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A selective sampling account of forming numerosity representations.

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  • 1Department of Marketing, Coller School of Management, Tel Aviv University.

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Summary

Cognitive processes influence how we perceive numbers. Display format affects numerical representations, impacting variability and scaling in numerosity judgments.

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Area of Science:

  • Cognitive psychology
  • Numerical cognition
  • Visual perception

Background:

  • Numerosity judgments are modeled by Gaussian distributions on a mental number line.
  • Linear and logarithmic models differ in how variability and scaling change with number.
  • Selective sampling offers a framework to explain variations in these judgments.

Purpose of the Study:

  • To investigate cognitive processes underlying variability and scaling in numerosity judgments.
  • To explore how display format influences numerical representations.
  • To test the selective sampling account of numerosity.

Main Methods:

  • Participants performed numerosity judgments in intermingled (blue/yellow) and spatially separated (left/right) dot displays.
  • Behavioral data were analyzed using modeling approaches.
  • Eye-tracking data were collected to assess attentional processes.

Main Results:

  • Intermingled displays led to increasing variability with set size due to incomplete sampling.
  • Spatially separated displays resulted in constant variability across set sizes, indicating comprehensive sampling.
  • Display format influenced scale type: linear for intermingled, logarithmic for separated displays.

Conclusions:

  • Selective sampling, driven by display format and attentional processes, shapes numerical representations.
  • Variability and scaling in numerosity judgments are not fixed but context-dependent.
  • Eye-tracking data support the role of selective attention in numerical cognition.