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Generalized mixed effects regression trees

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  • Hajjem, Ahlem
  • Larocque, Denis
  • Bellavance, François

Abstract

This paper presents generalized mixed effects regression trees, an extension of mixed effects regression trees to other types of outcomes. A simulation shows that the proposed method provides substantial improvements over standard trees when data are correlated.

Suggested Citation

  • Hajjem, Ahlem & Larocque, Denis & Bellavance, François, 2017. "Generalized mixed effects regression trees," Statistics & Probability Letters, Elsevier, vol. 126(C), pages 114-118.
    • Handle: RePEc:eee:stapro:v:126:y:2017:i:c:p:114-118
    DOI: 10.1016/j.spl.2017.02.033
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    References listed on IDEAS

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    1. Hajjem, Ahlem & Bellavance, François & Larocque, Denis, 2011. "Mixed effects regression trees for clustered data," Statistics & Probability Letters, Elsevier, vol. 81(4), pages 451-459, April.
    2. Bürgin, Reto & Ritschard, Gilbert, 2015. "Tree-based varying coefficient regression for longitudinal ordinal responses," Computational Statistics & Data Analysis, Elsevier, vol. 86(C), pages 65-80.
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    Cited by:

    1. Shuwen Hu & You-Gan Wang & Christopher Drovandi & Taoyun Cao, 2023. "Predictions of machine learning with mixed-effects in analyzing longitudinal data under model misspecification," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 32(2), pages 681-711, June.
    2. Luca Fontana & Chiara Masci & Francesca Ieva & Anna Maria Paganoni, 2021. "Performing Learning Analytics via Generalised Mixed-Effects Trees," Data, MDPI, vol. 6(7), pages 1-31, July.
    3. Tsubasa Ito & Shonosuke Sugasawa, 2023. "Grouped generalized estimating equations for longitudinal data analysis," Biometrics, The International Biometric Society, vol. 79(3), pages 1868-1879, September.
    4. Peter Calhoun & Richard A. Levine & Juanjuan Fan, 2021. "Repeated measures random forests (RMRF): Identifying factors associated with nocturnal hypoglycemia," Biometrics, The International Biometric Society, vol. 77(1), pages 343-351, March.
    5. Anna Gottard & Giulia Vannucci & Leonardo Grilli & Carla Rampichini, 2023. "Mixed-effect models with trees," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 17(2), pages 431-461, June.

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