Revistes Publicacions URV: SORT - Statistics and Operations Research Transactions> 2020

Finding archetypal patterns for binary questionnaires

  • Identification data

    Identifier: RP:4683
    Handle: https://hdl.handle.net/20.500.11797/RP4683
    Authors:
    Epifanio, IreneCabero, Ismael
    Abstract:
    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.

  • Others:

    Author, as appears in the article.: Epifanio, Irene Cabero, Ismael
    Keywords: dichotomous item test
    Abstract: 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.
    Journal publication year: 2020
    Publication Type: ##rt.metadata.pkp.peerReviewed## info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article