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The ratio effect in visual numerosity comparisons is preserved despite spatial frequency equalisation.

Andrea Adriano1, Luisa Girelli2, Luca Rinaldi3

  • 1Department of Psychology, University of Milano-Bicocca, Italy.

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|March 6, 2021
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Summary
This summary is machine-generated.

This study investigated how the brain processes non-symbolic numerosity, finding that the ratio effect in numerosity discrimination is independent of spatial frequency. This challenges theories suggesting numerosity is derived from image texture statistics.

Keywords:
Amplitude spectrumApproximate Number SystemPhase spectrumSegmentationSpatial frequency

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Area of Science:

  • Cognitive Science
  • Visual Perception
  • Psychophysics

Background:

  • Non-symbolic numerosity perception is crucial for various cognitive tasks.
  • Debate exists on whether numerosity is extracted directly from objects or indirectly from image statistics like spatial frequency (SF).
  • The ratio effect, where discrimination difficulty increases with numerical ratio, is a key signature of numerosity encoding.

Purpose of the Study:

  • To determine if the ratio effect in numerosity discrimination persists when spatial frequency content is equalized.
  • To disentangle direct object-based numerosity extraction from indirect texture-based accounts.

Main Methods:

  • Participants performed a numerosity discrimination task with brief visual stimuli (8-18 dots).
  • Stimuli were carefully matched for spatial frequency (SF) in Experiment 1.
  • Experiment 2 compared performance on original and SF-equalized stimuli.
  • The ratio between numerosities was manipulated to vary task difficulty.

Main Results:

  • A significant ratio-dependence was observed: discrimination accuracy and speed decreased as the numerical ratio increased.
  • This ratio effect remained consistent regardless of whether stimuli were SF-equalized or not.
  • Overall performance was superior with original stimuli compared to SF-equalized stimuli.

Conclusions:

  • The spatial frequency content of an image does not solely explain the ratio effect in numerosity perception.
  • Findings challenge indirect accounts of numerosity processing that rely on summary image statistics.
  • Direct, Weber's law-like encoding of numerosity appears robust across different stimulus conditions.