Barely Significant
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The heritability of mating behaviour in a fly and its plasticity in response to the threat of sperm competition.

PLoS One · 2014 · PMC3934992 · PMID 24587294

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may be significantno p-value reported
Our borderline significant heritability of plasticity suggests that there may be significant genetic variation in the trait, and hence selection would be able to act directly on response to rivals.

also in 13,097 other papers

borderline non-significantno p-value reported
We also found evidence suggesting genetic variation in degree of plasticity in mating duration depending on exposure to rivals in one of the two populations, although this evidence was borderline non-significant and hence very weak.

also in 434 other papers

borderline significantno p-value reported
We find no significant heritability of plasticity in mating duration in one population, but borderline significant heritability of plasticity in the second.

also in 11,409 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.