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Risk of Error and the Kappa Coefficient of a Binary Diagnostic Test in the Presence of Partial Verification

机译:存在部分验证的二进制诊断测试的错误风险和卡伯系数

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The accuracy of a binary diagnostic test is usually measured in terms of its sensitivity and its specificity, or through positive and negative predictive values. Another way to describe the validity of a binary diagnostic test is the risk of error and the kappa coefficient of the risk of error. The risk of error is the average loss that is caused when incorrectly classifying a non-diseased or a diseased patient, and the kappa coefficient of the risk of error is a measure of the agreement between the diagnostic test and the gold standard. In the presence of partial verification of the disease, the disease status of some patients is unknown, and therefore the evaluation of a diagnostic test cannot be carried out through the traditional method. In this paper, we have deduced the maximum likelihood estimators and variances of the risk of error and of the kappa coefficient of the risk of error in the presence of partial verification of the disease. Simulation experiments have been carried out to study the effect of the verification probabilities on the coverage of the confidence interval of the kappa coefficient.
机译:二进制诊断测试的准确性通常根据其敏感性和特异性或通过阳性和阴性预测值来衡量。描述二元诊断测试有效性的另一种方法是错误风险和错误风险的卡伯系数。错误风险是对未患病或患病的患者进行错误分类时造成的平均损失,而错误风险的卡伯系数是诊断测试与黄金标准之间一致性的量度。在部分验证疾病的情况下,某些患者的疾病状态未知,因此无法通过传统方法进行诊断测试的评估。在本文中,我们推导出了最大似然估计量和存在部分验证情况下的错误风险以及错误风险的kappa系数的方差。已经进行了仿真实验,以研究验证概率对κ系数置信区间的覆盖范围的影响。

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