Growth Data Modeled with Bayesian and Mixed-Effects Statistics

The question

How do clinical measures change over time, and how much of that comes from the individual rather than the group? An average alone hides what’s happening in a single person.

What the data showed

Hierarchical models captured both the shared trajectory and the variation between people. The non-linear relationships between growth and clinical variables became clear, and the uncertainty was shown with credible intervals instead of tucked away.

What it could be used for

A picture of developmental trajectories across clinical subgroups, where you could see how certain the numbers were before making a decision.

Tools

R with brms, lme4, and tidybayes. Posterior predictive checks and model diagnostics. Visual communication with ggplot2 and posterior, and reproducible scripts throughout.

The same approach works whenever you want to follow a group over time and separate the general pattern from the individual — for example pupils’ progress, customer behaviour, or measurements across sites.

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