Estimating equations for parameters in means and covariances of multivariate discrete and continuous responses
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Updated: Sep 21, 2026

Basics of Multivariate Analysis in Neuroimaging Data
Published on: July 24, 2010
1Division of Public Health Sciences, Fred Hutchinson Cancer Research Center, Seattle, Washington 98104.
Abstract:
Generalized estimating equations are introduced in an ad hoc fashion for the covariance matrix of a multivariate response. These equations are to be solved jointly with score equations from a generalized linear model for mean parameters. A class of quadratic exponential models is used to develop joint estimating equations for mean and covariance parameters in a more systematic fashion, and proposals for the use of such equations are developed. Comments on the relative merits of the ad hoc and model-based approaches to estimation are given and a regression illustration with a bivariate response is provided.
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