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Biometrika Advance Access published online on February 28, 2007

Biometrika, doi:10.1093/biomet/asm015
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Copyright © Biometrika Trust

Inference for clustered data using the independence loglikelihood

Richard E. Chandler and Steven Bate

Department of Statistical Science, University College London, Gower Street, London WC1E 6BT, U.K.

richard{at}stats.ucl.ac.uk

steven.bate{at}uk.zurich.com

Received for publication 1 August 2005. Revision received 1 July 2006.
   Abstract

We use the properties of independence estimating equations to adjust the ‘independence’ loglikelihood function in the presence of clustering. The proposed adjustment relies on the robust sandwich estimator of the parameter covariance matrix, which is easily calculated. The methodology competes favourably with established techniques based on independence estimating equations; we provide some insight as to why this is so. The adjustment is applied to examples relating to the modelling of wind speed in Europe and annual maximum temperatures in the U.K.

Key Words: generalized estimating equation • inference from margins • multivariate extreme • spatio-temporal modelling


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