Bayesian Statistics

Bayesian statistics and modelling

Bayesian statistics is an approach to data analysis based on Bayes' theorem, where available knowledge about parameters in a statistical model is updated with the information in observed data. The background knowledge is expressed as a prior …

Systematically Defined Informative Priors in Bayesian Estimation. An Empirical Application on the Transmission of Internalizing Symptoms Through Mother-Adolescent Interaction Behavior

Background. Bayesian estimation with informative priors permits updating previous findings with new data, thus generating cumulative knowledge. To reduce subjectivity in the process, the present study emphasizes how to systematically weigh and …

Expert Elicitation for Latent Growth Curve Models. The Case of Posttraumatic Stress Symptoms Development in Children With Burn Injuries

Experts provide an alternative source of information to classical data collection methods such as surveys. They can provide additional insight into problems, supplement existing data, or provide insights when classical data collection is troublesome. …

A Tutorial on Using The Wambs Checklist to Avoid The Misuse of Bayesian Statistics

This chapter guides readers through the steps of the When-to-Worry-and-How-to-Avoid-the-Misuse-of-Bayesian-Statistics checklist (the WAMBS checklist) in order to provide background for other chapters in this book. This chapter supplements the …

The Importance of Collaboration in Bayesian Analyses with Small Samples

This chapter addresses Bayesian estimation with (weakly) informative priors as a solution for small sample size issues. Special attention is paid to the problems that may arise in the analysis process, showing that Bayesian estimation should not be …

Proposal for a Five-Step Method to Elicit Expert Judgment

Elicitation is a commonly used tool to extract viable information from experts. The information that is held by the expert is extracted and a probabilistic representation of this knowledge is constructed. A promising avenue in psychological research …