Flexible tree-structured regression for clustered data with an application to quality of life in older adults
Tree-structured models are a powerful alternative to parametric regression models if non-linear effects and interactions are present in the data. Yet, classical tree-structured models might not be appropriate if data comes in clusters of units, which requires taking the dependence of observations in...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
07 March 2026
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| In: |
Advances in data analysis and classification
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| ISSN: | 1862-5355 |
| DOI: | 10.1007/s11634-026-00666-9 |
| Online Access: | Verlag, kostenfrei, Volltext: https://doi.org/10.1007/s11634-026-00666-9
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| Author Notes: | Nikolai Spuck, Matthias Schmid, Moritz Berger |
| Summary: | Tree-structured models are a powerful alternative to parametric regression models if non-linear effects and interactions are present in the data. Yet, classical tree-structured models might not be appropriate if data comes in clusters of units, which requires taking the dependence of observations into account. This is, for example, the case in cross-national studies, as presented here, where country-specific effects should not be neglected. To address this issue, we present a flexible tree-structured approach that achieves a sparse modeling of unit-specific effects and identifies subgroups (based on individual-level covariates) that differ with regard to the outcome. The methodological advances were motivated by the analysis of quality of life in older adults using data from the survey of Health, Ageing and Retirement in Europe. Application of the proposed model yields promising results and illustrated the accessibility of the approach. A comparison to alternative methods with regard to variable selection and goodness-of-fit was performed in several simulation experiments. The tree-structured model performed well in settings with a low number of units, a large number of observations per unit and a relatively low number of clusters of units. The key advantages of the approach lie in its high explainability and the intuitive interpretability of the results. |
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| Item Description: | Gesehen am 07.04.2026 |
| Physical Description: | Online Resource |
| ISSN: | 1862-5355 |
| DOI: | 10.1007/s11634-026-00666-9 |