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Pharmaceutical Statistics
Article . 2019 . Peer-reviewed
License: Wiley Online Library User Agreement
Data sources: Crossref
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Nonlinear mixed‐effects models with misspecified random‐effects distribution

Authors: Drikvandi, Reza;

Nonlinear mixed‐effects models with misspecified random‐effects distribution

Abstract

Nonlinear mixed‐effects models are being widely used for the analysis of longitudinal data, especially from pharmaceutical research. They use random effects which are latent and unobservable variables so the random‐effects distribution is subject to misspecification in practice. In this paper, we first study the consequences of misspecifying the random‐effects distribution in nonlinear mixed‐effects models. Our study is focused on Gauss‐Hermite quadrature, which is now the routine method for calculation of the marginal likelihood in mixed models. We then present a formal diagnostic test to check the appropriateness of the assumed random‐effects distribution in nonlinear mixed‐effects models, which is very useful for real data analysis. Our findings show that the estimates of fixed‐effects parameters in nonlinear mixed‐effects models are generally robust to deviations from normality of the random‐effects distribution, but the estimates of variance components are very sensitive to the distributional assumption of random effects. Furthermore, a misspecified random‐effects distribution will either overestimate or underestimate the predictions of random effects. We illustrate the results using a real data application from an intensive pharmacokinetic study.

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United Kingdom
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Keywords

longitudinal data, Time Factors, Statistics & Probability, random-effects distribution, Administration, Oral, 310, Theophylline, Humans, Pharmacology & Pharmacy, Anti-Asthmatic Agents, Longitudinal Studies, nonlinear mixed-effects models, Likelihood Functions, Science & Technology, Models, Statistical, prediciton, variance-components, Gauss-Hermite quadrature, Biological Variation, Population, Nonlinear Dynamics, diagnostic test, statistics, Research Design, Data Interpretation, Statistical, Physical Sciences, Life Sciences & Biomedicine, Mathematics

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Top 10%
Average
Average
Green
bronze
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