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A region-based multiple testing method for hypotheses ordered in space or time

Meijer Rosa J. (), Krebs Thijmen J.P. and Goeman Jelle J.
Additional contact information
Meijer Rosa J.: Department of Medical Statistics and Bioinformatics, Leiden University Medical Center, Postzone S5-P, P.O. Box 9604, 2300 RC Leiden, The Netherlands
Krebs Thijmen J.P.: Faculty of Electrical Engineering, Mathematics and Information Technology, Delft University, P.O. Box 5031, 2600 GA Delft, The Netherlands
Goeman Jelle J.: Section Biostatistics, Department for Health Evidence, Radboud University Medical Center, Postzone 133, P.O. Box 9101, 6500 HB Nijmegen, The Netherlands

Statistical Applications in Genetics and Molecular Biology, 2015, vol. 14, issue 1, 1-19

Abstract: We present a multiple testing method for hypotheses that are ordered in space or time. Given such hypotheses, the elementary hypotheses as well as regions of consecutive hypotheses are of interest. These region hypotheses not only have intrinsic meaning but testing them also has the advantage that (potentially small) signals across a region are combined in one test. Because the expected number and length of potentially interesting regions are usually not available beforehand, we propose a method that tests all possible region hypotheses as well as all individual hypotheses in a single multiple testing procedure that controls the familywise error rate. We start at testing the global null-hypothesis and when this hypothesis can be rejected we continue with further specifying the exact location/locations of the effect present. The method is implemented in the R package cherry and is illustrated on a DNA copy number data set.

Keywords: familywise error rate; multiple testing; region hypotheses (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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DOI: 10.1515/sagmb-2013-0075

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