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Joint model for a diagnostic test without a gold standard in the presence of a dependent terminal event
Authors:Sheng Luo  Xiao Su  Stacia M. DeSantis  Xuelin Huang  Min Yi  Kelly K. Hunt
Affiliation:1. Division of Biostatistics, The University of Texas Health Science Center at Houston, , 1200 Pressler St, Houston, TX 77030, U.S.A.;2. Department of Biostatistics, The University of Texas MD Anderson Cancer Center, , Houston, TX 77030, U.S.A.;3. Department of Surgical Oncology, The University of Texas MD Anderson Cancer Center, , Houston, TX 77030, U.S.A.
Abstract:Breast cancer patients after breast conservation therapy often develop ipsilateral breast tumor relapse (IBTR), whose classification (true local recurrence versus new ipsilateral primary tumor) is subject to error, and there is no available gold standard. Some patients may die because of breast cancer before IBTR develops. Because this terminal event may be related to the individual patient's unobserved disease status and time to IBTR, the terminal mechanism is non‐ignorable. This article presents a joint analysis framework to model the binomial regression with misclassified binary outcome and the correlated time to IBTR, subject to a dependent terminal event and in the absence of a gold standard. Shared random effects are used to link together two survival times. The proposed approach is evaluated by a simulation study and is applied to a breast cancer data set consisting of 4477 breast cancer patients. The proposed joint model can be conveniently fit using adaptive Gaussian quadrature tools implemented in SAS 9.3 (SAS Institute Inc., Cary, NC, USA) procedure NLMIXED . Copyright © 2014 John Wiley & Sons, Ltd.
Keywords:binomial regression  Cox model  frailty model  latent class model  informative censoring  tumor relapse
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