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在比例风险假设下,风险比等同于比值比。

The Hazard Ratio Is Equivalent to an Odds Under the Assumption of Proportional Hazards.

作者信息

Thompson David M

机构信息

Department of Biostatistics and Epidemiology, Hudson College of Public Health, University of Oklahoma Health Sciences, Oklahoma City, OK.

出版信息

J Patient Cent Res Rev. 2025 Jul 15;12(3):140-143. doi: 10.17294/2330-0698.2156. eCollection 2025 Summer.

Abstract

Clinicians routinely interpret statistical findings from medical research to inform patients of treatment benefits. Studies that use the hazard ratio present special challenges. Clinicians should not equate hazard ratios with risk ratios, ie, relative risks. However, clinicians can provide patients with a straightforward interpretation of the hazard ratio as an odds, as long as the ratio was calculated in a study in which the assumption of proportional hazards is justified. In such a case, the hazard ratio is equivalent to the odds that a person, who is randomly chosen from the group represented in the ratio's numerator, experiences an event before a randomly chosen person from the group represented in the ratio's denominator. A mathematical derivation for the equivalence is provided to further clarify this idea for clinicians.

摘要

临床医生通常会解读医学研究中的统计结果,以便向患者说明治疗的益处。使用风险比的研究带来了特殊的挑战。临床医生不应将风险比等同于风险率,即相对风险。然而,只要风险比是在比例风险假设合理的研究中计算得出的,临床医生就可以向患者提供对风险比的简单解释,即将其解释为一种比值。在这种情况下,风险比等同于从风险比分子所代表的组中随机选择的人,比从风险比分母所代表的组中随机选择的人更早经历某事件的比值。本文提供了这种等价性的数学推导,以进一步向临床医生阐明这一概念。

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