Weighted product index and its two-independent-sample comparison based on weighted sensitivity and specificity. Issue 22 (17th November 2018)

• Record Type: Journal Article
• Authors: Li, Dan-Ling; Peng, Jun-Xiang; Duan, Chong-Yang; Deng, Ju-Min
• Is Part Of: Communications in statistics. Volume 47:Issue 22(2018)
• Page Start: 5445
• Page End: 5459
• Publication Date: 2018-11-17
• Subjects: Weighted product index -- diagnostic test -- weights -- sensitivity -- specificity.; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2017.1395047
• Languages: English
• ISSNs: 0361-0926

Abstract

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) 2 w × ( 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.