Barely Significant
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Effects of supplementary feeding on interspecific dominance hierarchies in garden birds.

PLoS One · 2018 · PMC6124729 · PMID 30183709

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highly significantno p-value reported
A highly significant positive association between dominance rank and body mass across species suggests that the hierarchy is largely driven by variation in body mass or size.

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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.