Bayesian Evidence Synthesis: New Meta-Analytic Procedures for Statistical Evidence

Eric-Jan Wagenmakers and colleagues developed a suite of meta-analytic techniques for Bayesian evidence synthesis, addressing a series of challenges that currently constrain classical meta-analytic procedures. These techniques include (1) an application of bridge sampling to obtain Bayes factors for random-effects meta-analysis; (2) the computation of Bayes factors for fixed-effect versus random-effects meta-analysis; (3) proposal of an informed prior on study heterogeneity based on a comprehensive literature search; (4) model-averaged evidence across fixed-effect and random-effects meta-analyses, thereby accounting for model-uncertainty; and (5) a proposal for a running power analysis in the field of meta-analysis.

Publications associated with this project:

• Gronau, Quentin Frederik, Henrik Singmann, and Eric-Jan Wagenmakers. “Bridgesampling: An R Package for Estimating Normalizing Constants.” MetaArXiv, December 7, 2017. https://doi.org/10.31222/osf.io/v94h6.
• Scheibehenne, Benjamin, Quentin F. Gronau, Tahira Jamil, and Eric-Jan Wagenmakers. “Fixed or Random? A Resolution Through Model Averaging: Reply to Carlsson, Schimmack, Williams, and Bürkner (2017).” Psychological Science 28, no. 11 (November 1, 2017): 1698–1701. https://doi.org/10.1177/0956797617724426.