10.18453/rosdok_id00005404 Kunick, Jonathan Jonathan Kunick http://d-nb.info/gnd/1381064744 Universität Rostock 2024 310 General statistics 2024 en https://purl.uni-rostock.de/rosdok/id00005404 urn:nbn:de:gbv:28-rosdok_id00005404-2 We propose a Bayesian model to investigate a group testing regression model of equally- sized subgroups. The group testing design was developed by Dorfman (1943) to reduce costs and increase efficiency when detecting illnesses in populations and can be used to detect contamination in samples, when prevalence is low enough. We develop a Laplace-Bernstein- von Mises (BvM) Theorem in the style of Le Cam (1986), where distributional convergence to a Gaussian holds in total variation distance almost surely, and we list sufficient conditions. We also deduce additional conditions to derive a strong BvM for the group testing posterior distribution.