论文标题
关于治疗效应异质性与变异比效应尺寸统计量之间的关系
On the Relationship between Treatment Effect Heterogeneity and the Variability Ratio Effect Size Statistic
论文作者
论文摘要
最近，在研究两个研究人群之间测量变量变化的差异的研究中，已使用变异比（VR）效应尺寸统计量的频率增加。更具体地说，VR效应大小统计量可以检测医疗干预措施的治疗效应异质性（TEH）。虽然与1不同的VR被广泛承认，这暗示了治疗效应异质性（TEH）到目前为止尚未详细讨论这两个数量之间的确切关系。 在本说明中，我们得出了TEH和VR之间的精确联系。特别是，我们根据VR得出了TEH的精确上限和下限。此外，我们提供了一个模拟VR等于1的模拟模拟，并且存在TEH。 我们的结果对（医学）干预措施的治疗效应异质性的连接的解释对VR效应大小的解释具有影响。
Recently, the variability ratio (VR) effect size statistic has been used with increasing frequency in the study of differences in variation of a measured variable between two study populations. More specifically, the VR effect size statistic allows for the detection of treatment effect heterogeneity (TEH) of medical interventions. While a VR that is different from 1 is widely acknowledged to implicate a treatment effect heterogeneity (TEH) the exact relationship between those two quantities has not been discussed in detail thus far. In this note we derive a precise connection between TEH and VR. In particular, we derive precise upper and lower bounds on the TEH in terms of VR. Moreover, we provide an exemplary simulation for which VR is equal to 1 and there exist TEH. Our result has implications for the interpretation of VR effect size estimates regarding its connection to treatment effect heterogeneity of (medical) interventions.
