Positive association among three binary variables and cross-product ratios

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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.
Publisher
OXFORD UNIV PRESS
Issue Date
2007-12
Language
English
Article Type
Article
Keywords

CAUSAL INFERENCE; CLASSIFICATIONS; STATISTICS; MODELS

Citation

BIOMETRIKA, v.94, no.4, pp.999 - 1005

ISSN
0006-3444
DOI
10.1093/biomet/asm075
URI
http://hdl.handle.net/10203/88583
Appears in Collection
MA-Journal Papers(저널논문)
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