Barely Significant
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Improving the statistical detection of regulated genes from microarray data using intensity-based variance estimation.

BMC Genomics · 2004 · PMC400250 · PMID 15113402

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highly significantno p-value reported
From this formula, it is clear that a large t-statistic (and the corresponding highly significant p-value) can occur because of either a large M avg (high ratio) or a small σ M (low noise).

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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.