Hierarchical graphical models: An application to pulmonary function and cholesterol levels in the normative aging study

• 成果类型: Article
• 署名作者: Zhang, D; Wells, MT; Turnbull, BW; Sparrow, D; Cassano, PA
• 署名单位: University of Rochester; Cornell University; Harvard University; Harvard University Medical Affiliates; US Department of Veterans Affairs; Veterans Health Administration (VHA); VA Boston Healthcare System; Boston University; Cornell University
• 刊物名称: JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
• ISSN/ISSBN: 0162-1459
• DOI: 10.1198/016214505000000114
• 发表日期: 2005
• 页码: 719-727
• 关键词: nutrition-examination-survey; em algorithm; national-health; mortality; disease; RISK

摘要

There is continued debate regarding the exact relation between lower cholesterol levels and increased respiratory disease mortality. One of the goals of this study is to reveal the relationship between subcomponents of cholesterol and pulmonary function. We consider the subcomponents of total cholesterol, namely high-density lipoprotein cholesterol and low-density lipoprotein cholesterol, to investigate the relationship of cholesterol levels with pulmonary function in a longitudinal study. To answer these questions, we propose new methodology for hierarchical reciprocal graphical models. We consider the identification and estimation of these models, and propose maximum likelihood estimation using a generalized EM algorithm. A simulation study of the algorithm and the corresponding estimates reveals excellent performance of the proposed procedures. Application of this methodology to the Normative Aging Study reveals complicated associations between pulmonary function and the subcomponents of total cholesterol.