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Flexible piecewise linear model for investigating dose-response relationship in meta-analysis: Methodology, examples,
Chang Xu1, Lehana Thabane2,3, Tongzu Liu4
1Chinese Evidence-Based Medicine Center and Chinese Cochrane Center, West China Hospital, Sichuan University, Chengdu, PR China.
A new piecewise linear dose-response meta-analysis (DRMA) model effectively analyzes discrete exposures, outperforming simple linear models for non-linear trends. This method offers a valid alternative for establishing dose-response relationships.
Area of Science:
- Epidemiology
- Biostatistics
- Public Health
Background:
- Dose-response meta-analysis (DRMA) is crucial for understanding exposure-outcome relationships.
- Existing DRMA methods are limited for discrete exposures, particularly with non-linear trends.
Purpose of the Study:
- To introduce and validate a piecewise linear DRMA model for discrete exposures.
- To address limitations of linear models in capturing complex dose-response patterns.
Main Methods:
- Developed and illustrated one-stage and two-stage piecewise linear DRMA models.
- Employed slope equality tests to identify "piecewise effects" versus linear trends.
- Applied the model to sleep and parity data, comparing with linear and restricted cubic spline models.
Main Results:
- Both one-stage and two-stage piecewise linear DRMA models demonstrated good fit and similar results.
- Significant "piecewise effects" were detected, indicating non-linear relationships.
- The piecewise linear model showed improved fitting and reliable results compared to the simple linear model.
Conclusions:
- Piecewise linear DRMA is a valid and practical method for discrete exposures, especially when linear models are inadequate.
- It offers a superior alternative to linear models and a comparable alternative to non-linear models in DRMA.
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The process of RSM involves several key steps:
Piecewise-Defined Functions