In the framework of mixed-effects models, this paper explores the Three-Tree Mixed-Effects Model for longitudinal data. This model is a semi-parametric extension of the linear mixed-effects model, comprising a linear component and three tree-based components. This approach results in a model capable of handling interactions and nonlinearities while ensuring interpretability. Moreover, we propose an algorithm for estimating model parameters based on the data-carving post-selection inference procedure. The performance of the proposed algorithm is evaluated through a Monte Carlo study. The proposed methodology is applied to a real case study on Amyotrophic Lateral Sclerosis (ALS).

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Enhancing Statistical Inference in Mixed-Effect Three-Tree Model: A Data-Carving Estimation Strategy with an Application on Amyotrophic Lateral Sclerosis Data

  • Giulia Vannucci,
  • Roberta Siciliano,
  • Valentina Iuzzolino,
  • Gianmaria Senerchia,
  • Raffaele Dubbioso

摘要

In the framework of mixed-effects models, this paper explores the Three-Tree Mixed-Effects Model for longitudinal data. This model is a semi-parametric extension of the linear mixed-effects model, comprising a linear component and three tree-based components. This approach results in a model capable of handling interactions and nonlinearities while ensuring interpretability. Moreover, we propose an algorithm for estimating model parameters based on the data-carving post-selection inference procedure. The performance of the proposed algorithm is evaluated through a Monte Carlo study. The proposed methodology is applied to a real case study on Amyotrophic Lateral Sclerosis (ALS).