Whether the Pairwise Rating Method and the Spatial Arrangement Method yield comparable dimensionalities depends on the dimensionality choice procedure

Steven Verheyen; Gert Storms

doi:10.1016/j.metip.2021.100060

Whether the Pairwise Rating Method and the Spatial Arrangement Method yield comparable dimensionalities depends on the dimensionality choice procedure

Steven Verheyen, Gert Storms

Brain and Cognition

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

We investigate whether the Pairwise Rating Method (PRaM) and the Spatial Arrangement Method (SpAM) yield multidimensional scaling (MDS) solutions of comparable dimensionality. Across three studies that included twelve semantic categories with varying numbers of both pictorial and verbal exemplars, we did not find consistent dimensionality differences between the two similarity measurement methods. The results alleviate the concern that SpAM might underestimate the dimensionality of high-dimensional stimuli compared to PRaM. However, the resulting number of dimensions was found to be highly dependent on the dimensionality choice procedure, indicating the need for a more systematic investigation into dimensionality selection for MDS.

Original language	English
Article number	100060
Journal	Methods in Psychology
Volume	5
DOIs	https://doi.org/10.1016/j.metip.2021.100060
Publication status	Published - 1 Dec 2021

Bibliographical note

Funding Information:
The authors declare the following financial interests/personal relationships which may be considered as potential competing interests: This work was supported by the KU Leuven Research Council under Grant C14/16032 . The funders of this research did not have a role in the design and conduct of the study; collection, management, analysis, and interpretation of data; preparation, review, or approval of the manuscript; or decision to submit the manuscript for publication. SV is temporarily employed by Erasmus University Rotterdam. His evaluation, further employment, and ability to obtain research funding are partly dependent on the number of articles he publishes. In previous work, SV and GS have raised concerns regarding the ability of SpAM to yield high-dimensional spatial representations.

Funding Information:
The authors declare the following financial interests/personal relationships which may be considered as potential competing interests: This work was supported by the KU Leuven Research Council under Grant C14/16032. The funders of this research did not have a role in the design and conduct of the study; collection, management, analysis, and interpretation of data; preparation, review, or approval of the manuscript; or decision to submit the manuscript for publication. SV is temporarily employed by Erasmus University Rotterdam. His evaluation, further employment, and ability to obtain research funding are partly dependent on the number of articles he publishes. In previous work, SV and GS have raised concerns regarding the ability of SpAM to yield high-dimensional spatial representations.

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© 2021 The Authors

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Cite this

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abstract = "We investigate whether the Pairwise Rating Method (PRaM) and the Spatial Arrangement Method (SpAM) yield multidimensional scaling (MDS) solutions of comparable dimensionality. Across three studies that included twelve semantic categories with varying numbers of both pictorial and verbal exemplars, we did not find consistent dimensionality differences between the two similarity measurement methods. The results alleviate the concern that SpAM might underestimate the dimensionality of high-dimensional stimuli compared to PRaM. However, the resulting number of dimensions was found to be highly dependent on the dimensionality choice procedure, indicating the need for a more systematic investigation into dimensionality selection for MDS.",

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Whether the Pairwise Rating Method and the Spatial Arrangement Method yield comparable dimensionalities depends on the dimensionality choice procedure

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