Gradient projection algorithms and software for arbitrary rotation criteria in factor analysis.

Almost all modern rotation of factor loadings is based on optimizing a criterion, for example, the quartimax criterion for quartimax rotation. Recent advancements in numerical methods have led to general orthogonal and oblique algorithms for optimizing essentially any rotation criterion. All that is...

Descripción completa

Detalles Bibliográficos
Publicado en:Educational & Psychological Measurement Vol. 65; no. 5; pp. 770 - 791
Autores principales: Bernaards CA, Jennrich RI
Formato: equations & formulas tables/charts Journal Article
Publicado: Sage Publications Inc. Oct2005
Acceso en línea:Ver este registro en EBSCOhost
fields @attributes:
  recordID: 1
pdfLink:
plink: https://search.ebscohost.com/login.aspx?direct=true&db=ccm&AN=106532242&site=ehost-live
header:
  @attributes:
    shortDbName: ccm
    uiTerm: 106532242
    longDbName: CINAHL Complete
    uiTag: AN
  controlInfo:
    bkinfo:
    dissinfo:
    jinfo:
      jid:
        00131644
        EPM
      jtl: Educational & Psychological Measurement
      issn: 00131644
      maglogo: Y
    pubinfo:
      dt: Oct2005
      vid: 65
      iid: 5
      pid: 344
      pub: Sage Publications Inc.
      place: Thousand Oaks, California
    artinfo:
      ui:
        106532242
        18446659
        2009042855
        10.1177/0013164404272507
        106532242
      ppf: 770
      ppct: 21
      formats:
      tig:
        atl: Gradient projection algorithms and software for arbitrary rotation criteria in factor analysis.
      aug:
        au:
          Bernaards CA
          Jennrich RI
        affil: Genentech Inc, Oncology Biostatistics, 1 DNA Way, South San Francisco, CA 94080; bernaards.coen@gene.com
      sug:
        subj:
          Data Analysis Software
          Factor Analysis Evaluation
          Algorithms
          Models, Statistical
      ab: Almost all modern rotation of factor loadings is based on optimizing a criterion, for example, the quartimax criterion for quartimax rotation. Recent advancements in numerical methods have led to general orthogonal and oblique algorithms for optimizing essentially any rotation criterion. All that is required for a specific application is a definition of the criterion and its gradient. The authors present the implementations of gradient projection algorithms, both orthogonal and oblique, as well as a catalogue of rotation criteria and corresponding gradients. Software for these is downloadable and free; a specific version is given for each of the computing environments used most by statisticians. Examples of rotation methods are presented by applying them to a loading matrix from Wehmeyer and Palmer.
      pubtype: Academic Journal
      doctype:
        equations & formulas
        tables/charts
        Journal Article
      ougenre: Article
    language: English
    refInfo:
    holdings:
      @attributes:
        islocal: N