# Convex hierarchical testing of interactions

@article{Bien2015ConvexHT,
title={Convex hierarchical testing of interactions},
author={Jacob Bien and Noah Simon and Robert Tibshirani},
journal={The Annals of Applied Statistics},
year={2015},
volume={9},
pages={27-42}
}
• Published 6 November 2012
• Computer Science
• The Annals of Applied Statistics
We consider the testing of all pairwise interactions in a two-class problem with many features. We devise a hierarchical testing framework that considers an interaction only when one or more of its constituent features has a nonzero main effect. The test is based on a convex optimization framework that seamlessly considers main effects and interactions together. We show—both in simulation and on a genomic dataset from the SAPPHIRe study—a potential gain in power and interpretability over a…

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