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Biometrika 1994 81(2):403-408; doi:10.1093/biomet/81.2.403
© 1994 by Biometrika Trust
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MISCELLANEA

A note on the quadratic exponential binary distribution

D. R. COX1 and NANNY WERMUTH2

1Nuffield College Oxford OX1 INF, U. K.
2Psychological Institute, University of Mainz Mainz, D-55099, Germany

The joint distribution of p binary variables is studied in the quadratic exponential form containing only ‘main effects’ and ‘two-factor interactions’ in the log probabilities. Approximate versions of marginalized forms of the distribution are studied based on Taylor expansion and a number of conclusions drawn.

Key Words: Binary data • Log linear model • Multivariate analysis • Yule-Simpson paradox


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