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High dimensional multivariate mixed models for binary questionnaire data
Authors:Steffen Fieuws  Geert Verbeke  Filip Boen  Christophe Delecluse
Institution:Katholieke Universiteit Leuven, Belgium
Abstract:Summary.  Questionnaires that are used to measure the effect of an intervention often consist of different sets of items, each set possibly measuring another concept. Mixed models with set-specific random effects are a flexible tool to model the different sets of items jointly. However, computational problems typically arise as the number of sets increases. This is especially true when the random-effects distribution cannot be integrated out analytically, as with mixed models for binary data. A pairwise modelling strategy, in which all possible bivariate mixed models are fitted and where inference follows from pseudolikelihood theory, has been proposed as a solution. This approach has been applied to assess the effect of physical activity on psychocognitive functioning, the latter measured by a battery of questionnaires.
Keywords:Generalized linear mixed model  High dimensional mixed model  Joint model  Multidimensional item response theory model  Multivariate mixed model  Pseudolikelihood
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