arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2103.00772stat.APstat.ME
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基于测量证据的ROC分析

ROC Analyses Based on Measuring Evidence

Luai Al Labadi, Michael Evans, Qiaoyu Liang

摘要:

ROC分析是在关于测量值$X$在两个人群中的分布的各种假设下考虑的。这些模型包括副正态模型和非参数模型,其中对分布的形式几乎没有假设。该方法基于统计证据的表征,其取决于未知总体分布以及给定人群中疾病的相关患病率$w$的先验分布的规格。在所有情况下,启发式算法提供指导先验的选择。推导AUC以及用于分类的截止值$c$和相关误差特征的推断。

英文摘要:

ROC analyses are considered under a variety of assumptions concerning the distributions of a measurement $X$ in two populations. These include the binormal model as well as nonparametric models where little is assumed about the form of distributions. The methodology is based on a characterization of statistical evidence which is dependent on the specification of prior distributions for the unknown population distributions as well as for the relevant prevalence $w$ of the disease in a given population. In all cases, elicitation algorithms are provided to guide the selection of the priors. Inferences are derived for the AUC as well as the cutoff $c$ used for classification and the associated error characteristics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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