On the usefulness of graph-theoretic properties in the study of perceived numerosity



Guest, Martin, Zito, Michele, Hulleman, Johan and Bertamini, Marco ORCID: 0000-0001-8617-6864
(2022) On the usefulness of graph-theoretic properties in the study of perceived numerosity. Behavior Research Methods, 54 (5). pp. 2381-2397.

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Abstract

<jats:title>Abstract</jats:title><jats:p>Observers can quickly estimate the quantity of sets of visual elements. Many aspects of this ability have been studied and the underlying system has been called the Approximate Number Sense (Dehaene, 2011). Specific visual properties, such as size and clustering of the elements, can bias an estimate. For intermediate numerical quantities at low density (above five, but before texturization), human performance is predicted by a model based on the region of influence of elements (occupancy model: Allïk &amp; Tuulmets, 1991). For random 2D configurations we computed ten indices based on graph theory, and we compared them with the occupancy model: independence number, domination, connected components, local clustering coefficient, global clustering coefficient, random walk, eigenvector centrality, maximum clique, total degree of connectivity, and total edge length. We made comparisons across a range of parameters, and we varied the size of the region of influence around each element. The analysis of the pattern of correlations suggests two main groups of graph-based measures. The first group is sensitive to the presence of local clustering of elements, the second seems more sensitive to density and the way information spreads in graphs. Empirical work on perception of numerosity may benefit from comparing, or controlling for, these properties.</jats:p>

Item Type: Article
Uncontrolled Keywords: Numerosity, Graph theory, Principal component analysis, Occupancy model
Divisions: Faculty of Health and Life Sciences
Faculty of Health and Life Sciences > Institute of Population Health
Depositing User: Symplectic Admin
Date Deposited: 31 Mar 2022 10:29
Last Modified: 18 Jan 2023 21:06
DOI: 10.3758/s13428-021-01733-z
Open Access URL: https://doi.org/10.3758/s13428-021-01733-z
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3151822