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Biometrika 1990 77(3):642-648; doi:10.1093/biomet/77.3.642
© 1990 by Biometrika Trust
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Miscellanea

Correlated binary regression using a quadratic exponential model

LUE PING ZHAO and ROSS L. PRENTICE

Division of Public Health Sciences, Fred Hutchinson Cancer Research Center Seattle,Washington, 98104, U.S.A.

A model of quadratic exponential form is parameterized in terms of marginal means and pairwise correlations for the regression analysis of correlated binary data. Pseudo-maximum likelihood methods using a special case termed the multiplicative model are proposed, but are noted to be computationally unattractive if the ‘blocks’ of correlated responses are at all large. On the other hand score estimating functions for mean and correlation parameters are shown to be of a particularly simple form under the quadratic exponential family. Special cases of such estimating functions having attractive computational properties are identified and illustrated.

Key Words: Binary regression • Correlated binary data • Estimating function • Multiplicative model • Pseudo-maximum likelihood • Quadratic exponential model


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