Barely Significant
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LEGO: a novel method for gene set over-representation analysis by incorporating network-based gene weights.

Sci Rep · 2016 · PMC4707541 · PMID 26750448

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may be significantno p-value reported
Since for most methods each gene set is tested independently, there may be significant redundancy among enriched gene sets, making it difficult for biologists to interpret the results.

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barely significantno p-value reported
The yeast TF network is a small network, and network perturbations on this network have significant impacts on LEGO’s performance: both the cell cycle and the sporulation GO term are barely significant after 10% edge removal or rewiring, and their average ranks drops with the increase of network perturbations ( Supplementary Fig.

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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.