Directed acyclic graphs with edge-specific bounds

• 成果类型: Article
• 署名作者: Vanderweele, Tyler J.; Tan, Zhiqiang
• 署名单位: Harvard University; Harvard T.H. Chan School of Public Health; Rutgers University System; Rutgers University New Brunswick
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/asr059
• 发表日期: 2012
• 页码: 115126
• 关键词: causal diagrams; INDEPENDENCE; networks

摘要

We give a definition of a bounded edge within the causal directed acyclic graph framework. A bounded edge generalizes the notion of a signed edge and is defined in terms of bounds on a ratio of survivor probabilities. We derive rules concerning the propagation of bounds. Bounds on causal effects in the presence of unmeasured confounding are also derived using bounds related to specific edges on a graph. We illustrate the theory developed by an example concerning estimating the effect of antihistamine treatment on asthma in the presence of unmeasured confounding.