Finding archetypal patterns for binary questionnaires

  1. Ismael Cabero 1
  2. Irene Epifanio 2
  1. 1 Universidad Internacional de La Rioja
    info

    Universidad Internacional de La Rioja

    Logroño, España

    ROR https://ror.org/029gnnp81

  2. 2 Universitat Jaume I
    info

    Universitat Jaume I

    Castelló de la Plana, España

    ROR https://ror.org/02ws1xc11

Revue:
Sort: Statistics and Operations Research Transactions

ISSN: 1696-2281

Année de publication: 2020

Volumen: 44

Número: 1

Pages: 39-66

Type: Article

DOI: 10.2436/20.8080.02.94 DIALNET GOOGLE SCHOLAR lock_openAccès ouvert editor

D'autres publications dans: Sort: Statistics and Operations Research Transactions

Résumé

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.

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Information sur le financement

This work is supported by the following grants: DPI2017-87333-R from the Spanish Ministry of Science, Innovation and Universities (AEI/FEDER, EU) and UJI-B2017-13 from Universitat Jaume I.

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