55 citations · 99 across the 9 of their papers we have counts for
11 papers
The Principle of Redundant Reflection
Martin Metodiev, Maarten Marsman, Lourens Waldorp +2
The fact that redundant information does not update a rational belief implies that rational beliefs are updated using Bayes rule. In the framework of Hild (1998a), this is true und…
J. B. S. Haldane's Rule of Succession
Eric-Jan Wagenmakers, Sandy Zabell, Quentin F. Gronau
After Bayes, the oldest Bayesian account of enumerative induction is given by Laplace's so-called rule of succession: if all observed instances of a phenomenon to date exhibit…
Empirical prior distributions for Bayesian meta-analyses of binary and time to event outcomes
František Bartoš, Willem M. Otte, Quentin F. Gronau +3
Bayesian model-averaged meta-analysis allows quantification of evidence for both treatment effectiveness and across-study heterogeneity . We use the Cochrane Database of Sys…
Bayesian Model-Averaged Meta-Analysis in Medicine
František Bartoš, Quentin F. Gronau, Bram Timmers +3
We outline a Bayesian model-averaged meta-analysis for standardized mean differences in order to quantify evidence for both treatment effectiveness and across-study heterogenei…
A Puzzle of Proportions: Two Popular Bayesian Tests Can Yield Dramatically Different Conclusions
Fabian Dablander, Karoline Huth, Quentin F. Gronau +2
Testing the equality of two proportions is a common procedure in science, especially in medicine and public health. In these domains it is crucial to be able to quantify evidence f…
Informed Bayesian Inference for the A/B Test
Quentin F. Gronau, K. N. Akash Raj, Eric-Jan Wagenmakers
Booming in business and a staple analysis in medical trials, the A/B test assesses the effect of an intervention or treatment by comparing its success rate with that of a control c…
bridgesampling: An R Package for Estimating Normalizing Constants
Quentin F. Gronau, Henrik Singmann, Eric-Jan Wagenmakers
Statistical procedures such as Bayes factor model selection and Bayesian model averaging require the computation of normalizing constants (e.g., marginal likelihoods). These normal…
Informed Bayesian T-Tests
Quentin F. Gronau, Alexander Ly, Eric-Jan Wagenmakers
Across the empirical sciences, few statistical procedures rival the popularity of the frequentist t-test. In contrast, the Bayesian versions of the t-test have languished in obscur…
Quantifying Uncertainty in Transdimensional Markov Chain Monte Carlo Using Discrete Markov Models
Daniel W. Heck, Antony M. Overstall, Quentin F. Gronau +1
Bayesian analysis often concerns an evaluation of models with different dimensionality as is necessary in, for example, model selection or mixture models. To facilitate this evalua…
A Tutorial on Bridge Sampling
Quentin F. Gronau, Alexandra Sarafoglou, Dora Matzke +7
The marginal likelihood plays an important role in many areas of Bayesian statistics such as parameter estimation, model comparison, and model averaging. In most applications, howe…
Bayesian Evidence Accumulation in Experimental Mathematics: A Case Study of Four Irrational Numbers
Quentin F. Gronau, Eric-Jan Wagenmakers
Many questions in experimental mathematics are fundamentally inductive in nature. Here we demonstrate how Bayesian inference --the logic of partial beliefs-- can be used to quantif…