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Activity Number: 520 - Survival Analysis III
Type: Contributed
Date/Time: Wednesday, August 1, 2018 : 10:30 AM to 12:20 PM
Sponsor: Biometrics Section
Abstract #327094
Title: Time-To-Event Data with Time-Varying Biomarkers Measured Only at Study Entry, with Applications to Alzheimer's Disease
Author(s): Catherine Lee* and Rebecca A. Betensky
Companies: Kaiser Permanente Division of Research and Harvard School of Public Health
Keywords: Cox model; time varying covariates; Alzheimer's disease; survival analysis
Abstract:

Relating time-varying biomarkers of Alzheimer's disease (AD) to time-to-event using a Cox model is complicated by the fact that AD biomarkers are sparsely collected, typically only at study entry; this is problematic since Cox regression with time-varying covariates requires observation of the covariate process at all failure times. The analysis might be simplified by using study entry as the time origin and treating the time-varying covariate measured at study entry as a fixed baseline covariate. In this paper, we first derive conditions under which using an incorrect time origin of study entry results in consistent estimation of regression parameters when the time-varying covariate is continuous and fully observed. We then derive conditions under which treating the time-varying covariate as fixed at study entry results in consistent estimation. We provide methods for estimating the regression parameter when a functional form can be assumed for the time-varying biomarker, which is measured only at study entry. We demonstrate our analytical results in a simulation study and apply our methods to two Alzheimer's data sets.


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