From Generative Network Models to Statistical Evidence: A Simulation Study of Bayesian Evidence Synthesis and Hierarchical Modelling

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2025-09-23

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en

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Abstract This thesis compares the performance of Bayesian Evidence Synthesis (BES) and Bayesian Hierarchical Modelling (BHM). BES is a novel method for performing meta-analysis when traditional meta-analysis might not be feasible. This can be useful in settings such as generative network modelling, where transforming effect sizes onto a common scale is not always possible. Due to BES aggregating evidence from individual studies, it does not require such transformations. However, it also does not model between-study variance, whereas BHM does. This study, therefore, examines how Bayesian Evidence Synthesis behaves in comparison to BHM, using a linear regression model under differing levels of: between-study heterogeneity, correlation, effect size differences, and the number of studies. It was found that increased heterogeneity can lead BES to give greater support to either the correct or the incorrect hypothesis, depending on the conditions, and that introducing correlation may amplify this effect even further. Whereas correlation by itself seems to affect both models similarly. The findings highlight both the potential and the limitations of BES as an alternative to traditional meta-analysis, particularly in research domains such as generative network modelling. Recommendations and directions for future work are provided, including the need for frameworks that can apply BES in more practical GNM settings.

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Faculteit der Sociale Wetenschappen