Empirical and counterfactual conditions for su ¢ cient cause interactions

نویسنده

  • JAMES M. ROBINS
چکیده

1 Summary Su¢ cient-component causes are discussed within the deterministic potential outcomes framework so as to formalize notions of su¢ cient causes, synergism and su¢ cient cause interactions. Doing so allows for the derivation of counterfactual and empirical conditions for detecting the presence of su¢ cient cause interactions. The conditions are novel in that, unlike other conditions in the literature, they make no assumptions about monotonicity. The conditions can also be generalized and the conditions for three-way su¢ cient cause interactions are given explicitly. The statistical tests derived for su¢ cient cause interactions are compared with and contrasted to interaction terms in standard statistical models.

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تاریخ انتشار 2007