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Application of Random Matrix Theory to social survey data analysis

Research Project

Project/Area Number 17K04103
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)

Project Period (FY) 2017-04-01 – 2020-03-31
Project Status Completed (Fiscal Year 2019)
Budget Amount *help
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2019: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Keywordsランダム行列理論 / 社会調査データ / 欠損値を含むデータ / カテゴリカル・データ / 社会調査データの分析 / 欠損値を含む社会調査データ分析 / 観測データに依存する欠損 / 欠損値を含む社会調査データの処理 / 共分散行列 / 欠損値データの処理 / カテゴリカル変数 / 欠損値
Outline of Final Research Achievements

During the past three years, the project focused on applying matrix theory methods and computational methods to the optimization of the so-called Missing Data problem. The main results are:
1) The development of a new algorithm to improve and optimize the listwise deletion method. The work is based on identifying what respondents and variables should be deleted to obtain a fully complete dataset without missing data. The optimization technique is semi-analytical and detects the minimum number of deleted respondents and variables. The algorithm has been implemented on the popular computational platform Matlab/Octave.
2) It is important to consider the relative importance of different variables in the analysis before applying complete case analysis. We generalized the algorithm above to include weight factors that quantify what variables cannot be absolutely deleted. The result is a second algorithm that is based on stochastic Monte Carlo optimization. It has been developed in R language.

Academic Significance and Societal Importance of the Research Achievements

近年の調査データの統計解析技法の顕著な発展に比して、欠損・欠測を含む社会調査データへの対処手法はあまり注意が払われてこなかったが、その点を考慮しないままだと分析結果は誤ったものになる可能性がある。本研究の成果はそうした起こりうる推定バイアスを回避するための技法上の洗練という点で重要な学術的意義を持つ。また、学際的・国際的な共同研究を進め議論を深めることを通じて、日本のジェンダー不平等や家族にかんするインプリケーションを再考しながら世帯状況を明らかにしたことは社会的意義である。

Report

(4 results)
  • 2019 Annual Research Report   Final Research Report ( PDF )
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (16 results)

All 2019 2018 2017 Other

All Int'l Joint Research (6 results) Journal Article (5 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 5 results,  Open Access: 1 results,  Acknowledgement Compliant: 1 results) Presentation (5 results) (of which Int'l Joint Research: 5 results)

  • [Int'l Joint Research] Siena College(米国)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Milano Bicocca University(イタリア)

    • Related Report
      2019 Annual Research Report
  • [Int'l Joint Research] Siena College(米国)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] Milano Bicocca University(イタリア)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] Siena College(米国)

    • Related Report
      2017 Research-status Report
  • [Int'l Joint Research] Milano Bicocca Univerisity(Italy)

    • Related Report
      2017 Research-status Report
  • [Journal Article] A latent class analysis towards stability and changes in breadwinning patterns among coupled households2019

    • Author(s)
      Pennoni, Fulvia and Nakai, Miki
    • Journal Title

      Dependence Modeling

      Volume: 7 Issue: 1 Pages: 234-246

    • DOI

      10.1515/demo-2019-0012

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Changes in couples' bread-winning patterns and wife's economic role in Japan from 1985 to 20152019

    • Author(s)
      Miki Nakai
    • Journal Title

      Statistical Learning of Complex Data

      Volume: なし

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Weighted optimization with thresholding for complete-case analysis2019

    • Author(s)
      Graziano Vernizzi and Miki Nakai
    • Journal Title

      Statistical Learning of Complex Data

      Volume: なし

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A latent variable model for a derived ordinal response accounting for sampling weights, missing values and covariates2018

    • Author(s)
      Fulvia Pennoni and Miki Nakai
    • Journal Title

      Proceedings of the International Conference on Advances in Statistical Modelling of Ordinal Data

      Volume: なし Pages: 155-162

    • DOI

      10.6093/978-88-6887-042-3

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Social Differentiation of Cultural Taste and Practice in Contemporary Japan: Nonhierarchical Asymmetric Cluster Analysis2017

    • Author(s)
      Nakai, Miki
    • Journal Title

      Data Science, Studies in Classification, Data Analysis, and Knowledge Organization

      Volume: - Pages: 139-149

    • DOI

      10.1007/978-3-319-55723-6_12

    • ISBN
      9783319557229, 9783319557236
    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Presentation] Assessment of recent social attitudes in Japan: a latent class item response theory model for web survey data2019

    • Author(s)
      Pennoni, Fulvia and Nakai, Miki
    • Organizer
      16th Conference of the International Federation of Classification Societies (IFCS2019)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] A latent variable model for a derived ordinal response accounting for sampling weights, missing values and covariates2018

    • Author(s)
      Fulvia Pennoni and Miki Nakai
    • Organizer
      International Conference on Advances in Statistical Modelling of Ordinal Data (ASMOD2018)
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research
  • [Presentation] Optimization of the Listwise Deletion Method.2017

    • Author(s)
      Vernizzi Graziano, Nakai Miki
    • Organizer
      CLADAG 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Changes in couples' breadwinning patterns and wife’s economic role in Japan.2017

    • Author(s)
      Nakai Miki
    • Organizer
      CLADAG 2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research
  • [Presentation] Changes in the Gendered Division of Labor and Women's Economic Contributions within Japanese Couples.2017

    • Author(s)
      Nakai Miki
    • Organizer
      IFCS2017
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research

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Published: 2017-04-28   Modified: 2023-03-16  

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