Barely Significant
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Neural activity in cortico-basal ganglia circuits of juvenile songbirds encodes performance during goal-directed learning.

Elife · 2017 · PMC5762157 · PMID 29256393

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almost significantno p-value reported
Maybe you should not say that there is no difference for singing excited neurons since 0.06 is almost significant.

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highly significantno p-value reported
One could argue that it might be less likely to observe significant correlations for this reason, but we observed highly significant correlations between firing rate and tutor similarity.

also in 132,142 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.