When a joint model should be preferred over a linear mixed model for analysis of longitudinal health-related quality of life data in cancer clinical trials

Abstract Background Patient-reported outcomes such as health-related quality of life (HRQoL) are increasingly used as endpoints in randomized cancer clinical trials. However, the patients often drop out so that observation of the HRQoL longitudinal outcome ends prematurely, leading to monotone missi...

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Main Authors: Célia Touraine, Benjamin Cuer, Thierry Conroy, Beata Juzyna, Sophie Gourgou, Caroline Mollevi
Format: Article
Language:English
Published: BMC 2023-02-01
Series:BMC Medical Research Methodology
Subjects:
Online Access:https://doi.org/10.1186/s12874-023-01846-3
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author Célia Touraine
Benjamin Cuer
Thierry Conroy
Beata Juzyna
Sophie Gourgou
Caroline Mollevi
author_facet Célia Touraine
Benjamin Cuer
Thierry Conroy
Beata Juzyna
Sophie Gourgou
Caroline Mollevi
author_sort Célia Touraine
collection DOAJ
description Abstract Background Patient-reported outcomes such as health-related quality of life (HRQoL) are increasingly used as endpoints in randomized cancer clinical trials. However, the patients often drop out so that observation of the HRQoL longitudinal outcome ends prematurely, leading to monotone missing data. The patients may drop out for various reasons including occurrence of toxicities, disease progression, or may die. In case of informative dropout, the usual linear mixed model analysis will produce biased estimates. Unbiased estimates cannot be obtained unless the dropout is jointly modeled with the longitudinal outcome, for instance by using a joint model composed of a linear mixed (sub)model linked to a survival (sub)model. Our objective was to investigate in a clinical trial context the consequences of using the most frequently used linear mixed model, the random intercept and slope model, rather than its corresponding joint model. Methods We first illustrate and compare the models on data of patients with metastatic pancreatic cancer. We then perform a more formal comparison through a simulation study. Results From the application, we derived hypotheses on the situations in which biases arise and on their nature. Through the simulation study, we confirmed and complemented these hypotheses and provided general explanations of the bias mechanisms. Conclusions In particular, this article reveals how the linear mixed model fails in the typical situation where poor HRQoL is associated with an increased risk of dropout and the experimental treatment improves survival. Unlike the joint model, in this situation the linear mixed model will overestimate the HRQoL in both arms, but not equally, misestimating the difference between the HRQoL trajectories of the two arms to the disadvantage of the experimental arm.
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spelling doaj.art-2fb623bd4c5749f4957ebbb7bcc2f1392023-02-12T12:15:27ZengBMCBMC Medical Research Methodology1471-22882023-02-0123111510.1186/s12874-023-01846-3When a joint model should be preferred over a linear mixed model for analysis of longitudinal health-related quality of life data in cancer clinical trialsCélia Touraine0Benjamin Cuer1Thierry Conroy2Beata Juzyna3Sophie Gourgou4Caroline Mollevi5Biometrics Unit, Cancer Institute of Montpellier, University of MontpellierBiometrics Unit, Cancer Institute of Montpellier, University of MontpellierDepartment of Medical Oncology, Institut de cancérologie de LorraineR&D UnicancerBiometrics Unit, Cancer Institute of Montpellier, University of MontpellierBiometrics Unit, Cancer Institute of Montpellier, University of MontpellierAbstract Background Patient-reported outcomes such as health-related quality of life (HRQoL) are increasingly used as endpoints in randomized cancer clinical trials. However, the patients often drop out so that observation of the HRQoL longitudinal outcome ends prematurely, leading to monotone missing data. The patients may drop out for various reasons including occurrence of toxicities, disease progression, or may die. In case of informative dropout, the usual linear mixed model analysis will produce biased estimates. Unbiased estimates cannot be obtained unless the dropout is jointly modeled with the longitudinal outcome, for instance by using a joint model composed of a linear mixed (sub)model linked to a survival (sub)model. Our objective was to investigate in a clinical trial context the consequences of using the most frequently used linear mixed model, the random intercept and slope model, rather than its corresponding joint model. Methods We first illustrate and compare the models on data of patients with metastatic pancreatic cancer. We then perform a more formal comparison through a simulation study. Results From the application, we derived hypotheses on the situations in which biases arise and on their nature. Through the simulation study, we confirmed and complemented these hypotheses and provided general explanations of the bias mechanisms. Conclusions In particular, this article reveals how the linear mixed model fails in the typical situation where poor HRQoL is associated with an increased risk of dropout and the experimental treatment improves survival. Unlike the joint model, in this situation the linear mixed model will overestimate the HRQoL in both arms, but not equally, misestimating the difference between the HRQoL trajectories of the two arms to the disadvantage of the experimental arm.https://doi.org/10.1186/s12874-023-01846-3Joint modelInformative dropoutLinear mixed modelRandom intercept and slope modelHealth-related quality of lifeLongitudinal outcome
spellingShingle Célia Touraine
Benjamin Cuer
Thierry Conroy
Beata Juzyna
Sophie Gourgou
Caroline Mollevi
When a joint model should be preferred over a linear mixed model for analysis of longitudinal health-related quality of life data in cancer clinical trials
BMC Medical Research Methodology
Joint model
Informative dropout
Linear mixed model
Random intercept and slope model
Health-related quality of life
Longitudinal outcome
title When a joint model should be preferred over a linear mixed model for analysis of longitudinal health-related quality of life data in cancer clinical trials
title_full When a joint model should be preferred over a linear mixed model for analysis of longitudinal health-related quality of life data in cancer clinical trials
title_fullStr When a joint model should be preferred over a linear mixed model for analysis of longitudinal health-related quality of life data in cancer clinical trials
title_full_unstemmed When a joint model should be preferred over a linear mixed model for analysis of longitudinal health-related quality of life data in cancer clinical trials
title_short When a joint model should be preferred over a linear mixed model for analysis of longitudinal health-related quality of life data in cancer clinical trials
title_sort when a joint model should be preferred over a linear mixed model for analysis of longitudinal health related quality of life data in cancer clinical trials
topic Joint model
Informative dropout
Linear mixed model
Random intercept and slope model
Health-related quality of life
Longitudinal outcome
url https://doi.org/10.1186/s12874-023-01846-3
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