Weighted Product Index and Its Two-Independent-Sample Comparison Based on Weighted Sensitivity and Specificity
Weighted Product Index and Its Two-Independent-Sample Comparison Based on Weighted Sensitivity and Specificity
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基于加权灵敏度和特异度的加权产品指数及其两独立样本比较
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通讯作者：
Ju-Min Deng
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作者：
Dan-Ling Li;Jun-Xiang Peng;Chong-Yang Duan;Ju-Min Deng
背景：基于统计学方法，对指数S（S.= SEN×SPE），提出了一种新的加权方法（加权乘积指数Sw），将灵敏度和特异性结合起来，并采用自定义权重结果：在大样本情况下，两独立样本加权乘积指数的检验统计量Z可以是权重w的单调递增/递减函数，也可以是权重w的非单调函数。该统计量的I类误差可以保证接近5%的名义水平，这比模拟的加权Youden指数更保守。
Background: On the basis of statistical methods about index S (S.=SEN×SPE), we develop a new weighted ways (weighted product index.Sw) of combining sensitivity and specificity with user-defined.weights.Methods: The new weighted product index Sw is defined as Sw.=(SEN)2w×(SPE)2(1-w).Results: For the large sample, the test statistics Z.of two-independent-sample weighted product indices can either be a.monotonous increasing/decreasing function or a no-monotonous function.of weight w. Type I error of this statistics can be guaranteed close to the.nominal level of 5%, which is more conservative than the weighted Youden.index from simulation.