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What does it mean for a gene set to have a nominal p value of zero?

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What does it mean for a gene set to have a nominal p value of zero?

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A reported p value of zero (0.0) indicates an actual p-value of less than 1/number-of-permutations. For a more accurate p value, increase the number of permutations performed by the analysis. For more information about gene set enrichment analysis results, see Interpreting GSEA in the GSEA User Guide.

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