Not Toeing the Number Line for Simple Arithmetic: Two Large-n Conceptual Replications of Mathieu et al. (Cognition, 2016, Experiment 1)
Author(s) / Creator(s)
Campbell, Jamie
Chen, Yalin
Azhar, Maham
Abstract / Description
We conducted two conceptual replications of Experiment 1 in Mathieu, Gourjon, Couderc, Thevenot, and Prado (2016, https://doi.org/10.1016/j.cognition.2015.10.002). They tested a sample of 34 French adults on mixed-operation blocks of single-digit addition (4 + 3) and subtraction (4 – 3) with the three problem elements (O1, +/-, O2) presented sequentially. Addition was 34 ms faster if O2 appeared 300 ms after the operation sign and displaced 5o to the right of central fixation, whereas subtraction was 19 ms faster when O2 was displaced to the left. Replication Experiment 1 (n = 74 recruited at the University of Saskatchewan) used the same non-zero addition and subtraction problems and trial event sequence as Mathieu et al., but participants completed blocks of pure addition and pure subtraction followed by the mixed-operation condition used by Mathieu et al. Addition RT showed a 32 ms advantage with O2 shifted rightward relative to leftward but only in mixed-operation blocks. There was no effect of O2 position on subtraction RT. Experiment 2 (n = 74) was the same except mixed-operation blocks occurred before the pure-operation blocks. There was an overall 13 ms advantage with O2 shifted right relative to leftward but no interaction with operation or with mixture (i.e., pure vs mixed operations). Nonetheless, the rightward RT advantage was statistically significant for both addition and subtraction only in mixed-operation blocks. Taken together with the robust effects of mixture in Experiment 1, the results suggest that O2 position effects in this paradigm might reflect task specific demands associated with mixed operations.
Keyword(s)
replication simple addition and subtraction spatial attentionPersistent Identifier
Date of first publication
2021-07-01
Journal title
Journal of Numerical Cognition
Publisher
PsychArchives
Publication status
acceptedVersion
Review status
reviewed
Is version of
Citation
Campbell, J., Chen, Y., & Azhar, M. (in press). Not toeing the number line for simple arithmetic: Two large-n conceptual replications of Mathieu et al. (Cognition, 2016, Experiment 1) [Author accepted manuscript]. Journal of Numerical Cognition. http://doi.org/10.23668/psycharchives.4953
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Campbell_Chen_Azhar_2021_Not Toeing the Number_JNC_AAM.pdfAdobe PDF - 383.94KBMD5: 41d8701dbbb77233bc276ecbc52d1476Description: Author Accepted Manuscript
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Author(s) / Creator(s)Campbell, Jamie
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Author(s) / Creator(s)Chen, Yalin
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Author(s) / Creator(s)Azhar, Maham
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PsychArchives acquisition timestamp2021-07-01T12:47:37Z
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Made available on2021-07-01T12:47:37Z
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Date of first publication2021-07-01
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Abstract / DescriptionWe conducted two conceptual replications of Experiment 1 in Mathieu, Gourjon, Couderc, Thevenot, and Prado (2016, https://doi.org/10.1016/j.cognition.2015.10.002). They tested a sample of 34 French adults on mixed-operation blocks of single-digit addition (4 + 3) and subtraction (4 – 3) with the three problem elements (O1, +/-, O2) presented sequentially. Addition was 34 ms faster if O2 appeared 300 ms after the operation sign and displaced 5o to the right of central fixation, whereas subtraction was 19 ms faster when O2 was displaced to the left. Replication Experiment 1 (n = 74 recruited at the University of Saskatchewan) used the same non-zero addition and subtraction problems and trial event sequence as Mathieu et al., but participants completed blocks of pure addition and pure subtraction followed by the mixed-operation condition used by Mathieu et al. Addition RT showed a 32 ms advantage with O2 shifted rightward relative to leftward but only in mixed-operation blocks. There was no effect of O2 position on subtraction RT. Experiment 2 (n = 74) was the same except mixed-operation blocks occurred before the pure-operation blocks. There was an overall 13 ms advantage with O2 shifted right relative to leftward but no interaction with operation or with mixture (i.e., pure vs mixed operations). Nonetheless, the rightward RT advantage was statistically significant for both addition and subtraction only in mixed-operation blocks. Taken together with the robust effects of mixture in Experiment 1, the results suggest that O2 position effects in this paradigm might reflect task specific demands associated with mixed operations.en_US
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Publication statusacceptedVersion
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Review statusreviewed
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SponsorshipThis work was supported by a Discovery Grant awarded to Jamie Campbell by the Natural Sciences and Engineering Research Council of Canada.en_US
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CitationCampbell, J., Chen, Y., & Azhar, M. (in press). Not toeing the number line for simple arithmetic: Two large-n conceptual replications of Mathieu et al. (Cognition, 2016, Experiment 1) [Author accepted manuscript]. Journal of Numerical Cognition. http://doi.org/10.23668/psycharchives.4953en_US
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ISSN2363-8761
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Persistent Identifierhttps://hdl.handle.net/20.500.12034/4381
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Persistent Identifierhttps://doi.org/10.23668/psycharchives.4953
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Language of contentengen_US
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PublisherPsychArchivesen_US
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Is version ofhttps://doi.org/10.5964/jnc.6051
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Is version ofhttps://doi.org/10.23668/psycharchives.6104
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Is related tohttp://doi.org/10.23668/psycharchives.5221
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Is related tohttps://doi.org/10.23668/psycharchives.6104
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Keyword(s)replicationen_US
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Keyword(s)simple addition and subtractionen_US
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Keyword(s)spatial attentionen_US
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Dewey Decimal Classification number(s)150
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TitleNot Toeing the Number Line for Simple Arithmetic: Two Large-n Conceptual Replications of Mathieu et al. (Cognition, 2016, Experiment 1)en_US
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DRO typearticleen_US
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Journal titleJournal of Numerical Cognition
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Visible tag(s)PsychOpen GOLDen_US
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Visible tag(s)Accepted Manuscripten_US