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

Dan-Ling Li, Jun-Xiang Peng, Chong-Yang Duan and Ju-Min Deng

Communications in Statistics - Theory and Methods, 2018, vol. 47, issue 22, 5445-5459

Abstract: 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) (Youden 1950)2w × (SPE) (Youden 1950) 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.

Date: 2018
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DOI: 10.1080/03610926.2017.1395047

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