Joint Modelling Approaches to Survival Analysis via Likelihood-Based Boosting Techniques
Joint models are a powerful class of statistical models which apply to any data where event times are recorded alongside a longitudinal outcome by connecting longitudinal and time-to-event data within a joint likelihood allowing for quantification of the association between the two outcomes without...
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Hindawi Limited
2021
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oai:doaj.org-article:fd186089ca9d408f93050b1c5d9146182021-11-29T00:55:38ZJoint Modelling Approaches to Survival Analysis via Likelihood-Based Boosting Techniques1748-671810.1155/2021/4384035https://doaj.org/article/fd186089ca9d408f93050b1c5d9146182021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/4384035https://doaj.org/toc/1748-6718Joint models are a powerful class of statistical models which apply to any data where event times are recorded alongside a longitudinal outcome by connecting longitudinal and time-to-event data within a joint likelihood allowing for quantification of the association between the two outcomes without possible bias. In order to make joint models feasible for regularization and variable selection, a statistical boosting algorithm has been proposed, which fits joint models using component-wise gradient boosting techniques. However, these methods have well-known limitations, i.e., they provide no balanced updating procedure for random effects in longitudinal analysis and tend to return biased effect estimation for time-dependent covariates in survival analysis. In this manuscript, we adapt likelihood-based boosting techniques to the framework of joint models and propose a novel algorithm in order to improve inference where gradient boosting has said limitations. The algorithm represents a novel boosting approach allowing for time-dependent covariates in survival analysis and in addition offers variable selection for joint models, which is evaluated via simulations and real world application modelling CD4 cell counts of patients infected with human immunodeficiency virus (HIV). Overall, the method stands out with respect to variable selection properties and represents an accessible way to boosting for time-dependent covariates in survival analysis, which lays a foundation for all kinds of possible extensions.Colin GriesbachAndreas GrollElisabeth BergherrHindawi LimitedarticleComputer applications to medicine. Medical informaticsR858-859.7ENComputational and Mathematical Methods in Medicine, Vol 2021 (2021) |
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Computer applications to medicine. Medical informatics R858-859.7 |
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Computer applications to medicine. Medical informatics R858-859.7 Colin Griesbach Andreas Groll Elisabeth Bergherr Joint Modelling Approaches to Survival Analysis via Likelihood-Based Boosting Techniques |
description |
Joint models are a powerful class of statistical models which apply to any data where event times are recorded alongside a longitudinal outcome by connecting longitudinal and time-to-event data within a joint likelihood allowing for quantification of the association between the two outcomes without possible bias. In order to make joint models feasible for regularization and variable selection, a statistical boosting algorithm has been proposed, which fits joint models using component-wise gradient boosting techniques. However, these methods have well-known limitations, i.e., they provide no balanced updating procedure for random effects in longitudinal analysis and tend to return biased effect estimation for time-dependent covariates in survival analysis. In this manuscript, we adapt likelihood-based boosting techniques to the framework of joint models and propose a novel algorithm in order to improve inference where gradient boosting has said limitations. The algorithm represents a novel boosting approach allowing for time-dependent covariates in survival analysis and in addition offers variable selection for joint models, which is evaluated via simulations and real world application modelling CD4 cell counts of patients infected with human immunodeficiency virus (HIV). Overall, the method stands out with respect to variable selection properties and represents an accessible way to boosting for time-dependent covariates in survival analysis, which lays a foundation for all kinds of possible extensions. |
format |
article |
author |
Colin Griesbach Andreas Groll Elisabeth Bergherr |
author_facet |
Colin Griesbach Andreas Groll Elisabeth Bergherr |
author_sort |
Colin Griesbach |
title |
Joint Modelling Approaches to Survival Analysis via Likelihood-Based Boosting Techniques |
title_short |
Joint Modelling Approaches to Survival Analysis via Likelihood-Based Boosting Techniques |
title_full |
Joint Modelling Approaches to Survival Analysis via Likelihood-Based Boosting Techniques |
title_fullStr |
Joint Modelling Approaches to Survival Analysis via Likelihood-Based Boosting Techniques |
title_full_unstemmed |
Joint Modelling Approaches to Survival Analysis via Likelihood-Based Boosting Techniques |
title_sort |
joint modelling approaches to survival analysis via likelihood-based boosting techniques |
publisher |
Hindawi Limited |
publishDate |
2021 |
url |
https://doaj.org/article/fd186089ca9d408f93050b1c5d914618 |
work_keys_str_mv |
AT colingriesbach jointmodellingapproachestosurvivalanalysisvialikelihoodbasedboostingtechniques AT andreasgroll jointmodellingapproachestosurvivalanalysisvialikelihoodbasedboostingtechniques AT elisabethbergherr jointmodellingapproachestosurvivalanalysisvialikelihoodbasedboostingtechniques |
_version_ |
1718407810981560320 |