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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Prediction of age at menopause from assessment of ovarian reserve may be improved by using body mass index and smoking status.
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The sentences
With the AMH threshold dependent on the covariates BMI and smoking status, the effects of these covariates were shown to be highly significant.