Barely Significant
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Correlation analysis in clinical and experimental studies.

J Vasc Bras · 2018 · PMC6375260 · PMID 30787944

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closest p
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The sentences

highly significantno p-value reported
This means that caution is necessary when interpreting coefficients that result in a weak correlation (r < 0.3), but have highly significant p-values, caused by overly-large sample sizes.

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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.