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Multilevel modelling of complex survey data - …

2006 Royal Statistical Society0964 1998/06/169805J. R. Statist. (2006)169,Part4, 827 Multilevel modelling of complex survey dataSophia Rabe-HeskethUniversity of California, Berkeley, USA, and Institute of Education, London, UKand Anders SkrondalLondon School of Economics and Political Science, London, UK, and Norwegian Instituteof Public Health, Oslo, Norway[Received April 2005. Revised December 2005] modelling is sometimes used for data from complex surveys involvingmultistage sampling, unequal sampling probabilities and stratification. We consider generalizedlinear mixed models and particularly the case of dichotomous responses. A pseudolikelihoodapproach for accommodating inverse probability weights in Multilevel models with an arbitrarynumber of levels is implemented by using adaptive quadrature.

Modelling Complex Survey Data 807 variance (e.g. Skrondal and Rabe-Hesketh (2004), page 125). We conjecture that these mar-ginal effects will be less biased and less affected by the scaling of the level 1 weights than the

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