Open AccessAddressing cluster-constant covariates in mixed effects models via likelihood-based boosting techniques
Author(s) -
Colin Griesbach,
Andreas Groll,
Elisabeth Bergherr
Publication year - 2021
Publication title -
plos one
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.99
H-Index - 332
ISSN - 1932-6203
DOI - 10.1371/journal.pone.0254178
Subject(s) - boosting (machine learning) , covariate , gradient boosting , inference , computer science , feature selection , random effects model , statistical inference , artificial intelligence , generalized linear mixed model , machine learning , statistics , mathematics , econometrics , random forest , medicine , meta analysis
Boosting techniques from the field of statistical learning have grown to be a popular tool for estimating and selecting predictor effects in various regression models and can roughly be separated in two general approaches, namely gradient boosting and likelihood-based boosting. An extensive framework has been proposed in order to fit generalized mixed models based on boosting, however for the case of cluster-constant covariates likelihood-based boosting approaches tend to mischoose variables in the selection step leading to wrong estimates. We propose an improved boosting algorithm for linear mixed models, where the random effects are properly weighted, disentangled from the fixed effects updating scheme and corrected for correlations with cluster-constant covariates in order to improve quality of estimates and in addition reduce the computational effort. The method outperforms current state-of-the-art approaches from boosting and maximum likelihood inference which is shown via simulations and various data examples.