Barely Significant
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Comparison of multiplex meta analysis techniques for understanding the acute rejection of solid organ transplants.

BMC Bioinformatics · 2010 · PMC2967747 · PMID 21044364

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highly significantno p-value reported
This means that genes that are highly significant in differential expression across the experiments (significant meta p-value) can have a very small meta-fold-change estimate, and the reverse.

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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.