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Transforming Summary Statistics from Logistic Regression to the Liability Scale: Application to Genetic and Environmental Risk Scores.
Human Heredity ( IF 1.8 ) Pub Date : 2019-03-14 , DOI: 10.1159/000495697
Alexandra C Gillett 1 , Evangelos Vassos 1 , Cathryn M Lewis 2, 3
Affiliation  

OBJECTIVE Stratified medicine requires models of disease risk incorporating genetic and environmental factors. These may combine estimates from different studies, and the models must be easily updatable when new estimates become available. The logit scale is often used in genetic and environmental association studies; however, the liability scale is used for polygenic risk scores and measures of heritability, but combining parameters across studies requires a common scale for the estimates. METHODS We present equations to approximate the relationship between univariate effect size estimates on the logit scale and the liability scale, allowing model parameters to be translated between scales. RESULTS These equations are used to build a risk score on the liability scale, using effect size estimates originally estimated on the logit scale. Such a score can then be used in a joint effects model to estimate the risk of disease, and this is demonstrated for schizophrenia using a polygenic risk score and environmental risk factors. CONCLUSION This straightforward method allows the conversion of model parameters between the logit and liability scales and may be a key tool to integrate risk estimates into a comprehensive risk model, particularly for joint models with environmental and genetic risk factors.

中文翻译:

将摘要统计量从Logistic回归转换为责任量表:应用于遗传和环境风险评分。

目的分层医学需要结合遗传和环境因素的疾病风险模型。这些可能会结合来自不同研究的估计,并且当新的估计可用时,模型必须易于更新。Logit量表通常用于遗传和环境关联研究。但是,责任量表用于多基因风险评分和遗传力测度,但是将研究之间的参数结合起来需要一个通用的估算量表。方法我们提出了方程,以近似对数规模和责任规模上的单变量效应大小估计之间的关系,从而允许模型参数在规模之间转换。结果这些方程式用于使用对数刻度上最初估计的影响大小估算来建立负债等级上的风险评分。然后,可以在联合效应模型中使用此评分来估计疾病的风险,并使用多基因风险评分和环境风险因素对精神分裂症进行了证明。结论这种简单的方法可以在对数和责任量表之间转换模型参数,并且可能是将风险估计整合到综合风险模型中的关键工具,特别是对于具有环境和遗传风险因子的联合模型。
更新日期:2019-11-01
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