Barely Significant
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The new normal? Redaction bias in biomedical science.

R Soc Open Sci · 2021 · PMC8633797 · PMID 34966555

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highly significantno p-value reported
There are many instances where a highly significant result may have an effect size that renders it clinically negligible—for example, if n is sufficiently high.

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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.