Bounds on causal effects in 2K factorial experiments with noncompliance

• 成果类型: Article
• 署名作者: Blackwell, M.; Pashley, N. E.
• 署名单位: Harvard University; Rutgers University System; Rutgers University New Brunswick
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444; 1464-3510
• DOI: 10.1093/biomet/asaf084
• 发表日期: 2026
• 页码: asaf084
• 关键词: Bound; Causal Inference; Factorial experiment; instrumental variable; noncompliance

摘要

Factorial experiments are ubiquitous in the social and biomedical sciences, but when units fail to comply with each assigned factor, identification and estimation of the average treatment effects become impossible without strong assumptions. Leveraging an instrumental variables approach, previous studies have shown how to define and estimate the causal effect of treatment uptake among respondents who comply with treatment. A major caveat is that these results rely on strong assumptions on the effect of randomization on treatment uptake. This work shows how to bound these complier average treatment effects for bounded outcomes under milder assumptions on noncompliance.