Hostname: page-component-745bb68f8f-v2bm5 Total loading time: 0 Render date: 2025-01-07T17:31:15.852Z Has data issue: false hasContentIssue false
  • English
  • Français

Simultaneous Component Analysis by Means of Tucker3

Published online by Cambridge University Press:  01 January 2025

Alwin Stegeman Open the ORCID record for Alwin Stegeman [Opens in a new window]
Alwin Stegeman*
Affiliation:
KU Leuven – Kulak
*
Correspondence should be made to Alwin Stegeman, Group Science, Engineering and Technology, KU Leuven – Kulak, E. Sabbelaan 53, 8500 Kortrijk, Belgium. Email: [email protected] http://www.alwinstegeman.nl
Get access Rights & Permissions [Opens in a new window]

Abstract

A new model for simultaneous component analysis (SCA) is introduced that contains the existing SCA models with common loading matrix as special cases. The new SCA-T3 model is a multi-set generalization of the Tucker3 model for component analysis of three-way data. For each mode (observational units, variables, sets) a different number of components can be chosen and the obtained solution can be rotated without loss of fit to facilitate interpretation. SCA-T3 can be fitted on centered multi-set data and also on the corresponding covariance matrices. For this purpose, alternating least squares algorithms are derived. SCA-T3 is evaluated in a simulation study, and its practical merits are demonstrated for several benchmark datasets.

Keywords

simultaneous components analysismulti-set datatuckerparafacrotation
Type
Original Paper
Information
Psychometrika , Volume 83 , Issue 1 , March 2018 , pp. 21 - 47
Copyright
Copyright © 2017 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

Electronic supplementary material The online version of this article (doi:10.1007/s11336-017-9568-7) contains supplementary material, which is available to authorized users.

Supplementary material: File

Stegeman supplementary material

Stegeman supplementary material
Download Stegeman supplementary material(File)
File 122.5 KB