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Exploring non-linear relationships in adolescent bone research

A research example of using flexible models to examine how the shape of an association changes across a measurement range.

Research case studyArchives of Osteoporosis · 2021

Based on published collaborative research co-authored by Dr Arash Ardalan.

The research question

Is the association between body composition and bone density adequately represented by a straight line?

Study context

The study included 478 Iranian children and adolescents aged 9–18 with DXA measurements. It examined overall body mass and its components in relation to bone-density Z-scores.

Statistical approach

  • Use generalised additive models to assess the shape of the relationships.
  • Examine overall body mass, fat mass and fat-free mass in relation to the outcome.
  • Describe where associations change across the observed measurement range.

What the analysis provided

The paper reported non-linear patterns in the relationships between body composition and bone density, illustrating why one constant slope can be an incomplete description.

The measurements were cross-sectional and came from a specific study population. The reported associations do not establish the effects of changing body composition.

Practical lessons for your project

Inspect the shape
Explore the data and ask whether a linear relationship is a reasonable working assumption.
Justify model flexibility
Choose complexity using the study question, data support and model checks.
Make curves interpretable
Explain the fitted relationship over a meaningful range and show its uncertainty.
Explore statistical support

Original publication

Marjan Jeddi; Arash Ardalan; Seyed Taghi Heydari; Mohammad Hossein Dabbaghmanesh

Non-linear association of body composition and its components with bone density in Iranian children and adolescents

Archives of Osteoporosis · 16(1), 77 · 2021

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