Finding the SNARC Instead of Hunting It: A 20∗20 Monte Carlo Investigation

The Spatial Numerical Association of Response Codes (SNARC) effect describes a stimulus-response association of left with small magnitude and right with large magnitude. Usually, it is estimated by means of regression slopes, where the independent variable only has a limited number of levels. Inspec...

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Main Authors: Krzysztof Cipora, Guilherme Wood
Format: Article
Language:English
Published: Frontiers Media S.A. 2017-07-01
Series:Frontiers in Psychology
Subjects:
Online Access:http://journal.frontiersin.org/article/10.3389/fpsyg.2017.01194/full
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author Krzysztof Cipora
Guilherme Wood
author_facet Krzysztof Cipora
Guilherme Wood
author_sort Krzysztof Cipora
collection DOAJ
description The Spatial Numerical Association of Response Codes (SNARC) effect describes a stimulus-response association of left with small magnitude and right with large magnitude. Usually, it is estimated by means of regression slopes, where the independent variable only has a limited number of levels. Inspection of the literature reveals that it is not difficult to detect a SNARC effect within a group, but it has been quite unusual to find group differences. Is the SNARC effect as it is usually estimated using regression slopes largely insensitive to group differences, and are there design parameters necessary to increase sensitivity in group comparison analyses? Using numerical simulations, we provide evidence that both sample size and the number of stimulus repetitions, as well as intra-individual variability, contribute in a substantial way to the probability of detecting an existing SNARC effect. Our results show that the adequate choice of either sample size or number of repetitions per experimental cell does not fully compensate for a poor choice of the other parameter. Moreover, repeated failures to find significant group differences in the SNARC effect can be explained by insufficient power. Fortunately, increasing the number of repetitions to about 20 and testing at least 20 participants provides in most cases sufficient sensitivity to reliably detect the SNARC effect as well as group differences. Power plots are provided, which may help to improve both the economy and sensitivity of experimental design in future SNARC experiments, or, more generally when regression slopes are estimated intra-individually.
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spelling doaj.art-bad8bbeb3dfe4702a48d212495c11cee2022-12-22T02:56:07ZengFrontiers Media S.A.Frontiers in Psychology1664-10782017-07-01810.3389/fpsyg.2017.01194243273Finding the SNARC Instead of Hunting It: A 20∗20 Monte Carlo InvestigationKrzysztof Cipora0Guilherme Wood1Department of Psychology, University of TübingenTübingen, GermanyInstitute of Psychology, Karl-Franzens-University of GrazGraz, AustriaThe Spatial Numerical Association of Response Codes (SNARC) effect describes a stimulus-response association of left with small magnitude and right with large magnitude. Usually, it is estimated by means of regression slopes, where the independent variable only has a limited number of levels. Inspection of the literature reveals that it is not difficult to detect a SNARC effect within a group, but it has been quite unusual to find group differences. Is the SNARC effect as it is usually estimated using regression slopes largely insensitive to group differences, and are there design parameters necessary to increase sensitivity in group comparison analyses? Using numerical simulations, we provide evidence that both sample size and the number of stimulus repetitions, as well as intra-individual variability, contribute in a substantial way to the probability of detecting an existing SNARC effect. Our results show that the adequate choice of either sample size or number of repetitions per experimental cell does not fully compensate for a poor choice of the other parameter. Moreover, repeated failures to find significant group differences in the SNARC effect can be explained by insufficient power. Fortunately, increasing the number of repetitions to about 20 and testing at least 20 participants provides in most cases sufficient sensitivity to reliably detect the SNARC effect as well as group differences. Power plots are provided, which may help to improve both the economy and sensitivity of experimental design in future SNARC experiments, or, more generally when regression slopes are estimated intra-individually.http://journal.frontiersin.org/article/10.3389/fpsyg.2017.01194/fullSNARC effectMonte Carlo simulationspower analysisANOVARegression Analysis
spellingShingle Krzysztof Cipora
Guilherme Wood
Finding the SNARC Instead of Hunting It: A 20∗20 Monte Carlo Investigation
Frontiers in Psychology
SNARC effect
Monte Carlo simulations
power analysis
ANOVA
Regression Analysis
title Finding the SNARC Instead of Hunting It: A 20∗20 Monte Carlo Investigation
title_full Finding the SNARC Instead of Hunting It: A 20∗20 Monte Carlo Investigation
title_fullStr Finding the SNARC Instead of Hunting It: A 20∗20 Monte Carlo Investigation
title_full_unstemmed Finding the SNARC Instead of Hunting It: A 20∗20 Monte Carlo Investigation
title_short Finding the SNARC Instead of Hunting It: A 20∗20 Monte Carlo Investigation
title_sort finding the snarc instead of hunting it a 20∗20 monte carlo investigation
topic SNARC effect
Monte Carlo simulations
power analysis
ANOVA
Regression Analysis
url http://journal.frontiersin.org/article/10.3389/fpsyg.2017.01194/full
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