Barely Significant
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Engineering thermal conductance using a two-dimensional phononic crystal.

Nat Commun · 2014 · PMC3973070 · PMID 24647049

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fairly significantno p-value reported
This is because of the fairly significant tail of the thermal phonon population at higher frequencies.

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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.