Barely Significant
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A comparison of human and mouse gene co-expression networks reveals conservation and divergence at the tissue, pathway and disease levels.

BMC Evol Biol · 2015 · PMC4654840 · PMID 26589719

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highly significantno p-value reported
One caveat in our analysis, however, is that even if the p -values are highly significant because of the large amount of data used, often the effect sizes of the correlations are relatively modest.

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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.