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Updated: Feb 14, 2026

Nanosponge Tunability in Size and Crosslinking Density
Published on: August 4, 2017
A mass-density model can account for the size-weight illusion
Christian Wolf1,2, Wouter M Bergmann Tiest3, Knut Drewing1
1Experimental Psychology, Justus-Liebig-University Giessen, Giessen, Germany.
The size-weight illusion occurs because perceived heaviness is biased by an object's density, not its size. Our model explains this by integrating mass and density estimates, with density becoming more influential as volume information improves.
Area of Science:
- Cognitive Psychology
- Perception Science
- Human Factors
Background:
- The size-weight illusion, where smaller, denser objects are perceived as heavier than larger objects of equal mass, remains incompletely explained by existing theories.
- Current models struggle to account for all facets of human heaviness perception and the size-weight illusion.
Purpose of the Study:
- To propose and validate a novel maximum-likelihood estimation model for heaviness perception.
- To investigate how the reliability of density information influences the size-weight illusion.
Main Methods:
- Developed a maximum-likelihood estimation model integrating mass and density estimates with correlated noise.
- Conducted magnitude estimation and two-alternative forced choice experiments involving lifting objects of varying mass, density, and volume information quality.
- Manipulated the reliability of visual and haptic volume information to assess its impact on heaviness judgments.
Main Results:
- Heaviness judgments were increasingly biased by object density as the quality of volume information improved.
- Objects of identical density were perceived as more similar in heaviness.
- Larger objects were perceived as lighter than smaller, denser objects of equal mass, with this effect strengthening with increased density differences.
Conclusions:
- The proposed model successfully explains the size-weight illusion as a density-biased perception, rather than size-biased.
- The findings suggest that perceived heaviness is a weighted average of mass and density estimates, with weights determined by their relative reliability.
- The model offers a promising framework for unifying theories of the size-weight illusion and human heaviness perception.
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