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How to Train Novices in Bayesian Reasoning
Article
Büchter, Theresa
, Eichler, Andreas
, Steib, Nicole, Binder, Karin
, Böcherer-Linder, Katharina, Krauss, Stefan
and Vogel, Markus
(2022)
How to Train Novices in Bayesian Reasoning.
Mathematics 10 (9), p. 1558.
DOI to cite this document: 10.5283/epub.52374
Abstract
Bayesian Reasoning is both a fundamental idea of probability and a key model in applied sciences for evaluating situations of uncertainty. Bayesian Reasoning may be defined as the dealing with, and understanding of, Bayesian situations. This includes various aspects such as calculating a conditional probability (performance), assessing the effects of changes to the parameters of a formula on the ...
Bayesian Reasoning is both a fundamental idea of probability and a key model in applied sciences for evaluating situations of uncertainty. Bayesian Reasoning may be defined as the dealing with, and understanding of, Bayesian situations. This includes various aspects such as calculating a conditional probability (performance), assessing the effects of changes to the parameters of a formula on the result (covariation) and adequately interpreting and explaining the results of a formula (communication). Bayesian Reasoning is crucial in several non-mathematical disciplines such as medicine and law. However, even experts from these domains struggle to reason in a Bayesian manner. Therefore, it is desirable to develop a training course for this specific audience regarding the different aspects of Bayesian Reasoning. In this paper, we present an evidence-based development of such training courses by considering relevant prior research on successful strategies for Bayesian Reasoning (e.g., natural frequencies and adequate visualizations) and on the 4C/ID model as a promising instructional approach. The results of a formative evaluation are described, which show that students from the target audience (i.e., medicine or law) increased their Bayesian Reasoning skills and found taking part in the training courses to be relevant and fruitful for their professional expertise.
Involved Institutions
Details
| Item type | Article | ||||||
| Journal or Publication Title | Mathematics | ||||||
| Publisher | MDPI | ||||||
| Open Access Type | Gold (mit APC - nicht UR) | ||||||
| Place of Publication | BASEL | ||||||
| Volume | 10 | ||||||
| Number of Issue or Book Chapter | 9 | ||||||
| Page Range | p. 1558 | ||||||
| Date | May 2022 | ||||||
| Date of publication | 22 Jun 2022 08:32 | ||||||
| Institutions | Mathematics > Prof. Dr. Stefan Krauss | ||||||
| Identification Number |
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| Classification |
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| Keywords | NATURAL FREQUENCIES; MODELING EXAMPLES; TREE DIAGRAMS; METAANALYSIS; PERFORMANCE; PRINCIPLES; ATTENTION; MEDICINE; CHILDREN; DESIGN; Bayesian Reasoning; Bayes' rule; visualization; unit square; double tree; natural frequencies; 4C; ID model | ||||||
| Dewey Decimal Classification | 500 Science > 510 Mathematics | ||||||
| Status | Published | ||||||
| Refereed | Yes, this version has been refereed | ||||||
| Created at the University of Regensburg | Partially | ||||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-523745 | ||||||
| Item ID | 52374 |
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