Title
Archetypal Analysis For Ordinal Data
Abstract
Archetypoid analysis (ADA) is an exploratory approach that explains a set of continuous observations as mixtures of pure (extreme) patterns. Those patterns (archetypoids) are actual observations of the sample which makes the results of this technique easily interpretable, even for non-experts. Note that the observations are approximated as a convex combination of the archetypoids. Archetypoid analysis, in its current form, cannot be applied directly to ordinal data. We propose and describe a two-step method for applying ADA to ordinal responses based on the ordered stereotype model. One of the main advantages of this model is that it allows us to convert the ordinal data to numerical values, using a new data-driven spacing that better reflects the ordinal patterns of the data, and this numerical conversion then enables us to apply ADA straightforwardly. The results of the novel method are presented for two behavioural science applications. Finally, the proposed method is also compared with other unsupervised statistical learning methods. (c) 2021 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
Year
DOI
Venue
2021
10.1016/j.ins.2021.07.095
INFORMATION SCIENCES
Keywords
DocType
Volume
Archetypal analysis, Ordinal data, Ordered stereotype model, Uneven spacing
Journal
579
ISSN
Citations 
PageRank 
0020-0255
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Daniel Fernández100.68
I. Epifanio213238.01
Louise Fastier McMillan300.34