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01-03-2014 | Original Article

Additions are biased by operands: evidence from repeated versus different operands

Auteurs: Pom Charras, Enrique Molina, Juan Lupiáñez

Gepubliceerd in: Psychological Research | Uitgave 2/2014

Abstract

Recent evidence led to the conclusion that addition problems are biased towards overestimation, regardless of whether information is conveyed by symbolic or non-symbolic stimuli (the Operational Momentum effect). The present study focuses on the role of operands in the overestimation of addition problems. Based on the tie effect, and on recent evidence that the nature of operands biases addition problems towards an underestimation when operands are repeated, but towards an overestimation when different, we aim here to further elucidate the contribution of operands to addition problems. Experiment 1 replicates the underestimation of repeated-operand additions and overestimation of different-operand additions, with large numbers (around 50), and explores whether these effects also apply to small operand additions (around 10). Experiment 2 further explores the overestimation of different-operand additions by investigating the roles of operand order and numerical distance between operands. The results show that both factors have an impact on the overestimation size, but are not crucial for overestimation to occur. The results are discussed in terms of arithmetic strategies, spatial organization of numbers and magnitude representation.

vorige artikel Exogenous attention can be counter-selective: onset cues disrupt sensitivity to color changes

volgende artikel The dynamics of search, impasse, and representational change provide a coherent explanation of difficulty in the nine-dot problem

The term “small numbers”, as used in this literature, refers to magnitudes smaller than 5, and “large numbers” to numbers comprised between 5 and 9.

The main modification to the experimental manipulation in this study, in respect of that implemented by Charras et al. (2012), is in the use of three possible responses: inferior, equal and superior (instead of a two-alternative, forced-choice response of inferior/superior). This manipulation was aimed at slowing down responses, in order to avoid a speed-accuracy trade-off.

The distance “n” was removed from the statistical analysis.

As two participants failed to provide a single valid response in this specific condition, the degrees of freedom were changed from F(9, 261) to F(9, 243).

It should be noted that in this experimental manipulation, a distance of 4 units is considered as “close”. The contextual effects are so strong that, depending on the experiment design, the same condition can rely on different processes. Here, a 4-unit distance is considered as close, as compared to a 28-unit distance. To mimic the earlier statistical analyses reported herein, the n−4 and n+4 conditions were removed, and we computed the analyses with the O-Outcomes n−2 versus. n+2. Planned comparisons showed a significant effect for accuracy but not for RTs (F(1, 29) = 16.59, p < 0.001 for accuracy, but F < 1 for RTs).

Planned comparisons were also far from significance, when the n−4 and n+4 conditions (both Fs < 1) were eliminated.

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Titel: Additions are biased by operands: evidence from repeated versus different operands
Auteurs: Pom Charras
Enrique Molina
Juan Lupiáñez
Publicatiedatum: 01-03-2014
Uitgeverij: Springer Berlin Heidelberg
Gepubliceerd in: Psychological Research / Uitgave 2/2014
Print ISSN: 0340-0727
Elektronisch ISSN: 1430-2772
DOI: https://doi.org/10.1007/s00426-013-0491-y

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