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Binder, Karin ; Krauss, Stefan ; Bruckmeier, Georg

Effects of visualizing statistical information – An empirical study on tree diagrams and 2 x 2 tables

Binder, Karin , Krauss, Stefan und Bruckmeier, Georg (2015) Effects of visualizing statistical information – An empirical study on tree diagrams and 2 x 2 tables. Frontiers in Psychology 2015 (6), S. 1-18.

Veröffentlichungsdatum dieses Volltextes: 04 Aug 2015 12:17
Artikel
DOI zum Zitieren dieses Dokuments: 10.5283/epub.32286


Zusammenfassung

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.



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Details

DokumentenartArtikel
Titel eines Journals oder einer ZeitschriftFrontiers in Psychology
Verlag:FRONTIERS MEDIA SA
Ort der Veröffentlichung:LAUSANNE
Band:2015
Nummer des Zeitschriftenheftes oder des Kapitels:6
Seitenbereich:S. 1-18
Datum26 August 2015
InstitutionenMathematik > Prof. Dr. Stefan Krauss
Identifikationsnummer
WertTyp
10.3389/fpsyg.2015.01186DOI
Article ID: 1186Andere
WOS:000360046500001Web of Science
Stichwörter / KeywordsECOLOGICAL 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-Dezimal-Klassifikation500 Naturwissenschaften und Mathematik > 510 Mathematik
500 Naturwissenschaften und Mathematik > 510 Mathematik
StatusVeröffentlicht
BegutachtetJa, diese Version wurde begutachtet
An der Universität Regensburg entstandenJa
URN der UB Regensburgurn:nbn:de:bvb:355-epub-322860
Dokumenten-ID32286

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