Web of Science: 3 citations, Scopus: 3 citations, Google Scholar: citations
Hierarchical models with normal and conjugate random effects : a review
Molenberghs, Geert (Universiteit Hasselt (Hasselt, Bèlgica). I-BioStat)
Verbeke, Geert (KU Leuven (Leuven, Bèlgica). I-BioStat)
Demétrio, Clarice Garcia Borges (Universidade de São Paulo)

Date: 2017
Abstract: Molenberghs, Verbeke, and Demétrio (2007) and Molenberghs et al. (2010) proposed a general framework to model hierarchical data subject to within-unit correlation and/or overdispersion. The framework extends classical overdispersion models as well as generalized linear mixed models. Subsequent work has examined various aspects that lead to the formulation of several extensions. A unified treatment of the model framework and key extensions is provided. Particular extensions discussed are: explicit calculation of correlation and other moment-based functions, joint modelling of several hierarchical sequences, versions with direct marginally interpretable parameters, zero-inflation in the count case, and influence diagnostics. The basic models and several extensions are illustrated using a set of key examples, one per data type (count, binary, multinomial, ordinal, and time-to-event).
Rights: Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades. Creative Commons
Language: Anglès
Document: Article ; recerca ; Versió publicada
Subject: Conjugacy ; Frailty ; Joint modelling ; Marginalized multilevel model ; Mixed model ; Overdispersion ; Underdispersion ; Variance component ; Zero-inflation
Published in: SORT : statistics and operations research transactions, Vol. 41 Núm. 2 (July-December 2017) , p. 191-254 (Invited articles) , ISSN 2013-8830

Adreça alternativa: https://raco.cat/index.php/SORT/article/view/330280
DOI: 10.2436/20.8080.02.58


64 p, 1.4 MB

The record appears in these collections:
Articles > Published articles > SORT
Articles > Research articles

 Record created 2017-12-21, last modified 2022-06-07



   Favorit i Compartir