What are the alternatives to Bayesian thinking

Bayesian thinking - step by step - enable insights into complex problems with frequencies and tree diagrams

Show me more biostatistics! pp 87-99 | Cite as

  • Karin Binder
  • Jörg Marienhagen
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Summary

Bayesian tasks represent a special cognitive challenge for students in medicine. Because both patients and medical students and doctors have difficulty calculating a positive or negative predictive value if the prevalence of the disease is with the sensitivity and false-positive rate of a diagnostic test must be combined.

A look at the common medical textbooks from biometrics shows that Bayesian tasks are predominantly introduced conventionally via the concept of conditional probabilities and that new didactic approaches are not yet adequately used. Often the introduction remains too closely linked to Bayes' formula, or percentages are used to clarify the facts. However, these approaches are not suitable for explaining Bayesian tasks in an understandable way.

As part of this article, we would like to present a didactic concept for the introduction of Bayesian tasks, which is to be further developed into an online course. The concept is based on three essential steps, which we consider important to optimally explain Bayesian tasks: The first step consists in translating the probabilities - which are often shown as percentages (e.g. 80%) - into so-called "natural frequencies" (e.g. 8 out of 10). The second step is the additional presentation of a tree diagram, which also contains natural frequencies, in order to visualize the complicated facts of Bayesian tasks. The third step is to highlight those branches of the tree diagram that are essential for answering the question. The correct result of the task can then be read off directly.

Using concrete sample tasks, it should be illustrated how Bayesian tasks can be introduced easily and clearly using these three steps.

Additional teaching material for easy application of the submitted teaching ideas is available on the Springer homepage http://www.springer.com/978-3-662-54824-0.

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You can find the following electronic materials for this article online:
  • Exercise sheet on the subject of HIV test,

  • Solution sketch of the exercise sheet on the subject of HIV testing.

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Copyright information

© Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1. Didactics of the Mathematics University of RegensburgRegensburgGermany
  2. 2.Universitätsklinikum RegensburgRegensburgGermany