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Basics of Multivariate Analysis in Neuroimaging Data
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Probabilistic Clustering Using Multivariate Growth Mixture Model in Clinical Settings-A Scleroderma Example.

Ji Soo Kim1, Yizhen Xu2, Rachel S Wallwork1

  • 1Division of Rheumatology, Johns Hopkins University School of Medicine, Baltimore, MD, USA.

Statistics in Medicine
|February 13, 2026
PubMed
Summary
This summary is machine-generated.

This study identifies two scleroderma (systemic sclerosis; SSc) patient subgroups: a stable group and a progressor group with declining lung function. The developed algorithm predicts SSc progression for better clinical decisions.

Keywords:
Bayesian hierarchical modelsmultivariate growth mixture modelingsclerodermasequentially‐updating algorithmtrend‐based cluster membership

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Area of Science:

  • Immunology
  • Rheumatology
  • Pulmonology

Background:

  • Scleroderma (systemic sclerosis; SSc) is a heterogeneous autoimmune disease with variable progression across organ systems.
  • Accurate patient stratification is crucial for guiding clinical care and managing SSc.
  • Understanding disease trajectory aids in predicting outcomes and tailoring treatments.

Purpose of the Study:

  • To classify patients with SSc into clinically meaningful subpopulations.
  • To develop a real-time classification framework based on baseline characteristics and disease progression patterns.
  • To guide clinical care by identifying patients at risk for rapid disease progression.

Main Methods:

  • A Bayesian multivariate growth mixture model was employed to analyze lung function trajectories.
  • Forced vital capacity (FVC) and diffusing capacity for carbon monoxide (DLCO) were jointly modeled in 289 SSc patients.
  • A framework was developed to sequentially update patient subgroup probabilities using longitudinal data.

Main Results:

  • Two distinct patient subgroups were identified: a
  • stable
  • group (n=150) with minimal lung function change over 10 years.
  • A
  • progressor
  • group (n=139) exhibited significant decline in FVC and DLCO soon after disease onset.
  • The algorithm calculates the probability of belonging to the progressor group using baseline data and longitudinal FVC/DLCO measurements.

Conclusions:

  • The developed method enables baseline probability calculation for rapid progression, updated sequentially with accumulating patient data.
  • This approach facilitates early identification of patients likely to experience rapid disease decline.
  • Sequential data integration and classification hold potential for improving clinical decision-making and patient outcomes in SSc.