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The effect of iconicity of visual displays on statistical reasoning: evidence in favor of the null hypothesis

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Title
The effect of iconicity of visual displays on statistical reasoning: evidence in favor of the null hypothesis
Published in
Psychonomic Bulletin & Review, December 2013
DOI 10.3758/s13423-013-0555-4
Pubmed ID
Authors

Miroslav Sirota, Lenka Kostovičová, Marie Juanchich

Abstract

Knowing which properties of visual displays facilitate statistical reasoning bears practical and theoretical implications. Therefore, we studied the effect of one property of visual diplays - iconicity (i.e., the resemblance of a visual sign to its referent) - on Bayesian reasoning. Two main accounts of statistical reasoning predict different effect of iconicity on Bayesian reasoning. The ecological-rationality account predicts a positive iconicity effect, because more highly iconic signs resemble more individuated objects, which tap better into an evolutionary-designed frequency-coding mechanism that, in turn, facilitates Bayesian reasoning. The nested-sets account predicts a null iconicity effect, because iconicity does not affect the salience of a nested-sets structure-the factor facilitating Bayesian reasoning processed by a general reasoning mechanism. In two well-powered experiments (N = 577), we found no support for a positive iconicity effect across different iconicity levels that were manipulated in different visual displays (meta-analytical overall effect: log OR = -0.13, 95 % CI [-0.53, 0.28]). A Bayes factor analysis provided strong evidence in favor of the null hypothesis-the null iconicity effect. Thus, these findings corroborate the nested-sets rather than the ecological-rationality account of statistical reasoning.

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Geographical breakdown

Country Count As %
Germany 1 3%
Chile 1 3%
Italy 1 3%
United Kingdom 1 3%
United States 1 3%
Unknown 33 87%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 7 18%
Researcher 5 13%
Student > Doctoral Student 3 8%
Student > Bachelor 3 8%
Lecturer 3 8%
Other 11 29%
Unknown 6 16%
Readers by discipline Count As %
Psychology 22 58%
Business, Management and Accounting 3 8%
Agricultural and Biological Sciences 2 5%
Mathematics 2 5%
Engineering 2 5%
Other 1 3%
Unknown 6 16%