FUNCTIONAL COVARIATE-ADJUSTED PARTIAL AREA UNDER THE SPECIFICITY-ROC CURVE WITH AN APPLICATION TO METABOLIC SYNDROME DIAGNOSIS

• 成果类型: Article
• 署名作者: Inacio de Carvalho, Vanda; de Carvalho, Miguel; Alonzo, Todd A.; Gonzalez-Manteiga, Wenceslao
• 署名单位: Pontificia Universidad Catolica de Chile; University of Southern California; Universidade de Santiago de Compostela
• 刊物名称: ANNALS OF APPLIED STATISTICS
• ISSN/ISSBN: 1932-6157
• DOI: 10.1214/16-AOAS943
• 发表日期: 2016
• 页码: 1472-1495
• 关键词: gamma-glutamyl-transferase; methodology; bootstrap; RISK

摘要

Due to recent advances in technology, medical diagnosis data are becoming increasingly complex and, nowadays, applications where measurements are curves or images are ubiquitous. Motivated by the need of modeling a functional covariate on a metabolic syndrome case study, we develop a nonparametric functional regression model for the area under the specificity receiver operating characteristic curve. This partial area is a meaningful summary measure of diagnostic accuracy for cases in which misdiagnosis of diseased subjects may lead to serious clinical consequences, and hence it is critical to maintain a high sensitivity. Its normalized value can be interpreted as the average specificity over the interval of sensitivities considered, thus summarizing the trade-off between sensitivity and specificity. Our methods are motivated by, and applied to, a metabolic syndrome study that investigates how restricting the sensitivity of the gamma-glutamyl-transferase, a metabolic syndrome marker, to certain clinical meaningful values, affects its corresponding specificity and how it might change for different curves of arterial oxygen saturation. Application of our methods suggests that oxygen saturation is key to gamma-glutamyl transferase's performance and that some of the different intervals of sensitivities considered offer a good trade-off between sensitivity and specificity. The simulation study shows that the estimator associated with our model is able to recover successfully the true overall shape of the functional covariate-adjusted partial area under the curve in different complex scenarios.