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Development of new statistical models in categorical data analysis

Research Project

Project/Area Number 26730017
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Statistical science
Research InstitutionOsaka City University (2016)
Osaka University (2014-2015)

Principal Investigator

Yamamoto Kouji  大阪市立大学, 大学院医学研究科, 特命准教授 (10548176)

Co-Investigator(Renkei-kenkyūsha) TOMIZAWA Sadao  東京理科大学, 理工学部, 教授 (50188778)
SHINTANI Ayumi  大阪市立大学, 大学院・医学研究科, 教授 (00724395)
Project Period (FY) 2014-04-01 – 2017-03-31
Project Status Completed (Fiscal Year 2016)
Budget Amount *help
¥2,210,000 (Direct Cost: ¥1,700,000、Indirect Cost: ¥510,000)
Fiscal Year 2016: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2015: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Keywords分割表解析 / 診断研究 / 正確検定 / 順序カテゴリ / 経時データ / 統計モデル / モデルの分解 / 累積確率モデル / 直交分解 / カテゴリ併合
Outline of Final Research Achievements

Categorical data, which have some categories like "Response", "Stable" and "Progression" in evaluating a treatment, have been analyzed by using statistical models. Such data are summarized into "contingency tables".
In this research, I have proposed some new statistical models so that we can analyze such contingency table data in more detail.
These development is meaningful in not only mathematical aspect but application one.

Report

(4 results)
  • 2016 Annual Research Report   Final Research Report ( PDF )
  • 2015 Research-status Report
  • 2014 Research-status Report
  • Research Products

    (14 results)

All 2016 2015 2014

All Journal Article (6 results) (of which Int'l Joint Research: 3 results,  Peer Reviewed: 6 results,  Open Access: 3 results,  Acknowledgement Compliant: 2 results) Presentation (8 results) (of which Int'l Joint Research: 1 results)

  • [Journal Article] Symmetry model based on bivariate normal distribution for square contingency tables with ordered categories2016

    • Author(s)
      Yamamoto, K., Nakane, H. and Tomizawa, S.
    • Journal Title

      Journal of Statistics: Advances in Theory and Applications

      Volume: 15 Issue: 2 Pages: 71-84

    • DOI

      10.18642/jsata_7100121663

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Collapsed double symmetry model and its decomposition for square contingency tables2016

    • Author(s)
      Yamamoto, K., Matsuda, Y. and Tomizawa, S.
    • Journal Title

      International Journal of Statistics and Probability

      Volume: 5 Pages: 31-37

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Measure of departure from sum-symmetry model for square contingency tables with ordered categories2016

    • Author(s)
      Yamamoto, K., Aizawa, M. and Tomizawa, S.
    • Journal Title

      Journal of Statistics: Advances in Theory and Applications

      Volume: 16 Issue: 1 Pages: 17-43

    • DOI

      10.18642/jsata_7100121694

    • Related Report
      2016 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Decompositions of sum-symmetry model for ordinal square contingency tables2016

    • Author(s)
      Yamamoto, K., Aizawa, M. and Tomizawa, S.
    • Journal Title

      European Journal of Statistics and Probability

      Volume: ---

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Vision data analysis based on new statistical models and decompositions2015

    • Author(s)
      Yamamoto, K., Ohama, M. and Tomizawa, S.
    • Journal Title

      Annals of Biometrics and Biostatistics

      Volume: 2 Pages: 1019-1025

    • Related Report
      2015 Research-status Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Measure of departure from symmetry for the analysis of collapsed square contingency tables with ordered categories2015

    • Author(s)
      Yamamoto, K., Shimada, F. and Tomizawa, S.
    • Journal Title

      Journal of Applied Statistics

      Volume: 42 Issue: 4 Pages: 866-875

    • DOI

      10.1080/02664763.2014.993362

    • Related Report
      2014 Research-status Report
    • Peer Reviewed
  • [Presentation] Measure of departure from sum-symmetry model for square contingency tables having ordered categories2016

    • Author(s)
      相澤愛奈,山本紘司,富澤貞男
    • Organizer
      日本数学会
    • Place of Presentation
      筑波大学
    • Year and Date
      2016-03-19
    • Related Report
      2015 Research-status Report
  • [Presentation] カテゴリを併合した正方分割表における二重対称モデルと分解2016

    • Author(s)
      松田裕也,山本紘司,富澤貞男
    • Organizer
      日本統計学会
    • Place of Presentation
      東北大学
    • Year and Date
      2016-03-05
    • Related Report
      2015 Research-status Report
  • [Presentation] 順序カテゴリ正方分割表における非対称モデルの提案2016

    • Author(s)
      掛札純平,田畑耕治,山本紘司
    • Organizer
      日本統計学会
    • Place of Presentation
      東北大学
    • Year and Date
      2016-03-05
    • Related Report
      2015 Research-status Report
  • [Presentation] 分割表における連関尺度に基づく周辺非同等性の指標2016

    • Author(s)
      茂木嶺志,田畑耕治,山本紘司
    • Organizer
      日本統計学会
    • Place of Presentation
      東北大学
    • Year and Date
      2016-03-05
    • Related Report
      2015 Research-status Report
  • [Presentation] 正方分割表における併合した表を用いた二重対称モデルと分解2015

    • Author(s)
      松田裕也,山本紘司,富澤貞男
    • Organizer
      日本計算機統計学会
    • Place of Presentation
      まなぼっと幣舞(北海道)
    • Year and Date
      2015-11-27
    • Related Report
      2015 Research-status Report
  • [Presentation] Symmetry models based on bivariate normal distribution for square ordinal tables and the performance2015

    • Author(s)
      Yamamoto, K. and Tomizawa, S.
    • Organizer
      Eighth International Workshop on Simulation
    • Place of Presentation
      University of Natural Resources and Life Sciences (Austria)
    • Year and Date
      2015-09-24
    • Related Report
      2015 Research-status Report
    • Int'l Joint Research
  • [Presentation] 順序カテゴリ正方分割表における累積確率に基づくモデルの分解2014

    • Author(s)
      安藤宗司,山本紘司,富澤貞男
    • Organizer
      応用統計学会
    • Place of Presentation
      統計数理研究所
    • Year and Date
      2014-05-22
    • Related Report
      2014 Research-status Report
  • [Presentation] 正方分割表における累積確率を用いた周辺非同等性に関する尺度2014

    • Author(s)
      安藤宗司,山本紘司,富澤貞男
    • Organizer
      日本計算機統計学会
    • Place of Presentation
      中央大学後楽園キャンパス
    • Year and Date
      2014-05-18
    • Related Report
      2014 Research-status Report

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Published: 2014-04-04   Modified: 2018-03-22  

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