Department of Biostatistics Boston University School of Public Health Boston MA.
National Heart, Lung, and Blood Institute's and Boston University's Framingham Heart Study Framingham MA.
J Am Heart Assoc. 2019 Aug 20;8(16):e013011. doi: 10.1161/JAHA.119.013011. Epub 2019 Aug 8.
Background Previous studies assessing the association between body mass index (BMI) and atrial fibrillation (AF) did not account for time-varying covariates, which may be affected by previous BMI. We illustrate how the g-formula can account for time-varying confounding. Methods and Results We included 4392 participants from the Framingham Heart Study who were AF free at ages 45 to 55 years, and followed them for up to 20 years. We estimated hazard ratios (HRs) comparing time-varying nonobese versus obese with Cox models. We used the g-formula to compare nonobese versus obese and 10% annual decrease in BMI (until normal weight is reached) versus natural course. We estimated HRs and differences in restricted mean survival times, the mean difference in time alive and AF free. We adjusted for sex, age, and time-varying risk factors. Cox models indicated that nonobese participants had a decreased rate of AF versus obese participants (HR, 0.83; 95% CI, 0.72-0.97). G-formula analyses comparing everyone had they been nonobese versus obese yielded stronger associations (HR, 0.73; 95% CI, 0.58-0.91). The restricted mean survival time was 19.22 years had everyone been nonobese and 19.03 years had everyone been obese (difference, 2.25 months; 95% CI, -0.66 to 5.16). When assessing a 10% annual decrease in BMI, the association was weaker (HR 0.96; 95% CI, 0.86-1.08). Conclusions Decreased BMI was associated with a lower rate of AF after accounting for time-varying covariates that depend on previous exposure using the g-formula, which Cox models cannot accommodate. Absolute measures like the restricted mean survival time difference offer context to relative measures of association.
先前评估体重指数(BMI)与心房颤动(AF)之间关联的研究并未考虑到随时间变化的协变量,这些协变量可能受先前 BMI 的影响。我们将说明 g 公式如何考虑随时间变化的混杂因素。
我们纳入了Framingham 心脏研究中的 4392 名参与者,他们在 45 至 55 岁时无 AF,并对其进行了长达 20 年的随访。我们使用 Cox 模型比较了随时间变化的非肥胖者与肥胖者之间的危险比(HR)。我们使用 g 公式比较了非肥胖者与肥胖者,以及 BMI 每年减少 10%(直到达到正常体重)与自然病程之间的差异。我们估计了 HRs 和限制平均生存时间、生存和无 AF 时间的平均差异。我们调整了性别、年龄和随时间变化的危险因素。Cox 模型表明,与肥胖者相比,非肥胖者的 AF 发生率降低(HR,0.83;95%CI,0.72-0.97)。与肥胖者相比,g 公式分析比较了每个人如果是非肥胖者的结果,得出了更强的关联(HR,0.73;95%CI,0.58-0.91)。如果每个人都是非肥胖者,限制平均生存时间为 19.22 年,如果每个人都是肥胖者,限制平均生存时间为 19.03 年(差异,2.25 个月;95%CI,-0.66 至 5.16)。当评估 BMI 每年减少 10%时,关联较弱(HR,0.96;95%CI,0.86-1.08)。
在用 g 公式考虑到依赖于先前暴露的随时间变化的协变量后,BMI 降低与 AF 发生率降低相关,而 Cox 模型无法适应这种情况。像限制平均生存时间差异这样的绝对措施为相对关联措施提供了背景。