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Identifying Conditions Favouring Multiplicative Heterogen...
[Submitted on 16 Jan 2026 (v1), last revised 15 Jun 2026 (this v · 2026-06-17 · via stat updates on arXiv.org

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Abstract:Explicit modelling of between-study heterogeneity is essential in network meta-analysis (NMA) to ensure valid inference and avoid overstating precision. While the additive random-effects (RE) model is the conventional approach, the multiplicative-effect (ME) model remains underexplored. The ME model inflates within-study variances by a common factor estimated via weighted least squares, yielding identical point estimates to a fixed-effect model while inflating confidence intervals. We empirically compared RE and ME models across NMAs of two-arm studies with significant heterogeneity from the nmadb database, assessing model fit using the Akaike Information Criterion. The ME model often provided comparable or better fit to the RE model. Case studies further revealed that RE models are sensitive to extreme and imprecise observations, whereas ME models assign less weight to such observations and hence exhibit greater robustness to publication bias. Our results suggest that the ME model warrant consideration alongside conventional RE model in NMA practice.

Submission history

From: Xinlei Xu [view email]
[v1] Fri, 16 Jan 2026 19:35:20 UTC (600 KB)
[v2] Mon, 15 Jun 2026 20:07:54 UTC (2,171 KB)