Induced Dependence, Factor Interaction, and Discriminating Between Causal Structures
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Properties of a collider, i.e., a model in which two independent variables (causes or factors) exert influence on a third variable (effect) are analyzed. It is shown that, as a result of conditioning on the effect, its causes usually become mutually dependent. Induced (provoked) dependence is studied quantitatively, a close relationship between induced dependence and factor interaction is revealed, and a new index of interaction of two factors is proposed. The efficiency of applying induced dependence to the identification of orientations of links and revealing of masked links (edges) of the model is shown.
Keywordsconditional independence induced (provoked) dependence collider factor interaction masked edge identification of links orientation of links
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