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Modeling and orthogonal decompositions of symmetry for contingency tables

Research Project

Project/Area Number 21740084
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeSingle-year Grants
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionTokyo University of Science

Principal Investigator

TAHATA Kouji  Tokyo University of Science, 理工学部・情報科学科, 助教 (30453814)

Project Period (FY) 2009 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Keywords統計数学 / 分割表解析
Research Abstract

In this research, for the analysis of square contingency tables, we proposed some symmetry models. Also, we gave the orthogonal decompositions of model into some models that have weaker restrictions than the model. These results will work well for the analysis of square contingency tables.

Report

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

    (32 results)

All 2011 2010 2009 Other

All Journal Article (16 results) (of which Peer Reviewed: 16 results) Presentation (13 results) Remarks (3 results)

  • [Journal Article] Risk of estimators for point symmetry and double symmetry models for square contingency tables.2011

    • Author(s)
      Kouji Tahata, Takahiro Inoue, Sadao Tomizawa.
    • Journal Title

      nternational Journal of Pure and Applied Mathematics. Vol.66

      Pages: 25-32

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Risk of estimators for point symmetry and double symmetry models for square contingency tables2011

    • Author(s)
      Kouji Tahata, Takahiro Inoue, Sadao Tomizawa
    • Journal Title

      International Journal of Pure and Applied Mathematics

      Volume: 66 Pages: 25-32

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Double linear diagonals-parameter symmetry and decomposition of double symmetry for square tables.2010

    • Author(s)
      Kouji Tahata, Sadao Tomizawa.
    • Journal Title

      Statistical Methods and Applications. Vol.19

      Pages: 307-318

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] On test of marginalpoint-symmetry in multi-way tables.2010

    • Author(s)
      Kouji Tahata, Hiroki Tokuno, Sadao Tomizawa.
    • Journal Title

      Advances and Applications in Statistical Sciences Vol.3

      Pages: 1-12

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Measures of departurefrom Bradley-Terry model for squaretables : application to baseball.2010

    • Author(s)
      Kouji Tahata, Akihito Tomita, Sadao Tomizawa.
    • Journal Title

      International Journal of Sports Science and Engineering. Vol.4

      Pages: 195-208

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Double linear diagonals-parameter symmetry and decomposition of double symmetry for square tables2010

    • Author(s)
      Kouji Tahata, Sadao Tomizawa
    • Journal Title

      Statistical Methods and Applications

      Volume: 19 Pages: 307-318

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On test of marginal point-symmetry in multi-way tables2010

    • Author(s)
      Kouji Tahata, Hiroki Tokuno, Sadao Tomizawa
    • Journal Title

      Advances and Applications in Statistical Sciences

      Volume: 3 Pages: 1-12

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Measures of departure from Bradley-Terry model for square tables : application to baseball2010

    • Author(s)
      Kouji Tahata, Akihito Tomita, Sadao Tomizawa
    • Journal Title

      International Journal of Sports Science and Engineering

      Volume: 4 Pages: 195-208

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Decomposition of diagonals-parameter symmetry modeland orthogonality of its test statisticfor square contingency tables with ordered categories.2009

    • Author(s)
      Kouji Tahata, Sadao Tomizawa.
    • Journal Title

      Journal of Statistical Theory and Applications. Vol.8

      Pages: 406-415

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] A measure of departure from average symmetry for square contingency tables with ordered categories.2009

    • Author(s)
      Kouji Tahata, Kouji Yamamoto, Noriyuki Nagatani, Sadao Tomizawa.
    • Journal Title

      Austrian Journal of Statistics. Vol.38

      Pages: 101-108

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Decomposition of symmetry using tworatios-parameter symmetry model and orthogonality for square contingency tables.2009

    • Author(s)
      Kouji Tahata, Sadao Tomizawa.
    • Journal Title

      Journal of Statistics: Advances in Theory and Applications. Vol.1

      Pages: 19-33

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Normal distribution type symmetry model for square contingency tables with ordered categories.2009

    • Author(s)
      Kouji Tahata, Kouji Yamamoto, Sadao Tomizawa.
    • Journal Title

      Open Statistics and Probability Journal. Vol.1

      Pages: 32-37

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Decomposition of diagonals-parameter symmetry model and orthogonality of its test statistic for aquare contingency tables with ordered categories2009

    • Author(s)
      Kouji Tahata, Sadao Tomizawa
    • Journal Title

      Joumal of Statistical Theory and Applications 8

      Pages: 406-415

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A measure of departure from average symmetry for square contingency tables with ordered categories2009

    • Author(s)
      Kouji Tahata, Kouji Yamamoto, Noriyuki Nagatani, Sadao Tomizawa
    • Journal Title

      Austrian Journal of Statistics 38

      Pages: 101-108

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Decompoaition of symmetry using two ratios-parameter symmetry model and orthogonality for square contingency tables2009

    • Author(s)
      Kouji Tahata, Sadao Tomizawa
    • Journal Title

      Journal of Statistics : Advances in Theory and Applications 1

      Pages: 19-33

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Normal distribution type symmetry model for square contingency tables with ordered categories2009

    • Author(s)
      Kouji Tahata, Kouji Yamamoto, Sadao Tomizawa
    • Journal Title

      Open Statistics and Probability Journal 1

      Pages: 32-37

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Presentation] 正方分割表における二重対称性の分解について2011

    • Author(s)
      田畑耕治、富澤貞男
    • Organizer
      日本数学会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2011-03-21
    • Related Report
      2010 Final Research Report
  • [Presentation] 正方分割表における二重対称性の分解について2011

    • Author(s)
      田畑耕治, 富澤貞男
    • Organizer
      日本数学会2011年度年会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2011-03-21
    • Related Report
      2010 Annual Research Report
  • [Presentation] 順序カテゴリをもつ正方分割表における対称性の分解について2010

    • Author(s)
      田畑耕治、富澤貞男
    • Organizer
      日本数学会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-24
    • Related Report
      2010 Final Research Report
  • [Presentation] 順序カテゴリをもつ正方分割表における対称性の分解について2010

    • Author(s)
      田畑耕治, 富澤貞男
    • Organizer
      日本数学会2010年度秋季総合分科会
    • Place of Presentation
      名古屋大学
    • Year and Date
      2010-09-24
    • Related Report
      2010 Annual Research Report
  • [Presentation] 分割表における準対称性からの隔たりを測る距離尺度2010

    • Author(s)
      田畑耕治、冨田聡人、富澤貞男
    • Organizer
      統計関連学会連合
    • Place of Presentation
      早稲田大学
    • Year and Date
      2010-09-08
    • Related Report
      2010 Final Research Report
  • [Presentation] 分割表における準対称性からの隔たりを測る距離尺度2010

    • Author(s)
      田畑耕治, 冨田聡人, 富澤貞男
    • Organizer
      2010年度統計関連学会連合大会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2010-09-08
    • Related Report
      2010 Annual Research Report
  • [Presentation] Bradley-Terry モデルからの隔たりを測る距離尺度2010

    • Author(s)
      田畑耕治、冨田聡人、富澤貞男
    • Organizer
      応用統計学会
    • Place of Presentation
      統計数理研究所
    • Year and Date
      2010-05-20
    • Related Report
      2010 Final Research Report
  • [Presentation] Bradley-Terryモデルからの隔たりを測る距離尺度2010

    • Author(s)
      田畑耕治, 冨田聡人, 富澤貞男
    • Organizer
      応用統計学会2010年度年会
    • Place of Presentation
      統計数理研究所
    • Year and Date
      2010-05-20
    • Related Report
      2010 Annual Research Report
  • [Presentation] 対称性と非対称性のモデルに基づく分割表解析2009

    • Author(s)
      田畑耕治
    • Organizer
      日本数学会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-26
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] 多元分割表における点対称モデルの分解2009

    • Author(s)
      田畑耕治、富澤貞男
    • Organizer
      統計関連学会連合
    • Place of Presentation
      同志社大学
    • Year and Date
      2009-09-07
    • Related Report
      2010 Final Research Report
  • [Presentation] 多元分割表における点対称モデルの分解2009

    • Author(s)
      田畑耕治, 富澤貞男
    • Organizer
      統計関連学会
    • Place of Presentation
      同志社大学
    • Year and Date
      2009-09-07
    • Related Report
      2009 Annual Research Report
  • [Presentation] 正方分割表における非対称性を測る尺度とその応用2009

    • Author(s)
      田畑耕治、山田章史、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
      2009-08-01
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Presentation] 分割表における点対称性からの隔たりを測る尺度2009

    • Author(s)
      田畑耕治、山本紘司、富澤貞男
    • Organizer
      日本計算機統計学会
    • Place of Presentation
      福岡女子大学
    • Year and Date
      2009-05-17
    • Related Report
      2010 Final Research Report 2009 Annual Research Report
  • [Remarks] ホームページ等

    • URL

      http://www.sut.ac.jp/fac_grad/p/index.php?A15578

    • Related Report
      2010 Final Research Report
  • [Remarks]

    • URL

      http://www.sut.ac.jp/fac_grad/p/index.php?A15578

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www.tus.ac.jp/fac/teacher/A15578.html

    • Related Report
      2009 Annual Research Report

URL: 

Published: 2009-04-01   Modified: 2016-04-21  

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