Barely Significant
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Evidence that nonsignificant results are sometimes preferred: Reverse P-hacking or selective reporting?

PLoS Biol · 2019 · PMC6364929 · PMID 30682013

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barely significantno p-value reported
highly significantno p-value reported
One can then test if the curve here is left skewed, with fewer highly significant than barely significant results, indicative of P -hacking [ 10 , 22 ].

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marginally significantno p-value reported
Researchers might prefer not to provide exact P -values when they lie close to 0.05 (i.e., below 0.10) because such findings are often described, albeit erroneously, as ‘marginally significant’.

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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.