Variable Selection for Proportional Hazards Models with High-Dimensional Covariates Subject to Measurement Error

• Activity Number: 582 - Integrating Information from Different Data Sources: Some New Developments
• Type: Topic Contributed
• Date/Time: Thursday, August 6, 2020 : 3:00 PM to 4:50 PM
• Sponsor: International Chinese Statistical Association
• Author(s): Baojiang Chen* and Ao Yuan and Grace Yi
• Companies: and Georgetown University Medical Center and Unievrsity of Western Ontario
• Keywords: High dimensional covariates; Measurement error; Proportional hazards model; Variable selection; Survival data

Abstract

Methods of analyzing high dimensional data are often challenged by the presence of measurement error in variables, a common issue arising from various applications. Conducting naive analysis with measurement error effects ignored usually gives biased results. However, relatively little research has been focused on this topic. In this paper, we consider this important problem and discuss variable selection for proportional hazards models with high dimensional covariates subject to measurement error. We propose a penalized ``corrected" likelihood-based method to simultaneously address the measurement error effects and perform variable selection. We establish theoretical results including the consistency, the oracle property, and the asymptotic distribution of the proposed estimator. Simulation studies are conducted to assess the finite sample performance of the proposed method. To illustrate the use of our method, we apply the proposed method to analyze a data set arising from the breast cancer study.