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The main aim of the proposal is to simultaneously summarize the objects through clusters and both variables and subjects through components. The object clusters are found by adopting a <jats:italic>K<\/jats:italic>-means-based strategy where the centroids are reduced according to the Candecomp\/Parafac model in order to exploit the three-way structure of the data. The clustering process is carried out in order to reveal between-cluster differences in mean. Least-squares fitting is performed by using an iterative alternating least-squares algorithm. Model selection is addressed by considering an elbow-based method. An extensive simulation study and some real-life applications show the effectiveness of the proposal, also in comparison with its potential competitors.<\/jats:p>","DOI":"10.1007\/s00357-023-09440-4","type":"journal-article","created":{"date-parts":[[2023,6,15]],"date-time":"2023-06-15T02:01:40Z","timestamp":1686794500000},"page":"432-465","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["CPclus: Candecomp\/Parafac Clustering Model for Three-Way Data"],"prefix":"10.1007","volume":"40","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2821-2991","authenticated-orcid":false,"given":"Donatella","family":"Vicari","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4091-3165","authenticated-orcid":false,"given":"Paolo","family":"Giordani","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,6,15]]},"reference":[{"key":"9440_CR1","doi-asserted-by":"publisher","first-page":"18","DOI":"10.1016\/j.foodqual.2017.01.006","volume":"67","author":"V Cariou","year":"2018","unstructured":"Cariou, V., & Wilderjans, T. 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