Barely Significant
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Gene set enrichment analysis for genome-wide DNA methylation data.

Genome Biol · 2021 · PMC8186068 · PMID 34103055

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highly significantno p-value reported
If these additional constraints are not included, the methylGSA methods mGLM and mRRA (ORA) produced results that were heavily biased towards reporting very small gene sets as highly significant.

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We defined the input for GOmeth as either the top 1000 or top 5000 most highly ranked differentially methylated CpGs even though the probes did not reach statistical significance.

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Quoted from the open-access full text in Europe PMC under the licence the publisher applied. The sentence is reproduced exactly as published; the emphasis is ours.