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Split Point Analysis and Uncertainty Quantification of Thermal-Optical Organic/Elemental Carbon Measurements
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Ongoing dynamic calibration produces unstable number estimates.

Erik Brockbank1, David Barner1, Edward Vul1

  • 1Department of Psychology.

Journal of Experimental Psychology. General
|February 24, 2022
PubMed
Summary
This summary is machine-generated.

Human number estimation uses a bilinear function, not a power law. A novel "drift" in calibration affects accuracy, suggesting estimation relies on past experiences for consistency.

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Area of Science:

  • Cognitive Psychology
  • Psychophysics
  • Numerical Cognition

Background:

  • Humans often translate subjective sensory data into formal systems, like estimating crowd size or using rating scales.
  • Understanding how people estimate numerical quantities is crucial for cognitive science.

Purpose of the Study:

  • To investigate the function underlying human number estimation from visual arrays.
  • To identify novel factors influencing estimation accuracy and consistency.
  • To develop a new model for mapping subjective numerosity to symbolic number.

Main Methods:

  • Participants estimated the number of dots in visual arrays.
  • Statistical analysis using bilinear and power functions in log space.
  • Examination of the coefficient of variation at different magnitudes.
  • Development and testing of a novel estimation model.

Main Results:

  • Number estimation followed a bilinear function in log space, diverging from the traditional power law.
  • A "drift" in estimation calibration was observed at higher magnitudes, impacting the coefficient of variation.
  • The novel model, relying on prior estimates, accurately mapped subjective numerosity to symbolic number.

Conclusions:

  • Human number estimation is better described by a bilinear function than a power law.
  • Estimation accuracy is influenced by a trial-dependent calibration drift.
  • A model based on consistency with past estimates explains number estimation effectively.