Barely Significant
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Prediction of age at menopause from assessment of ovarian reserve may be improved by using body mass index and smoking status.

PLoS One · 2013 · PMC3591402 · PMID 23505417

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While AMH seems to be lower in women with high BMI, any association did not reach statistical significance when allowance was made for age (i.e., older women tend to have lower AMH and higher BMI than younger women).

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highly significantno p-value reported
With the AMH threshold dependent on the covariates BMI and smoking status, the effects of these covariates were shown to be highly significant.

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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.