Finding archetypal patterns for binary questionnaires

Ismael Cabero ^[1] ; Irene Epifanio ^[2]
1. [1] Universidad Internacional de La Rioja
  
  Universidad Internacional de La Rioja
  
  Logroño, España
2. [2] Universitat Jaume I
  
  Universitat Jaume I
  
  Castellón, España
Localización: Sort: Statistics and Operations Research Transactions, ISSN 1696-2281, Vol. 44, Nº. 1, 2020, págs. 39-66
Idioma: inglés
Enlaces
- Texto completo (pdf)

Resumen
- Archetypal analysis is an exploratory tool that explains a set of observations as mixtures of pure (extreme) patterns. If the patterns are actual observations of the sample, we refer to them as archetypoids. For the first time, we propose to use archetypoid analysis for binary observations. This tool can contribute to the understanding of a binary data set, as in the multivariate case. We illustrate the advantages of the proposed methodology in a simulation study and two applications, one exploring objects (rows) and the other exploring items (columns). One is related to determining student skill set profiles and the other to describing item response functions.