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http://hdl.handle.net/1942/33502
Title: | A copula-based approach to joint modelling of multiple longitudinal responses with multimodal structures | Authors: | Mahdiyeh, Zahra Kazemi, Iraj VERBEKE, Geert |
Issue Date: | 2022 | Publisher: | SAGE PUBLICATIONS LTD | Source: | STATISTICAL MODELLING, 22(4), p. 327-348 | Abstract: | This article introduces a flexible modelling strategy to extend the familiar mixed-effects models for analysing longitudinal responses in the multivariate setting. By initiating a flexible multivariate multimodal distribution, this strategy relaxes the imposed normality assumption of related random-effects. We use copulas to construct a multimodal form of elliptical distributions. It can deal with the multimodality of responses and the non-linearity of dependence structure. Moreover, the proposed model can flexibly accommodate clustered subject-effects for multiple longitudinal measurements. It is much useful when several subpopulations exist but cannot be directly identifiable. Since the implied marginal distribution is not in the closed form, to approximate the associated likelihood functions, we suggest a computational methodology based on the Gauss-Hermite quadrature that consequently enables us to implement standard optimization techniques. We conduct a simulation study to highlight the main properties of the theoretical part and make a comparison with regular mixture distributions. Results confirm that the new strategy deserves to receive attention in practice. We illustrate the usefulness of our model by the analysis of a real-life dataset taken from a low back pain study. | Notes: | Kazemi, I (corresponding author), Univ Isfahan, Fac Math & Stat, Dept Stat, Esfahan 81746, Iran. i.kazemi@stat.ui.ac.ir |
Other: | Kazemi, I (corresponding author), Univ Isfahan, Fac Math & Stat, Dept Stat, Esfahan 81746, Iran. i.kazemi@stat.ui.ac.ir | Keywords: | clustered random-effects;Copula function;gaussian quadrature;low-back pain;multiple longitudinal responses;multimodality;non-linear dependence | Document URI: | http://hdl.handle.net/1942/33502 | ISSN: | 1471-082X | e-ISSN: | 1477-0342 | DOI: | 10.1177/1471082X20967168 | ISI #: | 000604118200001 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2022 |
Appears in Collections: | Research publications |
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File | Description | Size | Format | |
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Mahdiyeh et al. SMJ 2020b.pdf | Peer-reviewed author version | 1.57 MB | Adobe PDF | View/Open |
mahdiyeh-et-al-2020-a-copula-based-approach-to-joint-modelling-of-multiple-longitudinal-responses-with-multimodal (2).pdf Restricted Access | Published version | 2.97 MB | Adobe PDF | View/Open Request a copy |
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