Comparing the effectiveness of k-different treatments through the area under the ROC curve

dc.creatorMartínez-Camblor, Pablo
dc.creatorPérez-Fernández, Sonia
dc.creatorDwiel, Lucas L.
dc.creatorDoucette, Wilder T.
dc.date2024-06-19T04:48:32Z
dc.date2024-06-19T04:48:32Z
dc.date2024
dc.date.accessioned2024-07-17T21:14:42Z
dc.date.available2024-07-17T21:14:42Z
dc.identifier10.1002/sta4.672
dc.identifier20491573
dc.identifierhttps://hdl.handle.net/20.500.12728/11360
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/9509724
dc.descriptionThe area under the receiver-operating characteristic curve (AUC) has become a popular index not only for measuring the overall prediction capacity of a marker but also the strength of the association between continuous and binary variables. In the current considered study, the AUC was used for comparing the association size of four different interventions involving impulsive decision making, studied through an animal model, in which each animal provides several negative (pretreatment) and positive (posttreatment) measures. The problem of the full comparison of the average AUCs arises therefore in a natural way. We construct an analysis of variance (ANOVA) type test for testing the equality of the impact of these treatments measured through the respective AUCs and considering the random-effect represented by the animal. The use (and development) of a post hoc Tukey's HSD-type test is also considered. We explore the finite-sample behaviour of our proposal via Monte Carlo simulations, and analyse the data generated from the original problem. An R package implementing the procedures is provided in the supporting information. © 2024 John Wiley & Sons Ltd.
dc.descriptionNational Institute of Mental Health, NIMH; Asturies Government, (PID2020‐118101GB‐I00); Ministerio de Ciencia e Innovación, MCIN, (1R01MH134141)
dc.formatapplication/pdf
dc.languageen
dc.publisherJohn Wiley and Sons Inc
dc.subjectANOVA test
dc.subjectarea under the curve
dc.subjectbrain quantification
dc.subjectpost hoc test
dc.subjectrandom-effects
dc.titleComparing the effectiveness of k-different treatments through the area under the ROC curve
dc.typeArticle


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