Nonparametric estimation of the probability of illness in the illness-death model under cross-sectional sampling

• 成果类型: Article
• 署名作者: Mandel, M.; Fluss, R.
• 署名单位: Hebrew University of Jerusalem; Ministry of Health - Israel
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/asp046
• 发表日期: 2009
• 页码: 861872
• 关键词: nosocomial infections; cumulative incidence; prevalence data; distributions; Truncation; Hospitals

摘要

Cross-sectional sampling is an attractive design that saves resources but results in biased data. For proper inference, one should first discover the bias function and then weigh observations appropriately. We consider cross-sectioning of the illness-death model with the aim of estimating the probability of visiting the illness state before death. We develop simple consistent and asymptotically normal estimators under various assumptions on the model and data collection and, in particular, compare designs with and without a follow-up. These designs are common in surveillance of hospital acquired infections, but estimators currently in use do not properly correct the bias.