Department of Epidemiology, Boston University School of Public Health, Boston, MA 02118, USA.
Epidemiology. 2011 Jul;22(4):599-606. doi: 10.1097/EDE.0b013e31821d0879.
Left truncation occurs when subjects who otherwise meet entry criteria do not remain observable for a later start of follow-up. We investigated left truncation in occupational studies due to inclusion of workers hired before the start of follow-up in a simulation study.
Using Monte Carlo methods, we simulated null and positive associations between exposure (work duration) and mortality for 500 datasets of 5000 subjects, assuming the absence and presence of heterogeneity in susceptibility to disease and to the effect of exposure. We examined incident hires (followed since hire) and left-truncated prevalent hires (those hired before baseline and remained employed at baseline). We estimated the association (&OV0404;1*) as the mean slope using Cox proportional hazards with a linear term for exposure, under scenarios with and without susceptibility.
With homogeneous susceptibility, there were no differences between incident and prevalent hires. Introducing only disease susceptibility did not change results. However, with heterogeneous susceptibility to the effect of exposure, downward bias was observed among prevalent hires under both the true null and positive exposure-response scenarios. The bias increased with time between hire and baseline (null: &OV0404;1* = 0.05 [SD = 0.08], &OV0404;1* = -0.08 [SD = 0.24], &OV0404;1* = -0.18 [SD = 0.98] if hired <15, 15 to <30, and ≥ 30 years before baseline, respectively), coincident with a decreasing percentage of susceptible subjects.
Prevalent hires induce downward bias in an occupational cohort. This occurs because subjects who are less susceptible to the exposure remain exposed the longest, thereby underestimating the association.
左截断是指原本符合纳入标准的研究对象,由于在后续随访开始时不再可观察而导致数据缺失。我们在一项模拟研究中,由于纳入了在随访开始前雇用的工人,因此对职业研究中的左截断进行了研究。
我们使用蒙特卡罗方法,模拟了暴露(工作时间)与死亡率之间的零假设和正假设关联,对于 5000 名受试者的 500 个数据集,假设疾病易感性和暴露效应易感性存在异质性和不存在异质性。我们检查了新发雇用(自雇用起进行随访)和左截断的现患雇用(在基线前雇用并在基线时仍在职的工人)。我们在有和没有易感性的情况下,使用 Cox 比例风险模型,使用暴露的线性项,估计了关联(&OV0404;1*)作为平均斜率。
在易感性均匀的情况下,新发雇用和现患雇用之间没有差异。仅引入疾病易感性并没有改变结果。然而,在暴露效应易感性不均匀的情况下,在真实的零假设和正暴露-反应假设下,现患雇用中都观察到了向下的偏差。随着雇用和基线之间的时间(零假设:&OV0404;1* = 0.05 [SD = 0.08],&OV0404;1* = -0.08 [SD = 0.24],&OV0404;1* = -0.18 [SD = 0.98],如果雇用时间在基线前<15、15 至<30 和≥30 年)的延长,偏差增大,同时易感人群的比例也降低。
现患雇用在职业队列中会产生向下的偏差。这是因为对暴露不太敏感的受试者暴露时间最长,从而低估了关联。