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Main Authors: Xu, Xinlei, Daly, Caitlin H, Béliveau, Audrey
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2601.11735
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author Xu, Xinlei
Daly, Caitlin H
Béliveau, Audrey
author_facet Xu, Xinlei
Daly, Caitlin H
Béliveau, Audrey
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2601_11735
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Identifying Conditions Favouring Multiplicative Heterogeneity Models in Network Meta-Analysis
Xu, Xinlei
Daly, Caitlin H
Béliveau, Audrey
Methodology
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.
title Identifying Conditions Favouring Multiplicative Heterogeneity Models in Network Meta-Analysis
topic Methodology
url https://arxiv.org/abs/2601.11735