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One-Mode Multi-Way Data Analysis Using Multidimensional Scaling

Research Project

Project/Area Number 20700257
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field Statistical science
Research InstitutionRikkyo University (2008, 2010)
Nagasaki University (2009)

Principal Investigator

NAKAYAMA Atsuho  Rikkyo University, 社会科学研究科, 准教授 (60434198)

Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2008: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
KeywordsConditional association / Dyadic relationships / Marginal association / Multidimensional scaling / Multi-way relationships / Triadic distance / Visualization / Dadic relationships
Research Abstract

The purpose of present study is to examine whether one-mode multi-way multidimensional scaling (MDS) is necessary or not. In the previous studies, it is concluded that the results of a one-mode three-way MDS are similar to that of a one-mode two-way MDS. The reason for such similarity is that strong influences of dyadic relationships on triadic relationships would be included in one-mode three-way proximity data. If, the results of a one-mode three-way MDS are similar to that of a one-mode two-way MDS, dyadic relationships strongly influences triadic relationships. On the other hand, if the results of a one-mode three-way MDS are not similar to that of a one-mode two-way MDS, dyadic relationships weakly influences triadic relationships. Under weak influence of the dyadic relationships, the triadic and dyadic relationships would be separately analyzed. So, the present study compares the results obtained from marginal association with that of conditional association. It examined whether one-mode multi-way multidimensional scaling model is necessary or not. Finally, the proposed model was applied to the consumer behavior data.

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (31 results)

All 2010 2009 2008 Other

All Journal Article (9 results) (of which Peer Reviewed: 8 results) Presentation (17 results) Book (5 results)

  • [Journal Article] One-mode three-way overlapping cluster analysis2009

    • Author(s)
      S.Yokoyama, A.Nakayama, A.Okada
    • Journal Title

      Computational Statistics Volume 24, issue 1

      Pages: 165-179

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Analysis of purchase intentions at a department store by three-way distance model2009

    • Author(s)
      A.Nakayama
    • Journal Title

      Cooperation in classification and data analysis

      Pages: 189-196

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] 複数カテゴリ購買行動の多元距離モデルによる分析2009

    • Author(s)
      中山厚穂
    • Journal Title

      立教ビジネスレビュー Vol.2

      Pages: 92-102

    • NAID

      110007053208

    • Related Report
      2010 Final Research Report
  • [Journal Article] Analysis of purchase intentions at a department store by three-way distance model.2009

    • Author(s)
      Nakayama, A.
    • Journal Title

      Cooperation in classification and data analysis

      Pages: 189-196

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 複数カテゴリ購買行動の多元距離モデルによる分析2009

    • Author(s)
      中山厚穂
    • Journal Title

      立教ビジネスレビュー 第2号(印刷中)

    • NAID

      110007053208

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] One-mode three-way overlapping cluster analysis2009

    • Author(s)
      S. Yokoyama, A. Nakayama, and A. Okada
    • Journal Title

      Computational Statistics Volume 24, issue 1

      Pages: 165-179

    • Related Report
      2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] INDSCALにおける低次元解と高次元解を用いた併用解釈-百貨店でのシーズンごとのテナント間利用とレイアウト変更の影響の視覚的把握-2008

    • Author(s)
      中山厚穂・鶴見裕之
    • Journal Title

      行動計量学 Vol.35, No.1

      Pages: 103-118

    • NAID

      110006652924

    • Related Report
      2010 Final Research Report 2008 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Reconstructing One-mode Three-way Asymmetric Data for Multidimensional Scaling.

    • Author(s)
      A. Nakayama, A.Okada.
    • Journal Title

      Proceedings of 34th Annual Conference of the German Classification Society (印刷中)

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Reconstructing One-mode Three-way Asymmetric Data for Multidimensional Scaling

    • Author(s)
      Nakayama, A., Okada, A.
    • Journal Title

      Proceedings of 34th Annual Conference of the German Classification Society

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Presentation] 製品時系列に沿った消費者のBlog記事特性の把握2010

    • Author(s)
      増田純也・中山厚穂・鶴見裕之
    • Organizer
      日本行動計量学会第38回大会
    • Place of Presentation
      埼玉大学
    • Year and Date
      2010-09-23
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] 3元非対称データの基準化法の提案2010

    • Author(s)
      中山厚穂・岡太彬訓
    • Organizer
      日本行動計量学会第38回大会
    • Place of Presentation
      埼玉大学
    • Year and Date
      2010-09-23
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] Reconstructing one-mode three-way asymmetric data for multidimensional scaling2010

    • Author(s)
      A.Nakayama, A.Okada
    • Organizer
      34th Annual Conference of the German Classification Society
    • Place of Presentation
      Karlsruhe Institute of Technology, German.
    • Year and Date
      2010-07-22
    • Related Report
      2010 Final Research Report
  • [Presentation] Reconstructing one-mode three-way asymmetric data for multidimensional scaling2010

    • Author(s)
      Nakayama, A., Okada, A.
    • Organizer
      34th Annual Conference of the German Classification Society
    • Place of Presentation
      Karlsruhe Institute of Technology, German
    • Year and Date
      2010-07-22
    • Related Report
      2010 Annual Research Report
  • [Presentation] Analysis of conditional and marginal association in one-mode three-way proximity data2010

    • Author(s)
      A.Nakayama
    • Organizer
      3rd German-Japanese Workshop
    • Place of Presentation
      Karlsruhe Institute of Technology, German.
    • Year and Date
      2010-07-21
    • Related Report
      2010 Final Research Report
  • [Presentation] Analysis of conditional and marginal association in one-mode three-way proximity data2010

    • Author(s)
      Nakayama, A.
    • Organizer
      3rd German-Japanese Workshop
    • Place of Presentation
      Karlsruhe Institute of Technology, German
    • Year and Date
      2010-07-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] 食卓登場メニューにおける非対称性の分析2009

    • Author(s)
      中山厚穂・岡太彬訓・横山暁
    • Organizer
      日本行動計量学会第37回大会
    • Place of Presentation
      大分大学医学部
    • Year and Date
      2009-08-06
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] 消費者の情報検索行動の解明2009

    • Author(s)
      中山厚穂
    • Organizer
      日本行動計量学会第37回大会
    • Place of Presentation
      大分大学医学部
    • Year and Date
      2009-08-05
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] 複クラスター分析法を用いた単相親近度データの分析2009

    • Author(s)
      横山暁・中山厚穂・岡太彬訓
    • Organizer
      日本分類学会第25回研究報告会
    • Place of Presentation
      多摩大学
    • Year and Date
      2009-03-21
    • Related Report
      2010 Final Research Report
  • [Presentation] 2つの対象間の関係を考慮した単相3元MDSについての研究2009

    • Author(s)
      中山厚穂
    • Organizer
      日本分類学会第25回研究報告会
    • Place of Presentation
      多摩大学
    • Year and Date
      2009-03-21
    • Related Report
      2010 Final Research Report 2008 Annual Research Report
  • [Presentation] 重複クラスター分析法を用いた単相親近度データの分析2009

    • Author(s)
      横山暁・中山厚穂・岡太彬訓
    • Organizer
      日本分類学会第25回研究報告会
    • Place of Presentation
      多摩大学
    • Year and Date
      2009-03-21
    • Related Report
      2008 Annual Research Report
  • [Presentation] Triadic distance model with consideration for dyadic relationships2009

    • Author(s)
      A.Nakayama
    • Organizer
      International Federation of Classification Societies 2009 Conference
    • Place of Presentation
      Technische Universitat, Dresden.
    • Year and Date
      2009-03-18
    • Related Report
      2010 Final Research Report
  • [Presentation] Triadic distance model with consideration for dyadic relationships2009

    • Author(s)
      A. Nakayama
    • Organizer
      International Federation of Classification Societies 2009 Conference
    • Place of Presentation
      Technische Universitat Dresden
    • Year and Date
      2009-03-18
    • Related Report
      2008 Annual Research Report
  • [Presentation] An application of one-mode three-way overlapping cluster analysis2009

    • Author(s)
      S.Yokoyama, A.Nakayama, A.Okada
    • Organizer
      International Federation of Classification Societies 2009 Conference
    • Place of Presentation
      Technische Universitat, Dresden.
    • Year and Date
      2009-03-17
    • Related Report
      2010 Final Research Report
  • [Presentation] An application of one-mode three-way overlapping cluster analysis2009

    • Author(s)
      S. Yokoyama, A. Nakayama, and A. Okada
    • Organizer
      International Federation of Classification Societies 2009 Conference
    • Place of Presentation
      Technische Universitat Dresden
    • Year and Date
      2009-03-17
    • Related Report
      2008 Annual Research Report
  • [Presentation] 消費者の複数カテゴリー購買行動の非対称性の分析2008

    • Author(s)
      中山厚穂・岡太彬訓
    • Organizer
      日本行動計量学会第36回大会
    • Place of Presentation
      成蹊大学
    • Year and Date
      2008-09-05
    • Related Report
      2010 Final Research Report 2008 Annual Research Report
  • [Presentation] 同時購買数の違いを考慮したコンビニエンス・ストアでの併売パターンの分析2008

    • Author(s)
      中山厚穂・鶴見裕之
    • Organizer
      日本行動計量学会第36回大会
    • Place of Presentation
      成蹊大学
    • Year and Date
      2008-09-03
    • Related Report
      2010 Final Research Report 2008 Annual Research Report
  • [Book] 特許情報のテキストマイニング 第2章(多変量データ解析技術応用によるデータの特徴把握)(豊田裕貴・菰田文男(編著))2010

    • Author(s)
      中山厚穂
    • Publisher
      ミネルヴァ書房
    • Related Report
      2010 Final Research Report
  • [Book] 特許テキストデータ解析のための基礎「R」 第8章(特許情報のテキストマイニング-技術経営のパラダイム転換)(豊田裕貴・菰田文男(編著))2010

    • Author(s)
      中山厚穂
    • Publisher
      ミネルヴァ書房
    • Related Report
      2010 Final Research Report
  • [Book] Excelソルバー多変量解析ポジショニング編2010

    • Author(s)
      中山厚穂
    • Total Pages
      199
    • Publisher
      日科技連出版社
    • Related Report
      2010 Final Research Report
  • [Book] 特許情報のテキストマイニング(2章・8章分担執筆)2010

    • Author(s)
      中山厚穂
    • Publisher
      ミネルヴァ書房
    • Related Report
      2010 Annual Research Report
  • [Book] Excelソルバー多変量解析因果関係分析・予測手法編2009

    • Author(s)
      中山厚穂
    • Total Pages
      319
    • Publisher
      日科技連出版社
    • Related Report
      2010 Final Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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