From the CAUSALab, Department of Epidemiology, Harvard T.H. Chan School of Public Health, Boston, MA.
Department of Biostatistics, Harvard T.H. Chan School of Public Health, Boston, MA.
Epidemiology. 2025 Jan 1;36(1):107-114. doi: 10.1097/EDE.0000000000001808. Epub 2024 Nov 4.
Immortal time may arise in survival analyses when individuals are assigned to treatment strategies based on post-eligibility information or selected based on post-assignment eligibility criteria. Selection based on eligibility criteria applied after treatment assignment results in immortal time when the analysis starts the follow-up at assignment. Misclassification of assignment to treatment strategies based on treatment received after eligibility results in immortal time when the treatment strategies are not distinguishable at the start of follow-up. Target trial emulation prevents the introduction of immortal time by explicitly specifying eligibility and assignment to the treatment strategies, and by synchronizing them at the start of follow-up. We summarize analytic approaches that prevent immortal time when longitudinal data are available to emulate the target trial from the time of treatment assignment. The term "immortal time bias" suggests that the source of the bias is the immortal time, but it is selection or misclassification that generates the immortal time, leading to bias.
当个体根据资格后信息被分配治疗策略或根据分配后资格标准被选择时,生存分析中可能会出现 Immortal time。当分析从分配时开始随访时,基于分配后应用的资格标准进行选择会导致 Immortal time。基于资格后治疗接受的分类错误导致治疗策略在随访开始时不可区分,从而导致 Immortal time。目标试验仿真通过明确指定资格和分配给治疗策略,并在随访开始时同步它们来防止 Immortal time 的引入。我们总结了当有纵向数据可用于从治疗分配时模拟目标试验时,防止 Immortal time 的分析方法。术语“ Immortal time bias”表明偏倚的来源是 Immortal time,但正是选择或分类错误导致了 Immortal time 的产生,从而导致了偏倚。