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01-07-2011 | Original Article

Two-digit number processing: holistic, decomposed or hybrid? A computational modelling approach

Auteurs: K. Moeller, S. Huber, H.-C. Nuerk, K. Willmes

Gepubliceerd in: Psychological Research | Uitgave 4/2011

Abstract

Currently, there are three competing theoretical accounts concerning the nature of two-digit number magnitude representation: a holistic, a strictly decomposed, and a hybrid model. Observation of the unit-decade compatibility effect (Nuerk et al. in Cognition 82:B25–B33, 2001) challenged the view of two-digit number magnitude to be represented as one integrated entity. However, at the moment there is no study distinguishing between the decomposed and the hybrid model. The present study addressed this issue using a computational modelling approach. Three network models complying with the constraints of all three theoretical models were programmed and trained on two-digit number comparison. Models were compared as to how well they accounted for empirical effects in the most parsimonious way. Generally, this evaluation indicated that the empirical data were simulated best by the strictly decomposed model. Implications of these results for our understanding of the nature of human number magnitude representation are discussed.

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For each of the three models the arithmetic mean of the simulated RTs was more than 4 standard deviations from the upper time limit indicating that in the vast majority of trials the neural network models had come to a decision well before the time limit was reached.

Results were identical when using the activation difference between the two output nodes instead of simulated RT as the dependent variable suggesting the present approach of simulating RT to be valid.

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Titel: Two-digit number processing: holistic, decomposed or hybrid? A computational modelling approach
Auteurs: K. Moeller
S. Huber
H.-C. Nuerk
K. Willmes
Publicatiedatum: 01-07-2011
Uitgeverij: Springer-Verlag
Gepubliceerd in: Psychological Research / Uitgave 4/2011
Print ISSN: 0340-0727
Elektronisch ISSN: 1430-2772
DOI: https://doi.org/10.1007/s00426-010-0307-2

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