Weighted hazard ratio estimation for delayed and diminishing treatment effect
延迟及递减处理效应下的加权风险比估计AI 解读 ↓
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延迟及递减处理效应下的加权风险比估计
- 研究问题
- 非比例风险下，当加权 log-rank 检验具有较高功效时，相应时变效应 Cox 模型的加权风险比能否准确反映真实处理效应？
- 方法与思路
- 作者考察延迟和递减处理效应情形，比较 Cox 模型估计的效应时间曲线与真实曲线，并在特定约束下解析研究风险比函数的近似关系。
- 材料陈述的贡献
- 摘要称，部分情形的估计曲线接近真实曲线，并给出约束下的近似关系；递减效应情形中，真实风险比较大时可能高估处理效应。
- 阅读关注点
- 应核对加权风险比的目标定义、检验权重与 Cox 时变效应的对应关系，以及解析近似的约束和发生高估的具体参数设定。
- 阅读边界
- 这是 arXiv 预印本，同行评审或期刊接收未经核实。摘要支持特定情形中的近似准确性，未证明普遍无偏，也未说明约束及偏差大小。
原文摘要
Non-proportional hazards (NPH) have been observed in confirmatory clinical trials with time to event outcomes. Under NPH, the hazard ratio does not stay constant over time and the log-rank test is no longer the most powerful test. The weighted log-rank test (WLRT) has been introduced to deal with the presence of non-proportionality. We focus our attention on the WLRT and the complementary Cox model based on the time-varying treatment effect proposed by Lin and León (2017) (doi: 10.1016/j.conctc.2017.09.004). We will investigate whether the proposed weighted hazard ratio (WHR) approach is unbiased in scenarios where the WLRT statistic is the most powerful test. In the diminishing treatment effect scenario where the WLRT statistic would be most optimal, the time-varying treatment effect estimated by the Cox model estimates the treatment effect very close to the true one. However, when the true hazard ratio is large we note that the proposed model overestimates the treatment effect and the treatment profile over time. However, in the delayed treatment scenario, the estimated treatment effect profile over time is typically close to the true profile. For both scenarios, we have demonstrated analytically that the hazard ratio functions are approximately equal under certain constraints. In conclusion, our results demonstrate that in certain scenarios where a given WLRT would be most powerful, we observe that the WHR from the corresponding Cox model is estimating the treatment effect close to the true one.