Positive association among three binary variables and cross-product ratios

• 成果类型: Article
• 署名作者: Fienberg, Stephen E.; Kim, Sung-Ho
• 署名单位: Carnegie Mellon University; Korea Advanced Institute of Science & Technology (KAIST)
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/asm075
• 发表日期: 2007
• 页码: 9991005
• 关键词: Causal Inference; CLASSIFICATIONS; statistics; models

摘要

We show that, when the three-way association level among the three binary variables, X, U-1 and U-2 is fixed, D-P = pr( X = 1 | U-1 = 1) - pr( X = 1 | U-1 = 0) increases as the cross-product ratio of U-1 and U-2 increases under the assumption that X is positively associated with U-1 and U-2. We then discuss some implications of this property.