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Sparse STATIS-Dual via Elastic Net

Author

Listed:
  • Carmen C. Rodríguez-Martínez

    (Departamento de Estadística, Universidad de Panamá, Panamá 0824, Panama)

  • Mitzi Cubilla-Montilla

    (Departamento de Estadística, Universidad de Panamá, Panamá 0824, Panama
    Sistema Nacional de Investigación, Secretaría Nacional de Ciencia, Tecnología e Innovación (SENACYT), Panamá 0824, Panama)

  • Purificación Vicente-Galindo

    (Department of Statistics, University of Salamanca, 37008 Salamanca, Spain
    Instituto de Investigación Biomédica (IBSAL), 37007 Salamanca, Spain)

  • Purificación Galindo-Villardón

    (Department of Statistics, University of Salamanca, 37008 Salamanca, Spain
    Instituto de Investigación Biomédica (IBSAL), 37007 Salamanca, Spain)

Abstract

Multi-set multivariate data analysis methods provide a way to analyze a series of tables together. In particular, the STATIS-dual method is applied in data tables where individuals can vary from one table to another, but the variables that are analyzed remain fixed. However, when you have a large number of variables or indicators, interpretation through traditional multiple-set methods is complex. For this reason, in this paper, a new methodology is proposed, which we have called Sparse STATIS-dual. This implements the elastic net penalty technique which seeks to retain the most important variables of the model and obtain more precise and interpretable results. As a complement to the new methodology and to materialize its application to data tables with fixed variables, a package is created in the R programming language, under the name Sparse STATIS-dual. Finally, an application to real data is presented and a comparison of results is made between the STATIS-dual and the Sparse STATIS-dual. The proposed method improves the informative capacity of the data and offers more easily interpretable solutions.

Suggested Citation

  • Carmen C. Rodríguez-Martínez & Mitzi Cubilla-Montilla & Purificación Vicente-Galindo & Purificación Galindo-Villardón, 2021. "Sparse STATIS-Dual via Elastic Net," Mathematics, MDPI, vol. 9(17), pages 1-15, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:17:p:2094-:d:624979
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    References listed on IDEAS

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    Cited by:

    1. Carmen C. Rodríguez-Martínez & Mitzi Cubilla-Montilla & Purificación Vicente-Galindo & Purificación Galindo-Villardón, 2023. "X-STATIS: A Multivariate Approach to Characterize the Evolution of E-Participation, from a Global Perspective," Mathematics, MDPI, vol. 11(6), pages 1-15, March.

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