Barely Significant
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Appetitive operant conditioning in mice: heritability and dissociability of training stages.

Front Behav Neurosci · 2010 · PMC2990458 · PMID 21119771

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highly significantno p-value reported
Even with low variability – high heritability traits such as morphometric data on brain area size, QTLs may not be detected due to a relatively small contributing effect of each individual QTL (Crusio, 2004 ) which often results in difficulties finding highly significant QTLs for complex traits.

also in 132,142 other papers

a slight trendno p-value reported
In contrast, the partial correlations between nose poke and lever press–nose poke performance ( r = 0.29, p = 0.09828; with initial magazine checking partialed out) and initial magazine checking and lever press–nose poke performance ( r = 0.31, p = 0.07664; with reward collection partialed out) showed a slight trend toward correlation but were insignificant.

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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.