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Title: | A hierarchical Bayesian approach for the analysis of longitudinal count data with overdispersion: A simulation study | Authors: | AREGAY, Mehreteab SHKEDY, Ziv MOLENBERGHS, Geert |
Issue Date: | 2013 | Publisher: | ELSEVIER SCIENCE BV | Source: | COMPUTATIONAL STATISTICS & DATA ANALYSIS, 57 (1), p. 233-245 | Abstract: | In sets of count data, the sample variance is often considerably larger or smaller than the sample mean, known as a problem of over- or underdispersion. The focus is on hierarchical Bayesian modeling of such longitudinal count data. Two different models are considered. The first one assumes a Poisson distribution for the count data and includes a subject-specific intercept, which is assumed to follow a normal distribution, to account for subject heterogeneity. However, such a model does not fully address the potential problem of extra-Poisson dispersion. The second model, therefore, includes also random subject and time dependent parameters, assumed to be gamma distributed for reasons of conjugacy. To compare the performance of the two models, a simulation study is conducted in which the mean squared error, relative bias, and variance of the posterior means are compared. (C) 2012 Elsevier B.V. All rights reserved. | Notes: | [Shkedy, Ziv; Molenberghs, Geert] Univ Hasselt, I BioStat, B-3590 Diepenbeek, Belgium. [Aregay, Mehreteab; Molenberghs, Geert] Katholieke Univ Leuven, I BioStat, Louvain, Belgium. geert.molenberghs@uhasselt.be | Keywords: | Computer Science, Interdisciplinary Applications; Statistics & Probability; deviance information criteria; Hierarchical Poisson-Normal model (HPN); Hierarchical Poisson-Normal overdispersed model (HPNOD); overdispersion;Deviance information criteria; Hierarchical Poisson-Normal model (HPN); Hierarchical Poisson-Normal overdispersed model (HPNOD); Overdispersion | Document URI: | http://hdl.handle.net/1942/14593 | ISSN: | 0167-9473 | e-ISSN: | 1872-7352 | DOI: | 10.1016/j.csda.2012.06.020 | ISI #: | 000310403700017 | Rights: | © 2012 Elsevier B.V. All rights reserved | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2013 |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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simuldraftv12.pdf | Peer-reviewed author version | 213.82 kB | Adobe PDF | View/Open |
ziv.pdf Restricted Access | Published version | 484.51 kB | Adobe PDF | View/Open Request a copy |
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