Barely Significant
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Investigating population genetic structure in a highly mobile marine organism: the minke whale Balaenoptera acutorostrata acutorostrata in the North East Atlantic.

PLoS One · 2014 · PMC4182549 · PMID 25268591

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0.0460
closest p · 0.9× alpha
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boldest claim

The sentences

marginally significantP = 0.046actually significant
Likewise, all the pairwise comparisons between Management Areas were non-significant for all year classes analysed with the only exception of EB-EW in 2010 being marginally significant at R ST = 0.024 ( P = 0.046) but not after Bonferroni correction ( P = 0.0017).

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a decreasing trendno p-value reported
STRUCTURE showed that the highest average likelihood was found to be K = 1 in all year classes together with a decreasing trend of LnP(D) across consecutive values of K (Table A in File S1 ).

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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.