Positive Association Among Three Binary Variables and Cross-Product Ratios

Stephen E. Fienberg and Sung-Ho Kim

Biometrika, 2007, vol. 94, issue 4, 999-1005

Abstract: 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. Copyright 2007, Oxford University Press.

Date: 2007
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