Two-digit number processing: holistic, decomposed or hybrid? A computational modelling approach.
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.
Moeller
K
K
Institute of Psychology, Eberhard Karls University, Tuebingen, Germany. korbinian.moeller@uni-tuebingen.de
Huber
S
S
Nuerk
H-C
HC
Willmes
K
K
D000704:Analysis of Variance; D008433:Mathematics; D008960:Models, Psychological; D011930:Reaction Time
Cognition. 2001 Nov;82(1):B25-33
11672709
J Cogn Neurosci. 2004 Nov;16(9):1493-504
15601514
Eur Child Adolesc Psychiatry. 2000;9 Suppl 2:II27-40
11138903
Cortex. 1997 Jun;33(2):219-50
9220256
Behav Brain Sci. 2009 Aug;32(3-4):313-28; discussion 328-73
19712504
Cortex. 2006 Nov;42(8):1128-37
17209418
J Exp Psychol Hum Percept Perform. 1990 Aug;16(3):626-41
2144576
Cogn Neuropsychol. 2003 May 1;20(3):487-506
20957581
Neural Netw. 2003 Oct;16(8):1107-40
13678618
Neuron. 2007 Jan 18;53(2):307-14
17224410
Exp Psychol. 2005;52(3):195-200
16076067
Neuron. 2007 Jan 18;53(2):293-305
17224409
Cognition. 1994 Oct;53(1):1-44
7988104
Q J Exp Psychol A. 2004 Jul;57(5):835-63
15204120
Psychol Sci. 2001 May;12(3):238-43
11437307
Cortex. 2008 Apr;44(4):429-38
18387575
Cognition. 2008 Mar;106(3):1525-36
17707788
Exp Psychol. 2006;53(4):275-82
17176659
Nature. 1967 Sep 30;215(5109):1519-20
6052760
Cognition. 1995 Dec;57(3):271-95
8556844
Exp Psychol. 2004;51(1):72-9
14959508
Cognition. 1992 Aug;44(1-2):107-57
1511584
Neuroimage. 2006 Jan 15;29(2):358-67
16253524
J Cogn Neurosci. 1993 Fall;5(4):390-407
23964915
Q J Exp Psychol (Hove). 2009 Feb;62(2):323-34
18609373
Psychon Bull Rev. 2005 Feb;12(1):66-80
15945201
Q J Exp Psychol (Hove). 2009 Mar;62(3):444-52
18785072