Open Access
2010 Multiple testing along a tree
Werner Ehm, Jürgen Kornmeier, Sven P. Heinrich
Electron. J. Statist. 4: 461-471 (2010). DOI: 10.1214/09-EJS496


Suitable sequentially rejective multiple test procedures allow to “zoom in" on clusters of relevant variables in high-dimensional regression (Meinshausen [7]), or on regions of interest in some search space (Heinrich et al. [3]; Meinshausen et al. [8]). As a common framework for these schemes we propose to consider multiple testing along a tree of hypotheses together with a “keep rejecting until first acceptance" rule. Particular topics addressed in this note are control of the familywise error, and some variants and basic properties of the procedure.


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Werner Ehm. Jürgen Kornmeier. Sven P. Heinrich. "Multiple testing along a tree." Electron. J. Statist. 4 461 - 471, 2010.


Published: 2010
First available in Project Euclid: 25 May 2010

zbMATH: 1329.62212
MathSciNet: MR2657377
Digital Object Identifier: 10.1214/09-EJS496

Primary: 62G10 , 62J15 , 62L99

Keywords: (nested) multiple testing , Conquer and Divide , event-related potentials , familywise error , tree of hypotheses

Rights: Copyright © 2010 The Institute of Mathematical Statistics and the Bernoulli Society

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