PMID- 29082535 OWN - NLM STAT- MEDLINE DCOM- 20191004 LR - 20200306 IS - 1097-0258 (Electronic) IS - 0277-6715 (Print) IS - 0277-6715 (Linking) VI - 37 IP - 4 DP - 2018 Feb 20 TI - Combining multiple biomarkers linearly to maximize the partial area under the ROC curve. PG - 627-642 LID - 10.1002/sim.7535 [doi] AB - It is now common in clinical practice to make clinical decisions based on combinations of multiple biomarkers. In this paper, we propose new approaches for combining multiple biomarkers linearly to maximize the partial area under the receiver operating characteristic curve (pAUC). The parametric and nonparametric methods that have been developed for this purpose have limitations. When the biomarker values for populations with and without a given disease follow a multivariate normal distribution, it is easy to implement our proposed parametric approach, which adopts an alternative analytic expression of the pAUC. When normality assumptions are violated, a kernel-based approach is presented, which handles multiple biomarkers simultaneously. We evaluated the proposed as well as existing methods through simulations and discovered that when the covariance matrices for the disease and nondisease samples are disproportional, traditional methods (such as the logistic regression) are more likely to fail to maximize the pAUC while the proposed methods are more robust. The proposed approaches are illustrated through application to a prostate cancer data set, and a rank-based leave-one-out cross-validation procedure is proposed to obtain a realistic estimate of the pAUC when there is no independent validation set available. CI - Copyright (c) 2017 John Wiley & Sons, Ltd. FAU - Yan, Qingxiang AU - Yan Q AUID- ORCID: 0000-0003-3842-3933 AD - Department of Biostatistics, The University of Texas MD Anderson Cancer Center, Houston, TX, 77030, USA. FAU - Bantis, Leonidas E AU - Bantis LE AUID- ORCID: 0000-0002-2364-2562 AD - Department of Biostatistics, The University of Texas MD Anderson Cancer Center, Houston, TX, 77030, USA. FAU - Stanford, Janet L AU - Stanford JL AD - Division of Public Health Sciences, Fred Hutchinson Cancer Research Center, Seattle, WA, 98195, USA. AD - Department of Epidemiology, University of Washington School of Public Health, Seattle, WA, 98109, USA. FAU - Feng, Ziding AU - Feng Z AD - Department of Biostatistics, The University of Texas MD Anderson Cancer Center, Houston, TX, 77030, USA. LA - eng GR - P50 CA097186/CA/NCI NIH HHS/United States GR - R01 GM106177/GM/NIGMS NIH HHS/United States GR - U01 DK108328/DK/NIDDK NIH HHS/United States GR - U24 CA086368/CA/NCI NIH HHS/United States PT - Journal Article PT - Research Support, N.I.H., Extramural DEP - 20171030 PL - England TA - Stat Med JT - Statistics in medicine JID - 8215016 RN - 0 (Biomarkers) SB - IM MH - Algorithms MH - *Area Under Curve MH - Biomarkers/*analysis MH - Biostatistics MH - Computer Simulation MH - DNA Methylation/genetics MH - Disease Progression MH - Humans MH - Linear Models MH - Logistic Models MH - Male MH - Medical Overuse/prevention & control MH - Normal Distribution MH - Prostatic Neoplasms/diagnosis/genetics/therapy MH - ROC Curve MH - Statistics, Nonparametric PMC - PMC6469690 MID - NIHMS914891 OTO - NOTNLM OT - ROC analysis OT - logistic regression OT - optimal linear combination OT - pAUC OT - parametric and nonparametric EDAT- 2017/10/31 06:00 MHDA- 2019/10/08 06:00 PMCR- 2019/04/17 CRDT- 2017/10/31 06:00 PHST- 2016/05/27 00:00 [received] PHST- 2017/09/17 00:00 [revised] PHST- 2017/09/26 00:00 [accepted] PHST- 2017/10/31 06:00 [pubmed] PHST- 2019/10/08 06:00 [medline] PHST- 2017/10/31 06:00 [entrez] PHST- 2019/04/17 00:00 [pmc-release] AID - 10.1002/sim.7535 [doi] PST - ppublish SO - Stat Med. 2018 Feb 20;37(4):627-642. doi: 10.1002/sim.7535. Epub 2017 Oct 30.