Abstract
Modeling and statistically analyzing epigenetic data is a challenging task. In particular, parametric model assumptions for their distribution are often hard to verify, especially due to constantly evolving measurement techniques. We define a nonparametric two-group model for multivariate epigenetic measurements. Based on this model, multiple test procedures are derived for the detection of coordinate-wise distributional differences between the two groups. The multivariate character of the proposed procedures is targeted towards an optimization of statistical power, while keeping the family-wise error rate under control. A real data example is presented, and some possible extensions of the proposed methodology are discussed.
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