous testing of superiority, equivalence and inferiority.
TL;DR: Three-sided testing is proposed, a testing framework for simultaneous testing of inferiority, equivalence and superiority in clinical trials, controlling for multiple testing using the partitioning principle, and shows that it is sometimes possible to make an inference on the sign of the parameter of interest.
References
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Journal ArticleDOI
A Simple Sequentially Rejective Multiple Test Procedure
TL;DR: In this paper, a simple and widely accepted multiple test procedure of the sequentially rejective type is presented, i.e. hypotheses are rejected one at a time until no further rejections can be done.
Book
Simultaneous Statistical Inference
TL;DR: In this article, the authors presented a case of two means regression method for the family error rate, which was used to estimate the probability of a family having a nonzero family error.