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Effects of visualizing statistical information – An empirical study on tree diagrams and 2 x 2 tables
Article
Binder, Karin
, Krauss, Stefan and Bruckmeier, Georg
(2015)
Effects of visualizing statistical information – An empirical study on tree diagrams and 2 x 2 tables.
Frontiers in Psychology 2015 (6), pp. 1-18.
DOI to cite this document: 10.5283/epub.32286
Abstract
In their research articles, scholars often use 2 x 2 tables or tree diagrams including natural frequencies in order to illustrate Bayesian reasoning situations to their peers. Interestingly, the effect of these visualizations on participants' performance has not been tested empirically so far (apart from explicit training studies). In the present article, we report on an empirical study (3 x 2 x ...
In their research articles, scholars often use 2 x 2 tables or tree diagrams including natural frequencies in order to illustrate Bayesian reasoning situations to their peers. Interestingly, the effect of these visualizations on participants' performance has not been tested empirically so far (apart from explicit training studies). In the present article, we report on an empirical study (3 x 2 x 2 design) in which we systematically vary visualization (no visualization vs. 2 x 2 table vs. tree diagram) and information format (probabilities vs. natural frequencies) for two contexts (medical vs. economical context; not a factor of interest). Each of N = 259 participants (students of age 16-18) had to solve two typical Bayesian reasoning tasks (mammography problem" and "economics problem"). The hypothesis is that 2 x 2 tables and tree diagrams especially when natural frequencies are included can foster insight into the notoriously difficult structure of Bayesian reasoning situations. In contrast to many other visualizations (e.g., icon arrays, Euler diagrams), 2 x 2 tables and tree diagrams have the advantage that they can be constructed easily. The implications of our findings for teaching Bayesian reasoning will be discussed.
Involved Institutions
Details
| Item type | Article | ||||||||
| Journal or Publication Title | Frontiers in Psychology | ||||||||
| Publisher | FRONTIERS MEDIA SA | ||||||||
| Open Access Type | Gold (with APC) | ||||||||
| Place of Publication | LAUSANNE | ||||||||
| Volume | 2015 | ||||||||
| Number of Issue or Book Chapter | 6 | ||||||||
| Page Range | pp. 1-18 | ||||||||
| Date | 26 August 2015 | ||||||||
| Date of publication | 04 Aug 2015 12:17 | ||||||||
| Institutions | Mathematics > Prof. Dr. Stefan Krauss | ||||||||
| Identification Number |
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| Keywords | ECOLOGICAL RATIONALITY; DIAGNOSTIC INFERENCES; NATURAL FREQUENCIES; REPRESENTATION; GIGERENZER; HOFFRAGE; RISK; DIFFICULTIES; INSTRUCTION; UNCERTAINTY; Bayesian reasoning; 2 x 2 table; natural sampling tree; natural frequencies; visual representation | ||||||||
| Dewey Decimal Classification | 500 Science > 510 Mathematics 500 Science > 510 Mathematics | ||||||||
| Status | Published | ||||||||
| Refereed | Yes, this version has been refereed | ||||||||
| Created at the University of Regensburg | Yes | ||||||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-322860 | ||||||||
| Item ID | 32286 |
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