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Published on: October 23, 2020
Regression analysis of failure time data with informative interval censoring
Zhigang Zhang1, Liuquan Sun, Jianguo Sun
1Department of Statistics, 301 Mathematical Sciences Building, Oklahoma State University, Stillwater, OK 74078, USA. zhigang.zhang@okstate.edu
This study introduces a new regression method for interval-censored failure time data when censoring depends on the failure time. The proposed proportional hazards frailty model with an EM algorithm handles dependent censoring effectively.
Area of Science:
- Biostatistics
- Survival Analysis
- Statistical Modeling
Background:
- Interval-censored failure time data occurs when subjects miss visits, preventing exact event time determination.
- Standard methods often assume censoring is independent of failure time, which may not always be true.
- Dependent censoring can bias results in survival data analysis.
Purpose of the Study:
- To propose a novel regression method for interval-censored failure time data.
- To address situations where the censoring mechanism is dependent on the true failure time.
- To model the dependence structure using latent variables.
Main Methods:
- Utilized a proportional hazards frailty model to account for dependent censoring.
- Employed the Expectation-Maximization (EM) algorithm for parameter estimation.
- Investigated the dependence structure between censoring variables and failure time via latent variables.
Main Results:
- Developed and presented a new method for regression analysis of dependent interval-censored failure time data.
- Examined the finite sample properties of the proposed estimators through simulation studies.
- Demonstrated the method's applicability using real-world data from an AIDS study.
Conclusions:
- The proposed method effectively handles interval-censored failure time data with dependent censoring.
- The proportional hazards frailty model and EM algorithm provide a robust estimation framework.
- The approach offers a valuable tool for analyzing complex survival data, as shown in the AIDS study example.
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