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Global test for high-dimensional mediation: Testing groups of potential mediators |
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| Authors: | Vera Djordjilović Christian M. Page Jon Michael Gran Therese H. Nøst Torkjel M. Sandanger Marit B. Veierød Magne Thoresen |
| Affiliation: | 1. Oslo Centre for Biostatistics and Epidemiology, Department of Biostatistics, University of Oslo, Oslo, Norway;2. Oslo Centre for Biostatistics and Epidemiology, Oslo University Hospital, Oslo, Norway Center for Fertility and Health, Division of Mental and Physical Health, Norwegian Institute of Public Health, Oslo, Norway;3. Oslo Centre for Biostatistics and Epidemiology, Department of Biostatistics, University of Oslo, Oslo, Norway Oslo Centre for Biostatistics and Epidemiology, Oslo University Hospital, Oslo, Norway;4. Department of Community Medicine, The Arctic University of Norway, Tromsø, Norway |
| Abstract: | We address the problem of testing whether a possibly high-dimensional vector may act as a mediator between some exposure variable and the outcome of interest. We propose a global test for mediation, which combines a global test with the intersection-union principle. We discuss theoretical properties of our approach and conduct simulation studies that demonstrate that it performs equally well or better than its competitor. We also propose a multiple testing procedure, ScreenMin, that provides asymptotic control of either familywise error rate or false discovery rate when multiple groups of potential mediators are tested simultaneously. We apply our approach to data from a large Norwegian cohort study, where we look at the hypothesis that smoking increases the risk of lung cancer by modifying the level of DNA methylation. |
| Keywords: | false discovery rate familywise error rate high-dimensional data multiple mediators |