Barely Significant
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Adult attachment style and cortisol responses across the day in older adults.

Psychophysiology · 2013 · PMC4298031 · PMID 23808770

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approaching significanceno p-value reported
For men in particular, preoccupied attachment was associated with increased day cortisol levels (AUC) and higher bedtime cortisol levels, while only approaching significance among women.

also in 2,640 other papers

approached significanceno p-value reported
Preoccupied attachment had a significant association with cortisol across the day, while fearful attachment approached significance.

also in 8,237 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.