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The increasing observation of mutual exclusivity correlations among cancergene mutations is a key component for identifying driver events or pathways incancer genome analysis. Here we report a rigorous statistical method to computean exact $p$-value for the beyond-pairwise mutual exclusivity or co-occurrencerelationships among cancer gene mutations by enumerating a null distribution ofoverlapping mutations across more than two genes. The validity and theadvantage of our method is explicitly demonstrated in both cancer genemutations and simulation data through the comparison to the permutation test.

An exact method to compute a $p$-value for the beyond-pairwise correlations among cancer gene mutations