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Related Experiment Video

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Topographical Estimation of Visual Population Receptive Fields by fMRI
06:02

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Published on: February 3, 2015

Visual nesting impacts approximate number system estimation.

Dana L Chesney1, Rochel Gelman

  • 1Department of Psychology, University of Notre Dame, 118 Haggar Hall, Notre Dame, IN 46556, USA. dlchesney@gmail.com

Attention, Perception & Psychophysics
|July 20, 2012
PubMed
Summary

The approximate number system (ANS) shows "miss effects" when items are nested, leading to slower responses and lower estimations. This supports the accumulator model of numerical cognition.

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Area of Science:

  • Cognitive Psychology
  • Numerical Cognition
  • Human Perception

Background:

  • The approximate number system (ANS) enables rapid, imprecise enumeration of large quantities without direct counting.
  • The accumulator model is a prominent theory suggesting ANS functions like a graduated cylinder, accumulating items.
  • This model predicts that un-accumulated items ('misses') would cause underestimation or delayed responses.

Purpose of the Study:

  • To experimentally investigate the existence and impact of 'miss effects' within the accumulator model of ANS.
  • To determine if visual configurations, specifically item nesting, influence the accuracy and speed of approximate number judgments.

Main Methods:

  • Fifty participants estimated the numerosity of briefly presented sets of circles.
  • Experimental conditions manipulated the degree of circle nesting to induce varying 'miss rates'.
  • Response times and numerical estimations were recorded for each condition.

Main Results:

  • Increased circle nesting led to significantly longer response times and lower numerosity estimations.
  • The effect of nesting on estimation was independent of the total number of items presented.
  • These findings provide empirical support for the occurrence of 'miss effects' in ANS.

Conclusions:

  • The study validates key predictions of the accumulator model, demonstrating that 'miss effects' impact approximate number judgments.
  • Visual complexity, like item nesting, can interfere with the preattentive individuation and accumulation of items.
  • These ANS biases may influence broader cognitive processes and behavioral tendencies, such as spontaneous counting.