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Biometrika 1995 82(2):407-410; doi:10.1093/biomet/82.2.407
© 1995 by Biometrika Trust
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MISCELLANEA

On the use of a working correlation matrix in using generalised linear models for repeated measures

MARTIN CROWDER

Department of Mathematical and Computing Sciences, Surrey University Guildford, GU2 5XH, U.K.

In a seminal paper Liang & Zeger (1986) extended the use of generalised linear models to repeated measures data. They based the analysis on specifications for the means and variances of the observations, as usual for generalised linear models, but showed how specifications for the correlations between measurements made on the same unit could be avoided by using a ‘working’ correlation matrix. In some cases the parameters involved in this matrix are subject to an uncertainty of definition which can lead to a breakdown of the asymptotic properties of the estimators.

Key Words: Asymptotic theory • Estimating equation • generalised linear model • Longitudinal data • Quasi-likelihood • Repeated measures


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