A Location-Scale Joint Model for Studying the Link Between the Time-Dependent Subject-Specific Variability of Blood

Léonie Courcoul1, Christophe Tzourio1, Mark Woodward2,3

  • 1Univ. Bordeaux, INSERM, Bordeaux Population Health, U1219, France.

Statistics in Medicine
|September 5, 2025
PubMed

Insights

Blood pressure variability is a significant risk factor for cardiovascular and cerebrovascular diseases (CVD). Our new statistical model confirms this link, improving risk prediction for CVD and death.

Area of Science:

  • Biostatistics
  • Epidemiology
  • Cardiovascular Research

Background:

  • Cardio and cerebrovascular diseases (CVD) pose a major public health challenge due to high morbidity and mortality.
  • Elevated blood pressure is a known risk factor, and emerging evidence suggests blood pressure variability may also be an independent predictor.
  • Existing studies on blood pressure variability often have methodological limitations.

Purpose of the Study:

  • To propose and validate a novel joint statistical model for analyzing repeated measures of a marker and competing events.
  • To investigate the association between blood pressure variability and the risk of CVD and all-cause mortality.
  • To demonstrate the importance of accounting for heterogeneous variance in risk prediction models.

Main Methods:

  • Development of a joint location-scale model incorporating a mixed model with subject-specific, time-dependent residual variance and cause-specific proportional intensity models for competing events.
  • The model allows event risk to depend on the current value and slope of the marker trajectory, and its variance.
  • Estimation via maximum likelihood using the Marquardt-Levenberg algorithm, implemented in an R-package and validated by simulation.

Main Results:

  • Application to a large clinical trial on stroke secondary prevention reveals that individual blood pressure variability is associated with the risk of CVD and death.
  • The proposed model demonstrates improved goodness-of-fit and predictive accuracy compared to models that do not account for heterogeneous variance.
  • The findings highlight the clinical relevance of incorporating blood pressure variability into risk assessment.

Conclusions:

  • The developed joint model effectively captures the complex relationship between marker variability and competing risks.
  • Blood pressure variability is confirmed as a significant independent risk factor for CVD and mortality.
  • Accounting for heterogeneous variance is crucial for accurate risk prediction and clinical decision-making in cardiovascular health.

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