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http://hdl.handle.net/1942/26338
Title: | Hierarchical models with normal and conjugate random effects: a review | Authors: | MOLENBERGHS, Geert VERBEKE, Geert DEMETRIO, Clarice |
Issue Date: | 2017 | Publisher: | INST ESTADISTICA CATALUNYA-IDESCAT | Source: | SORT-STATISTICS AND OPERATIONS RESEARCH TRANSACTIONS, 41(2), p. 191-253 | Abstract: | Molenberghs, Verbeke, and Demetrio (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. Subsequentwork 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). | Notes: | [Molenberghs, Geert; Verbeke, Geert] Univ Hasselt, I BioStat, Martelarenlaan 42, B-3500 Hasselt, Belgium. [Molenberghs, Geert; Verbeke, Geert] Katholieke Univ Leuven, I BioStat, B-3000 Leuven, Belgium. [Demetrio, Clarice G. B.] Univ Sao Paulo, ESALQ, Piracicaba, Brazil. | Keywords: | Conjugacy; frailty; jointmodelling; marginalized multilevel model; mixed model; overdispersion; underdispersion; variance component; zero-inflation;conjugacy; frailty; jointmodelling; marginalized multilevel model; mixed model; overdispersion; underdispersion; variance component; zero-inflation | Document URI: | http://hdl.handle.net/1942/26338 | ISSN: | 1696-2281 | e-ISSN: | 2013-8830 | DOI: | 10.2436/20.8080.02.58 | ISI #: | 000418880800001 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2019 |
Appears in Collections: | Research publications |
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molenberghs 1.pdf | Published version | 1.42 MB | Adobe PDF | View/Open |
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