Barely Significant
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Housing conditions affect rat responses to two types of ambiguity in a reward-reward discrimination cognitive bias task.

Behav Brain Res · 2014 · PMC4199117 · PMID 25106739

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a near-significant trendno p-value reported
There was a near-significant trend in the same direction in the dual-frequency probe sessions.

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near-significantno p-value reported
The UHT group crossed significantly more area boundaries in an open field arena, spent significantly more time in close proximity to a novel object, and had a near-significant tendency to spend more time on the open arms of an elevated plus maze (EPM), compared to controls.

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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.