Barely Significant
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Condition dependent strategies of egg size variation in the Common Eider Somateria mollissima.

PLoS One · 2020 · PMC7384649 · PMID 32716933

2
hedged sentences
0.0540
closest p · 1.1× alpha
0.0540
boldest claim

The sentences

almost significantlyp = 0.054so close (0.05 < p ≤ 0.1)
The second egg in the laying sequence was significantly larger in 5-egg clutches compared to 2- and 3-egg clutches, almost significantly larger (p = 0.054) than in 4-egg clutches, but did not differ from the second egg in 6-egg clutches ( Fig 2 ) ( S3 Table ).

also in 555 other papers

almost significantno p-value reported
marginally insignificantno p-value reported
Line 35 and elsewhere - Rather than wording like “marginally insignificant”, it might be more clear to just say “showed x trend” or “tended to..” just to make the direction of the almost significant relationship more clear.

also in 1,858 other papers

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.