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Gepubliceerd in: Psychological Research 2/2021

16-11-2019 | Original Article

Automatic place-value activation in magnitude-irrelevant parity judgement

Auteurs: Krzysztof Cipora, Mojtaba Soltanlou, Stefan Smaczny, Silke M. Göbel, Hans-Christoph Nuerk

Gepubliceerd in: Psychological Research | Uitgave 2/2021

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Abstract

Research on multi-digit number processing suggests that, in Arabic numerals, their place-value magnitude is automatically activated, whenever a magnitude-relevant task was employed. However, so far, it is unknown, whether place-value is also activated when the target task is magnitude-irrelevant. The current study examines this question using the parity congruency effect in two-digit numbers: It describes that responding to decade-digit parity congruent numbers (e.g., 35, 46; same parity of decades and units) is faster than to decade-digit parity incongruent numbers (e.g., 25; 36; different parities of decades and units). Here we investigate the (a-) symmetry of the parity congruency effect; i.e. whether it makes a difference whether participants are assessing the parity of the unit digit or the decade digit. We elaborate, how and why such an asymmetry is related to place-value processing, because the parity of the unit digit only interferes with the parity of the decade digit, while the parity of the decade digit interferes with both the parity of the unit digit and the integrated parity of the whole two-digit number. We observed a significantly larger parity congruency effect in the decade parity decision than in the unit parity decision. This suggests that automatic place-value processing also takes place in a typical parity judgment task, in which magnitude is irrelevant. Finally, because of the cross-lingual design of the study, we can show that these results and their implications were language-independent.
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1
Place-value activation could in principle be further distinguished in approximate and exact place-value activation. Approximate place-value activation would refer to the approximate value of number magnitude on a fuzzy mental number line (Dehaene, 2001; Dehaene, Dupoux, and Mehler, 1990). A person (e.g., a child in a number line estimation task) would know that 92 is somehow larger than 29, which is comprised of the same digits, but on different positions, but may not be able to locate it exactly on a number line. For exact place-value activation, the exact value as indexed by the Arabic number system is derived. For the number 72, one would know that it is an even number, a multiplication table result of 8*9, and not just some approximate magnitude between 70 and 80. The parity derived from such an exact integration of place-value activation of both digits (i.e., 90 and 2 for 92) is termed “integrated parity” or sometimes “place-value integration” in this manuscript.
 
2
This setup allows examining the SNARC effect (Dehaene et al., 1993) as well. This was not the main objective of this experiment, but we report the results in Appendix 1.
 
3
Discrepancy between RT and accuracy data in numerical cognition have already been reported (see eg., Ratcliff & McKoon, 2018; Ratcliff, Thompson, & McKoon, 2015). Such differential effects can be accounted for in future research by using the diffusion models.
 
4
We would like to thank Attila Krajcsi for pointing out this alternative explanation.
 
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Metagegevens
Titel
Automatic place-value activation in magnitude-irrelevant parity judgement
Auteurs
Krzysztof Cipora
Mojtaba Soltanlou
Stefan Smaczny
Silke M. Göbel
Hans-Christoph Nuerk
Publicatiedatum
16-11-2019
Uitgeverij
Springer Berlin Heidelberg
Gepubliceerd in
Psychological Research / Uitgave 2/2021
Print ISSN: 0340-0727
Elektronisch ISSN: 1430-2772
DOI
https://doi.org/10.1007/s00426-019-01268-1

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