Concordance for prognostic models with competing risks.

Concordance for prognostic models with competing risks.
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DOI:
10.1093/biostatistics/kxt059
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发表时间:
2014-07
期刊:
Biostatistics (Oxford, England)
影响因子:
--
通讯作者:
Gerds TA
Gerds TA
中科院分区:
其他
文献类型:
--
作者:
Wolbers M;Blanche P;Koller MT;Witteman JC;Gerds TA

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一致性概率是一种广泛用于评估二元和生存终点预后模型区分度的指标。我们正式定义的一致性概率的绝对风险的一个事件的存在竞争的风险的预后模型,并将其与最近提出的时间依赖性区域下的接收器工作特征曲线的措施。对于右删失数据,我们研究了截尾一致性指数的截尾加权逆概率(IPCW)估计,基于截尾分布的工作模型。我们证明了IPCW估计的一致性和渐近正态性,如果工作模型是正确指定的,并推导出一个明确的公式,在独立删失的渐近方差。估计的小样本性质进行了评估,在模拟研究中也对误设定的工作模型。我们进一步说明的方法,通过计算的一致性概率的冠心病(CHD)事件的预后模型中存在的竞争风险的非CHD死亡。
The concordance probability is a widely used measure to assess discrimination of prognostic models with binary and survival endpoints. We formally define the concordance probability for a prognostic model of the absolute risk of an event of interest in the presence of competing risks and relate it to recently proposed time-dependent area under the receiver operating characteristic curve measures. For right-censored data, we investigate inverse probability of censoring weighted (IPCW) estimates of a truncated concordance index based on a working model for the censoring distribution. We demonstrate consistency and asymptotic normality of the IPCW estimate if the working model is correctly specified and derive an explicit formula for the asymptotic variance under independent censoring. The small sample properties of the estimator are assessed in a simulation study also against misspecification of the working model. We further illustrate the methods by computing the concordance probability for a prognostic model of coronary heart disease (CHD) events in the presence of the competing risk of non-CHD death.
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