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The spatial arrangement method of measuring similarity can capture high-dimensional, semantic structures

Abstract

Despite its centrality to cognition, similarity is expensive tomeasure, spurring development of techniques like the SpatialArrangement Method (SpAM), wherein participants placeitems on a 2-dimensional plane such that proximity reflectssimilarity. While SpAM hastens similarity measurement, itssuitability for higher-dimensional stimuli is unknown. InStudy 1, we collected SpAM data for eight differentcategories composed of 20-30 words each. Participant-aggregated SpAM distances correlated strongly (r=.71) withpairwise similarity judgments, although below SpAM andpairwise judgment split-half reliabilities (r’s>.9), and cross-validation with multidimensional scaling fits at increasingdimensionalities suggested that aggregated SpAM datafavored higher dimensional solutions for 7 of the 8 categories.In study 2, we showed that SpAM can recover the Big Fivefactor space of personality traits, and that cross-validationfavors a four- or five-dimension solution on this dataset. Weconclude that SpAM is an accurate and reliable method ofmeasuring similarity for high-dimensional items.

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