Literature DB >> 18488641

Frequency interpretation of ambiguous statistical information facilitates Bayesian reasoning.

Gary L Brase1.   

Abstract

The idea that naturally sampled frequencies facilitate performance in statistical reasoning tasks because they are a cognitively privileged representational format has been challenged by findings that similarly structured numbers presented as chances similarly facilitate performance, on the basis of the claim that these are technically single-event probabilities. A crucial opinion, however, is that of the research participants, who possibly interpret chances as de facto frequencies. A series of experiments here indicate that not only is performance improved by clearly presented natural frequencies, rather than chances phrasing, but also that participants who interpreted chances as frequencies, rather than as probabilities, were consistently better at statistical reasoning. This result was found across different variations of information presentation and across different populations.

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Mesh:

Year:  2008        PMID: 18488641     DOI: 10.3758/pbr.15.2.284

Source DB:  PubMed          Journal:  Psychon Bull Rev        ISSN: 1069-9384


  4 in total

1.  Solving probabilistic and statistical problems: a matter of information structure and question form.

Authors:  V Girotto; M Gonzalez
Journal:  Cognition       Date:  2001-03

2.  Representation facilitates reasoning: what natural frequencies are and what they are not.

Authors:  Ulrich Hoffrage; Gerd Gigerenzer; Stefan Krauss; Laura Martignon
Journal:  Cognition       Date:  2002-07

3.  Participant recruitment methods and statistical reasoning performance.

Authors:  Gary L Brase; Laurence Fiddick; Clare Harries
Journal:  Q J Exp Psychol (Hove)       Date:  2006-05       Impact factor: 2.143

4.  Frequency versus probability formats in statistical word problems.

Authors:  J S Evans; S J Handley; N Perham; D E Over; V A Thompson
Journal:  Cognition       Date:  2000-12-15
  4 in total
  11 in total

1.  Now you Bayes, now you don't: effects of set-problem and frequency-format mental representations on statistical reasoning.

Authors:  Miroslav Sirota; Lenka Kostovičová; Frédéric Vallée-Tourangeau
Journal:  Psychon Bull Rev       Date:  2015-10

2.  Another chance for good reasoning.

Authors:  Stefania Pighin; Katya Tentori; Vittorio Girotto
Journal:  Psychon Bull Rev       Date:  2017-12

3.  (Yet) Another chance for good reasoning? A commentary and reply on Pighin, Tentori, and Girotto (2017).

Authors:  Gary L Brase; Stefania Pighin; Katya Tentori
Journal:  Psychon Bull Rev       Date:  2018-06

Review 4.  Perspectives on the 2 × 2 Matrix: Solving Semantically Distinct Problems Based on a Shared Structure of Binary Contingencies.

Authors:  Hansjörg Neth; Nico Gradwohl; Dirk Streeb; Daniel A Keim; Wolfgang Gaissmaier
Journal:  Front Psychol       Date:  2021-02-09

5.  Ecological rationality or nested sets? Individual differences in cognitive processing predict Bayesian reasoning.

Authors:  Miroslav Sirota; Marie Juanchich; York Hagmayer
Journal:  Psychon Bull Rev       Date:  2014-02

Review 6.  Good fences make for good neighbors but bad science: a review of what improves Bayesian reasoning and why.

Authors:  Gary L Brase; W Trey Hill
Journal:  Front Psychol       Date:  2015-03-31

7.  Toward an ecological analysis of Bayesian inferences: how task characteristics influence responses.

Authors:  Sebastian Hafenbrädl; Ulrich Hoffrage
Journal:  Front Psychol       Date:  2015-08-04

8.  Natural frequencies improve Bayesian reasoning in simple and complex inference tasks.

Authors:  Ulrich Hoffrage; Stefan Krauss; Laura Martignon; Gerd Gigerenzer
Journal:  Front Psychol       Date:  2015-10-14

9.  Natural frequencies facilitate diagnostic inferences of managers.

Authors:  Ulrich Hoffrage; Sebastian Hafenbrädl; Cyril Bouquet
Journal:  Front Psychol       Date:  2015-06-22

Review 10.  Comprehension and computation in Bayesian problem solving.

Authors:  Eric D Johnson; Elisabet Tubau
Journal:  Front Psychol       Date:  2015-07-27
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