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Biometrika 2003 90(2):455-463; doi:10.1093/biomet/90.2.455
© 2003 by Biometrika Trust
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A family of multivariate binary distributions for simulating correlated binary variables with specified marginal means and correlations

Bahjat F.Qaqish1

1 Department of Biostatistics, University of North Carolina at Chapel Hill, Chapel Hill, North Carolina 27599-7420, U.S.Abahjat_qaqish{at}unc.edu

We introduce a family of multivariate binary distributions with certain conditional linear property.This family is particularly useful for efficient and easy simulation of correlated binary variables with a given marginal mean vector and correlation matrix.

Key Words: Autoregressive correlation structure; Clustered data; Correlated Bernoulli variates; Exchangeable correlation structure; Simulation

Received May 2001. Revised April 2002


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