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Development of a new system for analysis of multiarray data with mutually complex relationship

Research Project

Project/Area Number 01301076
Research Category

Grant-in-Aid for Co-operative Research (A)

Allocation TypeSingle-year Grants
Research Field 統計学
Research InstitutionUniversity of Tsukuba

Principal Investigator

YOSHIZAWA Tadashi  The Univ. of Tsukuba, Social Eng., Prof., 社会工学系, 教授 (50010781)

Co-Investigator(Kenkyū-buntansha) TANAKA Y.  Okayama Univ. Culture, Prof., 教養部, 教授 (20127567)
SHIMURA K.  Ryukyu Univ. Law and literature, Associate Prof., 法文学部, 助教授 (20126650)
IWATSUBO S.  University Examination Center, Research and Development, Prof., 研究開発部, 教授 (20141997)
Project Period (FY) 1989 – 1991
Project Status Completed (Fiscal Year 1991)
Budget Amount *help
¥7,300,000 (Direct Cost: ¥7,300,000)
Fiscal Year 1991: ¥2,000,000 (Direct Cost: ¥2,000,000)
Fiscal Year 1990: ¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 1989: ¥2,300,000 (Direct Cost: ¥2,300,000)
KeywordsData analysis / Multiarray data / singular value Decompositoin / Multiway data
Research Abstract

(1) various types of statistical multiarray data were gathered and the objectives of analyses for those data were comparatively studied.
(2) The methods and algorithms were organized and the broad and proper requirments for computer software to analyse multiarray data.
(3) Exploratory data analysis of stratified multiarray data and paired comparison data was recognized to be important, prior to multi-mode principal component analysis.
(4) Decomposition of stratified multivariate data to the components of "between strata" and "within strata" is fundamental.
(5) Hierarchical principal component analysis was extensively studied by Prof. Murakami.
(6) A personal computer software for singular value decomposiotin proposed by Yoshizawa was developed in cooperation with prof. Shimura. This type of decomposition is a basic tool for analysis of multiarray data.

Report

(4 results)
  • 1991 Annual Research Report   Final Research Report Summary
  • 1990 Annual Research Report
  • 1989 Annual Research Report
  • Research Products

    (17 results)

All Other

All Publications (17 results)

  • [Publications] 吉澤 正: "多重配列デ-タとその解析" 統計. 42. 35-43 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 大津 起夫: "グラフ表現を用いた対話的概念クラスタリング" 行動計量学. 18. 65-80 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 村上 隆: "多群・多集合・多相デ-タの主成分分析について" 行動計量学. 18. 28-40 (1990)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 村上 隆: "多集合ー多群デ-タの階層的主成分分析" 名古屋大学教育学部紀要ー教育心理学科. 155-166 (1991)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Yoshizawa: "Multiarray data and those analyses" Toukei. 42. 35-43 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] Y. Ohtsu: "Conversational concept-clustering with graph representation" Koudou-Keiryougaku. 18. 65-80 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Murakami: "Princial component analysis of multi-set, -group, -mode data" Koudou-Keiryougaku. 18. 28-40 (1990)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] T. Murakami: "Hierarchial Principal component analysis of multi-set and multi-mode data." Reports of the faculty of education, Nagoya Univ. 155-166 (1991)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1991 Final Research Report Summary
  • [Publications] 吉澤 正: "多重配列デ-タとその解析" 統計. 42. 35-43 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] 大津 起夫: "グラフ表現を用いた対話的概念クラスタリング" 行動計量学. 18. 65-80 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] 村上 隆: "多群・多集合・多相デ-タの主成分分析について" 行動計量学. 18. 28-40 (1990)

    • Related Report
      1991 Annual Research Report
  • [Publications] 村上 隆: "多集合ー多群デ-タの階層的主成分分析" 名古屋大学教育学部紀要ー教育心理学科. 155-166 (1991)

    • Related Report
      1991 Annual Research Report
  • [Publications] Tanaka Y.(田中 豊): "Sensitivity analysis in multi variate methods:decomposition of an arbitrary inflluence into a finite number of components" Communication of Statistics A. 19. 1323-1341 (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] Yanai H.(柳井 晴夫): "Canonical correlation with linear constraints" Linear Algebra & Its Applicalions. (1990)

    • Related Report
      1990 Annual Research Report
  • [Publications] 吉澤 正・岩坪 秀一(編): "高度な相互関連をもつ多重配列デ-タの新しい解析システムの開発" 当研究班の平成2年報告書, 155 (1991)

    • Related Report
      1990 Annual Research Report
  • [Publications] 柳井晴夫・岩坪秀一・石塚智一(編): "人間行動の数量分析" 東大出版会, 350 (1990)

    • Related Report
      1989 Annual Research Report
  • [Publications] 吉澤正・岩坪秀一(編): "高度な相互関連をもつ多重配列デ-タの新しい解析システムの開発" (当研究班の平成元年報告書), 100 (1990)

    • Related Report
      1989 Annual Research Report

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Published: 1989-04-01   Modified: 2016-04-21  

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