Barely Significant
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MHC-correlated odour preferences in humans and the use of oral contraceptives.

Proc Biol Sci · 2008 · PMC2605820 · PMID 18700206

3
hedged sentences
0.0510
closest p · 1.0× alpha
0.0510
boldest claim

The sentences

bordered on significancep =0.051so close (0.05 < p ≤ 0.1)
The same interaction for odour pleasantness ratings bordered on significance ( F 1,83 =3.92, p =0.051), but there was no effect for odour intensity ( F 1,83 =1.06, p =0.307).

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difference was apparentno p-value reported
Importantly, this difference was apparent even before they initiated pill use, although we do not know the reason for this.

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near-significantno p-value reported
Relationship length was unrelated to MHC-odour preference, but among women in relationships, we found a near-significant association between MHC-odour desirability scores (but not pleasantness or intensity) and the frequency with which women reported fantasizing about sexual relationships with other men ( F 2,45 =2.68, p =0.080), such that women who did so more frequently gave higher desirability scores to MHC-dissimilar odours ( figure 3 b ).

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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.