Barely Significant
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Olfactory experience shapes the evaluation of odour similarity in ants: a behavioural and computational analysis.

Proc Biol Sci · 2016 · PMC5013785 · PMID 27581883

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closest p · 1.2× alpha
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The sentences

close to significancep < 0.06so close (0.05 < p ≤ 0.1)
Consequently, the level of CS+ responses in the test was significantly lower for ants trained with differential conditioning, except in the case of hexanal+ versus hexanal+/octanal− ( figure 1 a ) where it was close to significance (Fisher's exact test, 0.001 < p < 0.06).

also in 1,198 other papers

almost significantno p-value reported
In the case of nonanal+/heptanal− ( figure 2 d ), the difference in response between nonanal and octanal was almost significant ( p corr = 0.05), thus indicating that even after differential conditioning, high levels of generalization can still be observed.

also in 996 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.