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Nevin Manimala Statistics

Finite Mixtures of Multivariate t $$ t $$ Linear Mixed-Effects Models for Censored Longitudinal Data With Concomitant Covariates

Stat Med. 2026 Jan;45(1-2):e70392. doi: 10.1002/sim.70392.

ABSTRACT

Clustering longitudinal biomarkers in clinical trials uncovers associations between clinical outcomes, disease progression, and treatment effects. Finite mixtures of multivariate t $$ t $$ linear mixed-effects (FM-MtLME) models have proven effective for modeling and clustering multiple longitudinal trajectories that exhibit grouped patterns with strong within-group similarity. Motivated by an AIDS study with plasma viral loads measured under assay-specific detection limits, this article extends the FM-MtLME model to account for censored outcomes. The proposed model is called the FM-MtLME with censoring (FM-MtLMEC). To allow covariate-dependent mixing proportions, we further extend it with a logistic link, resulting in the EFM-MtLMEC model. Two efficient EM-based algorithms are developed for parameter estimation of both FM-MtLMEC and EFM-MtLMEC models. The utility of our methods is demonstrated through comprehensive analyses of the AIDS data and simulation studies.

PMID:41569638 | DOI:10.1002/sim.70392

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