The conditional permutation test for independence while controlling for confounders

14 Jul 2018Thomas B. BerrettYi WangRina Foygel BarberRichard J. Samworth

We propose a general new method, the conditional permutation test, for testing the conditional independence of variables $X$ and $Y$ given a potentially high-dimensional random vector $Z$ that may contain confounding factors. The proposed test permutes entries of $X$ non-uniformly, so as to respect the existing dependence between $X$ and $Z$ and thus account for the presence of these confounders... (read more)

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