Collapsing multiway contingency tables: Simpson’s paradox and homogenization

doi:10.3758/BF03204813

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Collapsing multiway contingency tables: Simpson’s paradox and homogenization

J. R. Vokey

Jun 1, 1997

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Journal

Behavior Research Methods, Instruments, & Computers

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Key Takeaway

Key Takeaway: The extension of the iterative proportional fitting algorithm can homogenize collapsing multiway contingency tables, reducing the impact of nonadditivity and preventing Simpson's paradox.

Abstract

Simpson’s paradox results from the collapsing of multiway contingency tables in the presence of nonadditivity. An extension of the iterative proportional fitting algorithm (Deming & Stephan, 1940) is described that may be used to homogenize such tables to produce the required additivity over the unwanted (collapsed-over) effects.

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