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September 15, 2026The American StatisticianOpen Access

Evaluation of robust Bayesian mixed-effects models of longitudinal childhood BMI

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Authors

JHJordan HedgesUniversity of SurreySCSarah R. CrozierUniversity Hospital Southampton NHS Foundation TrustACAdam CollinsUniversity of Surrey

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Implication

Longitudinal cohort analysis reveals robust fit for fractional polynomial and Laplace models of childhood BMI, highlighting the value of personalized tracking for early obesity intervention.

Key Points

  • To evaluate robust Bayesian mixed-effects models for characterizing longitudinal childhood body mass index trajectories from birth to age 13 across multiple cohorts.
  • Evaluated Fractional Polynomials, Reed2, and Breakpoint models using longitudinal data from three cohorts spanning birth to 13 years of age.
  • Assessed model performance based on bias, heteroskedasticity, and Bayesian goodness-of-fit across five likelihood functions, including Laplace and normal distributions.
  • Decomposed body mass index variance into fixed effects, random effects, and residual error using a Bayesian marginal posterior sampling approach.
  • Fractional Polynomials and Reed2 models outperformed Breakpoint models in modeling non-linear growth trajectories, with residual errors accounting for less than 10% of total variance.
  • The independent Laplace likelihood provided the most robust fit among all tested distributions, outperforming a normal likelihood with stationary correlation.
  • Random effects explained the vast majority of variance in body mass index, demonstrating substantial individual heterogeneity across child growth trajectories.

Cite This Study

Hedges et al. (2026) studied this question.

synapsesocial.com/papers/6aa913ba9013453be30a1d0ehttps://doi.org/10.1080/00031305.2026.2730371
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