質的データに対する非計量三相主成分分析法

• 中村 裕子

  大阪大学人間科学研究科

書誌事項

タイトル別名

• Nonmetric three-mode principal component analysis for qualitative data
• シツテキ データ ニ タイスル ヒケイリョウ サンソウ シュセイブン ブンセキホウ

抄録

TUCKER3 (Tucker, 1966) is one of the methods of principal component analysis (PCA) for “quantitative” three-mode data. In this paper,we extend TUCKER3 to “nonmetric” three-mode PCA by deriving quantification scores. We also present an alternating least squares algorithm for finding optimal solution of nonmetric three-mode PCA by updating parameters such as quantification scores, loading matrices and core matrix successively. Calculating quantification scores of qualitative variables allows us to exclude arbitrariness which is included in questionnaire, such as the coding of nominal variables and the equality of intervals of ordinal variables. Two real data examples are given to illustrate the effectiveness of the proposed procedure.

収録刊行物

• 行動計量学

  行動計量学 42 (2), 105-115, 2015

  日本行動計量学会

キーワード

• 数量化
• 非計量主成分分析
• TUCKER3
• 三相主成分分析

詳細情報

• CRID: 1390282680156791808
• NII論文ID: 130005161531
• NII書誌ID: AN0008437X
• DOI: 10.2333/jbhmk.42.105
• ISSN: 18804705
• ISSN: 03855481
• NDL書誌ID: 026836636
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I026836636
• Web Site: https://www.jstage.jst.go.jp/article/jbhmk/42/2/42_105/_pdf
• 本文言語コード: ja
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可