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Weighted Youden index and its two-independent-sample comparison based on weighted sensitivity and specificity

摘要Background Most indices for evaluating a diagnostic test can be expressed as functions of sensitivity (SEN) and specificity (SPE).Practically,all existing methods suffer from the inability to weight sensitivity and specificity relative to their importance.In this paper,we developed a novel index,the weighted Youden index,that allows Youden index to be a combination of sensitivity and specificity with user-defined weights.Methods The weighted Youden index Jw is defined as Jw=2(w×SEN+(1-w)SPE)-1 (0 ≤w ≤1).It has three properties:(1) the sum of the weights which are attached to sensitivity and specificity should be equal to 1; (2) the range of Jw should be within [-1,1],which is the range of the Youden index J; (3) Jv should be equal to J when sensitivity and specificity have equal weights.According to the central limit theorem,we obtain the standard error of Jw,and propose a statistical inference method to compare two weighted Youden indices.The monotonicity of the test statistic was discussed.Results An example of comparing two diagnostic tests for pheochromocytoma was used to demonstrate the weighted Youden index method.Weighted Youden index,the confidence interval for each test and the hypothesis test of comparing two independent diagnostic tests were presented.Assigning the weights is essential to the weighted Youden index approach.Conclusion The weighted Youden index can broaden its applications in diagnostic test development and motivate further research in weighting sensitivity and specificity explicitly.

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作者单位 Department of Biostatistics, School of Public Health and Tropical Medicine, Southern Medical University, Guangzhou, Guangdong 510515, China [1] Shanghai Roche Pharmaceuticals Ltd., Roche Product Development in Asia Pacific, Shanghai 201203, China [2] Department of Neurosurgery, Southern Hospital, Southern Medical University, Guangzhou, Guangdong 510515, China [3]
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DOI 10.3760/cma.j.issn.0366-6999.20123102
发布时间 2013-05-10
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中华医学杂志(英文版)

中华医学杂志(英文版)

2013年126卷6期

1150-1154页

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