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A general framework for multiple testing dependence

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Leek, Jeffrey T., Storey, John D.·2008·Proceedings of the National Academy of Sciences

Abstract

We develop a general framework for performing large-scale significance testing in the presence of arbitrarily strong dependence. We derive a low-dimensional set of random vectors, called a dependence kernel, that fully captures the dependence structure in an observed high-dimensional dataset. This result shows a surprising reversal of the “curse of dimensionality” in the high-dimensional hypothesis testing setting. We show theoretically that conditioning on a dependence kernel is sufficient to render statistical tests independent regardless of the level of dependence in the observed data. This framework for multiple testing dependence has implications in a variety of common multiple testing problems, such as in gene expression studies, brain imaging, and spatial epidemiology.

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Metadata

Authors
Leek, J. T., & Storey, J. D.
Venue
Proceedings of the National Academy of Sciences
Published
2008-12-02
Volume
105
Issue
48
Pages
18718-18723
ISSN
  • 0027-8424 (ISSN-L)
  • 1091-6490
OpenAlex
W2024103316
Cited by
374
References
6
FWCI
14.59
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: A general framework for multiple testing dependence. https://app.cochat.ai/papers/10.1073/pnas.0808709105
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Leek, J. T., & Storey, J. D. (2008). A general framework for multiple testing dependence. Proceedings of the National Academy of Sciences. https://doi.org/10.1073/pnas.0808709105

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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.