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Testing implication of hierarchical log-linear models for probability distributions

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Abstract

The problem of the logical implication between two hierarchical log-linear models is proved to be equivalent to the problem of deciding whether their generating classes satisfy the graphtheoretic condition of hinging. Moreover, a polynomial-time procedure is worked out to test implication.

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Malvestuto, F.M. Testing implication of hierarchical log-linear models for probability distributions. Stat Comput 6, 169–176 (1996). https://doi.org/10.1007/BF00162528

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