52 citations · 167 across the 19 of their papers we have counts for
5 papers · 1 filter
Optimal design of the Wilcoxon-Mann-Whitney-test
Paul-Christian Bürkner, Philipp Doebler, Heinz Holling
In scientific research, many hypotheses relate to the comparison of two independent groups. Usually, it is of interest to use a design (i.e., the allocation of sample sizes and…
Testing for Publication Bias in Diagnostic Meta-Analysis: A Simulation Study
Paul-Christian Bürkner, Philipp Doebler
The present study investigates the performance of several statistical tests to detect publication bias in diagnostic meta-analysis by means of simulation. While bivariate models sh…
Simulation-Based Calibration Checking for Bayesian Computation: The Choice of Test Quantities Shapes Sensitivity
Martin Modrák, Angie H. Moon, Shinyoung Kim +5
Simulation-based calibration checking (SBC) is a practical method to validate computationally-derived posterior distributions or their approximations. In this paper, we introduce a…
Prediction can be safely used as a proxy for explanation in causally consistent Bayesian generalized linear models
Maximilian Scholz, Paul-Christian Bürkner
Bayesian modeling provides a principled approach to quantifying uncertainty in model parameters and model structure and has seen a surge of applications in recent years. Within the…
A fully Bayesian sparse polynomial chaos expansion approach with joint priors on the coefficients and global selection of terms
Paul-Christian Bürkner, Ilja Kröker, Sergey Oladyshkin +1
Polynomial chaos expansion (PCE) is a versatile tool widely used in uncertainty quantification and machine learning, but its successful application depends strongly on the accuracy…