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Application of Random Matrix Theory to sociological data analysis

Research Project

Project/Area Number 23530630
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Sociology
Research InstitutionRitsumeikan University

Principal Investigator

NAKAI MIKI  立命館大学, 産業社会学部, 教授 (00241282)

Research Collaborator GRAZIANO Vernizzi  Siena College, Department of Physics and Astronomy, Associate Professor
Project Period (FY) 2011 – 2013
Project Status Completed (Fiscal Year 2013)
Budget Amount *help
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords社会調査データ / 共分散行列 / ランダム行列理論 / カテゴリカル変数 / 社会学的データ / 欠損データ / 多変量解析 / 共分散 / 行列理論
Research Abstract

We have been applying the novel geometrical framework for computing variance-covariance matrices and linear correlation matrices for sets of heterogenous variables (meaning for system of variables that can be continuous or categorical), introduced first in our paper (forthcoming). We have tested the efficiency and limitations of the approach when applied to statistical analysis of sociological data. In particular, we are advancing a variance-covariance analysis of the 2005 Japanese national survey on social stratification and mobility (SSM2005). Such an analysis gives us the opportunity to apply our recent mathematical tools in conjunction with the application of Random Matrix Theory (RMT) for filtering the covariance matrix of the data, and eliminating the statistical noise due to the complex structure of the questionnaire, and to the finite size of the respondents. Moreover, we apply the analysis to the SSP2010 data and comment on a number of different RMT techniques and tools.

Report

(4 results)
  • 2013 Annual Research Report   Final Research Report ( PDF )
  • 2012 Research-status Report
  • 2011 Research-status Report
  • Research Products

    (11 results)

All 2013 2012 2011 Other

All Journal Article (3 results) (of which Peer Reviewed: 3 results) Presentation (5 results) Book (3 results)

  • [Journal Article] "Socio-economic and Gender Differences in Voluntary Participation in Japan,"2013

    • Author(s)
      Nakai, Miki
    • Journal Title

      German-Japanese Interchange of Data Analysis Results

      Volume: なし Pages: 225-234

    • DOI

      10.1007/978-3-319-01264-3_20

    • ISBN
      9783319012636, 9783319012643
    • Related Report
      2013 Annual Research Report 2013 Final Research Report
    • Peer Reviewed
  • [Journal Article] Social Stratification and Consumption Patterns : Cultural Practices and lifestyles in Japan2011

    • Author(s)
      Nakai, Miki
    • Journal Title

      New Perspectives in Statistical Modeling and Data Analysis

      Volume: - Pages: 211-218

    • DOI

      10.1007/978-3-642-11363-5_24

    • ISBN
      9783642113628, 9783642113635
    • Related Report
      2013 Final Research Report 2011 Research-status Report
    • Peer Reviewed
  • [Journal Article] A Geometrical Framework for Covariance Matrices of Continuous and Categorical Variables

    • Author(s)
      Vernizzi, G. and Miki Nakai
    • Journal Title

      Sociological Methods & Research

      Volume: (掲載決定済)

    • Related Report
      2013 Final Research Report
    • Peer Reviewed
  • [Presentation] Patterns of Cultural Practices and Characteristics of the Cultural Omnivore2013

    • Author(s)
      Nakai, Miki
    • Organizer
      IFCS2013
    • Place of Presentation
      University of Tilburg, The Netherlands
    • Related Report
      2013 Final Research Report
  • [Presentation] Patterns of Cultural Practices and Characteristics of the Cultural Omnivore2013

    • Author(s)
      Nakai, Miki
    • Organizer
      Conference of the International Federation of Classification Societies, IFCS-2013
    • Place of Presentation
      University of Tilburg, The Netherlands
    • Related Report
      2013 Annual Research Report
  • [Presentation] 「Web調査における公募型モニターと非公募型モニターの回答傾向」2012

    • Author(s)
      樋口耕一・中井美樹・湊邦生
    • Organizer
      第53回数理社会学会大会
    • Place of Presentation
      鹿児島大学 (鹿児島県)
    • Related Report
      2011 Research-status Report
  • [Presentation] Class and Gender Differences in Cultural Participation : Asymmetric Multidimensional Scaling of Cultural Consumption2011

    • Author(s)
      Nakai, Miki
    • Organizer
      The 8th International Meeting of the Classification and Data Anaysis Group of the Italian Statistical Society (CLADAG)
    • Place of Presentation
      Universita degli Studi di Pavia
    • Related Report
      2013 Final Research Report
  • [Presentation] "Class and Gender Differences in Cultural Participation: Asymmetric Multidimensional Scaling of Cultural Consumption."2011

    • Author(s)
      Nakai, Miki
    • Organizer
      The 8th International Meeting of the Classification and Data Anaysis Group of the Italian Statistical Society (CLADAG)
    • Place of Presentation
      Universita degli Studi di Pavia (Italy, Pavia)
    • Related Report
      2011 Research-status Report
  • [Book] データ分析入門―基礎統計―2012

    • Author(s)
      岡太彬訓・中井美樹・元治恵子
    • Total Pages
      176
    • Publisher
      共立出版
    • Related Report
      2013 Final Research Report
  • [Book] データ分析入門―基礎統計―2012

    • Author(s)
      岡太 彬訓・中井 美樹・元治 恵子
    • Total Pages
      166
    • Publisher
      共立出版
    • Related Report
      2012 Research-status Report
  • [Book] 『現代の社会階層 1 格差と多様性』2011

    • Author(s)
      佐藤嘉倫・尾嶋史章編、中井美樹
    • Publisher
      東京大学出版会
    • Related Report
      2011 Research-status Report

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Published: 2011-08-05   Modified: 2019-07-29  

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