Natural frequencies improve Bayesian reasoning in simple and complex inference tasks

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State: Public
Version: Final published version
Serval ID
serval:BIB_371FC43292E7
Type
Article: article from journal or magazin.
Collection
Publications
Institution
Title
Natural frequencies improve Bayesian reasoning in simple and complex inference tasks
Journal
Frontiers in Psychology
Author(s)
Hoffrage U., Krauss S., Martignon L., Gigerenzer G.
ISSN
1664-1078
Publication state
Published
Issued date
10/2015
Peer-reviewed
Oui
Volume
6
Number
1473
Pages
1-14
Language
english
Abstract
Representing statistical information in terms of natural frequencies rather than probabilities improves performance in Bayesian inference tasks. This beneficial effect of natural frequencies has been demonstrated in a variety of applied domains such as medicine, law, and education. Yet all the research and applications so far have been limited to situations where one dichotomous cue is used to infer which of two hypotheses is true. Real-life applications, however, often involve situations where cues (e.g., medical tests) have more than one value, where more than two hypotheses (e.g., diseases) are considered, or where more than one cue is available. In Study 1, we show that natural frequencies, compared to information stated in terms of probabilities, consistently increase the proportion of Bayesian inferences made by medical students in four conditions-three cue values, three hypotheses, two cues, or three cues-by an average of 37 percentage points. In Study 2, we show that teaching natural frequencies for simple tasks with one dichotomous cue and two hypotheses leads to a transfer of learning to complex tasks with three cue values and two cues, with a proportion of 40 and 81% correct inferences, respectively. Thus, natural frequencies facilitate Bayesian reasoning in a much broader class of situations than previously thought.
Keywords
Bayesian inference, Representation of information, Natural frequencies, Task complexity, Instruction, Fast-and-frugal trees, Visualization
Web of science
Open Access
Yes
Create date
01/04/2016 16:06
Last modification date
20/08/2019 14:25
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