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Sparse and Simple Structure Estimation via Prenet Penalization.

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  • المؤلفون: Hirose K;Hirose K;Hirose K; Terada Y; Terada Y; Terada Y
  • المصدر:
    Psychometrika [Psychometrika] 2023 Dec; Vol. 88 (4), pp. 1381-1406. Date of Electronic Publication: 2022 May 23.
  • نوع النشر :
    Journal Article; Research Support, Non-U.S. Gov't
  • اللغة:
    English
  • معلومة اضافية
    • المصدر:
      Publisher: Psychometric Society Country of Publication: United States NLM ID: 0376503 Publication Model: Print-Electronic Cited Medium: Internet ISSN: 1860-0980 (Electronic) Linking ISSN: 00333123 NLM ISO Abbreviation: Psychometrika Subsets: MEDLINE
    • بيانات النشر:
      Original Publication: Research Triangle Park, VA : Psychometric Society
    • الموضوع:
      Algorithms*; Psychometrics ; Computer Simulation ; Cluster Analysis ; Factor Analysis, Statistical
    • نبذة مختصرة :
      We propose a prenet (product-based elastic net), a novel penalization method for factor analysis models. The penalty is based on the product of a pair of elements in each row of the loading matrix. The prenet not only shrinks some of the factor loadings toward exactly zero but also enhances the simplicity of the loading matrix, which plays an important role in the interpretation of the common factors. In particular, with a large amount of prenet penalization, the estimated loading matrix possesses a perfect simple structure, which is known as a desirable structure in terms of the simplicity of the loading matrix. Furthermore, the perfect simple structure estimation via the proposed penalization turns out to be a generalization of the k-means clustering of variables. On the other hand, a mild amount of the penalization approximates a loading matrix estimated by the quartimin rotation, one of the most commonly used oblique rotation techniques. Simulation studies compare the performance of our proposed penalization with that of existing methods under a variety of settings. The usefulness of the perfect simple structure estimation via our proposed procedure is presented through various real data applications.
      (© 2022. The Author(s).)
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    • Grant Information:
      19K11862 Japan Society for the Promotion of Science
    • Contributed Indexing:
      Keywords: multivariate analysis; penalized maximum likelihood estimation; perfect simple structure; quartimin rotation; sparse estimation
    • الموضوع:
      Date Created: 20220523 Date Completed: 20231120 Latest Revision: 20241013
    • الموضوع:
      20241013
    • الرقم المعرف:
      PMC10656346
    • الرقم المعرف:
      10.1007/s11336-022-09868-4
    • الرقم المعرف:
      35606611