Chiba Yasutaka
Clinical Research Center, Kindai University Hospital, Osaka, Japan.
Pharm Stat. 2025 Mar-Apr;24(2):e70009. doi: 10.1002/pst.70009.
A new measure was recently developed in the context of survival analysis that can be interpreted as a weighted arithmetic mean of the hazards with the survival function as the weight. However, when the average hazard is desired, it is more appropriate to use the harmonic mean rather than the arithmetic mean. Therefore, in this article, we derive the average hazard as a harmonic mean version of the expectation for hazards and show it to be equal to the previous weighted arithmetic mean. Furthermore, we demonstrate that the average hazard should be estimated using only the times at which the event is observed, while previous studies have allowed estimating the average hazard even when the truncation time is set to a time at which the event is not observed.
最近在生存分析的背景下开发了一种新的度量方法，它可以解释为以生存函数为权重的风险的加权算术平均值。然而，当需要平均风险时，使用调和平均值比算术平均值更合适。因此，在本文中，我们将平均风险推导为风险期望的调和平均版本，并证明它等于先前的加权算术平均值。此外，我们证明平均风险应该仅使用观察到事件发生的时间来估计，而先前的研究允许即使将截断时间设置为未观察到事件的时间时也估计平均风险。
