Literature DB >> 11124351

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

V Girotto1, M Gonzalez.   

Abstract

Is the human mind inherently unable to reason probabilistically, or is it able to do so only when problems tap into a module for reasoning about natural frequencies? We suggest an alternative possibility: naive individuals are able to reason probabilistically when they can rely on a representation of subsets of chances or frequencies. We predicted that naive individuals solve conditional probability problems if they can infer conditional probabilities from the subset relations in their representation of the problems, and if the question put to them makes it easy to consider the appropriate subsets. The results of seven studies corroborated these predictions: when the form of the question and the structure of the problem were framed so as to activate intuitive principles based on subset relations, naive individuals solved problems, whether they were stated in terms of probabilities or frequencies. Otherwise, they failed with both sorts of information. The results contravene the frequentist hypothesis and the evolutionary account of probabilistic reasoning.

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Mesh:

Year:  2001        PMID: 11124351     DOI: 10.1016/s0010-0277(00)00133-5

Source DB:  PubMed          Journal:  Cognition        ISSN: 0010-0277


  28 in total

1.  Overcoming illusory inferences in a probabilistic counterintuitive problem: the role of explicit representations.

Authors:  Elisabet Tubau; Diego Alonso
Journal:  Mem Cognit       Date:  2003-06

Review 2.  The heuristic-analytic theory of reasoning: extension and evaluation.

Authors:  Jonathan St B T Evans
Journal:  Psychon Bull Rev       Date:  2006-06

3.  "At least one" problem with "some" formal reasoning paradigms.

Authors:  James R Schmidt; A Thompson
Journal:  Mem Cognit       Date:  2008-01

4.  Second-order probability affects hypothesis confirmation.

Authors:  Katya Tentori; Vincenzo Crupi; Daniel Osherson
Journal:  Psychon Bull Rev       Date:  2010-02

5.  Frequency interpretation of ambiguous statistical information facilitates Bayesian reasoning.

Authors:  Gary L Brase
Journal:  Psychon Bull Rev       Date:  2008-04

6.  Probabilistic cognition in two indigenous Mayan groups.

Authors:  Laura Fontanari; Michel Gonzalez; Giorgio Vallortigara; Vittorio Girotto
Journal:  Proc Natl Acad Sci U S A       Date:  2014-11-03       Impact factor: 11.205

7.  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

8.  Another chance for good reasoning.

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

9.  (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

10.  From reading numbers to seeing ratios: a benefit of icons for risk comprehension.

Authors:  Elisabet Tubau; Javier Rodríguez-Ferreiro; Itxaso Barberia; Àngels Colomé
Journal:  Psychol Res       Date:  2018-06-21
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