Abstract

Generalized linear mixed models have been widely used in correlated data analysis. The applicability of these models is, however, hampered when data possess multilevel complex association structures. For instance, for longitudinal data arising in clusters, modelling complexity is a serious issue, and it is desirable to develop flexible models that are both computationally manageable and interpretatively meaningful. For these purposes, we propose a new class of flexible models, pairwise generalized linear mixed models, to facilitate correlated data that may possess multilevel complex association structures. Inferential procedures are developed to accommodate the proposed modelling framework, and asymptotic properties of the proposed method are established. The proposed models are evaluated through numerical studies. Copyright © 2017 John Wiley & Sons, Ltd.

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