title: Extending induced ROC methodology to the functional context.
abstract: The receiver operating characteristic (ROC) curve is the most widely used measure for evaluating the discriminatory performance of a continuous marker. Often, covariate information is also available and several regression methods have been proposed to incorporate covariate information in the ROC framework. Until now, these methods are only developed for the case where the covariate is univariate or multivariate. We extend ROC regression methodology for the case where the covariate is functional rather than univariate or multivariate. To this end, semiparametric- and nonparametric-induced ROC regression estimators are proposed. A simulation study is performed to assess the performance of the proposed estimators. The methods are applied to and motivated by a metabolic syndrome study in Galicia (NW Spain).
authors.affiliation: Department of Statistics and Operations Research and Center of Statistics and Applications, Lisbon University, Lisbon 1749, Portugal. vanda.kinets@gmail.com
authors.forename: Vanda
authors.initials: V
authors.lastname: Inácio
authors.forename: Wenceslao
authors.initials: W
authors.lastname: González-Manteiga
authors.forename: Manuel
authors.initials: M
authors.lastname: Febrero-Bande
authors.forename: Francisco
authors.initials: F
authors.lastname: Gude
authors.forename: Todd A
authors.initials: TA
authors.lastname: Alonzo
authors.forename: Carmen
authors.initials: C
authors.lastname: Cadarso-Suárez
mesh_terms: D015415:Biomarkers / Q000032:analysis*; D003198:Computer Simulation; D006801:Humans; D000860:Hypoxia / Q000097:blood; D024821:Metabolic Syndrome / Q000201:enzymology; D015233:Models, Statistical; D012372:ROC Curve; D013030:Spain; D005723:gamma-Glutamyltransferase / Q000097:blood
chemical_list: D015415:Biomarkers; D005723:gamma-Glutamyltransferase