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Asymmetry models and decomposition of symmetry for multi-way contingency tables

Research Project

Project/Area Number 24700282
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Statistical science
Research InstitutionTokyo University of Science

Principal Investigator

TAHATA Kouji  東京理科大学, 理工学部, 講師 (30453814)

Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords統計的推測 / 分割表解析 / カテゴリカルデータ解析 / 分割表統計解析
Outline of Final Research Achievements

For the analysis of multi-way contingency tables with same classifications, we proposed various types of symmetry. Also, when the model of some symmetry fits the data poorly, we gave (1) the measure which represents the degree of departure from symmetry, and (2) the decompositions of symmetry into some models which have weaker restrictions. Using these results, it is possible to analyse the data more details.

Report

(4 results)
  • 2014 Annual Research Report   Final Research Report ( PDF )
  • 2013 Research-status Report
  • 2012 Research-status Report
  • Research Products

    (20 results)

All 2015 2014 2013 2012

All Journal Article (9 results) (of which Peer Reviewed: 9 results,  Open Access: 2 results,  Acknowledgement Compliant: 3 results) Presentation (11 results)

  • [Journal Article] REFINED ESTIMATORS OF MEASURES FOR MARGINAL HOMOGENEITY IN SQUARE CONTINGENCY TABLES2014

    • Author(s)
      K. Tahata, H. Tanaka and S. Tomizawa
    • Journal Title

      International Journal of Pure and Applied Mathematics

      Volume: 90 Issue: 4 Pages: 501-513

    • DOI

      10.12732/ijpam.v90i4.11

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Partitioning measure of quasi-symmetry for square contingency tables2014

    • Author(s)
      K. Tahata, K. Kozai and S. Tomizawa
    • Journal Title

      Brazilian Journal of Probability and Statistics

      Volume: 28 Issue: 3 Pages: 353-366

    • DOI

      10.1214/12-bjps211

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Wald-type measure of departure from symmetry for square contingency tables with nominal categories2014

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

      SUT Journal of Mathematics

      Volume: 50 Pages: 297-309

    • NAID

      120006397892

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access / Acknowledgement Compliant
  • [Journal Article] Marginal asymmetry measure based on entropy for square contingency tables with ordered categories2013

    • Author(s)
      Tahata, K., Yoshimoto, T. and Tomizawa, S.
    • Journal Title

      American Journal of Mathematics and Statistics

      Volume: 3 Pages: 95-98

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Measure of departure from symmetry based on entropy for square contingency tables with nominal categories2013

    • Author(s)
      Tahata, K., Akinaga, S. and Tomizawa, S.
    • Journal Title

      International Journal of Applied Mathematics and Statistics

      Volume: 42 Pages: 1-9

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Decomposition of symmetry model into three models for cumulative probabilities in square contingency tables2013

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

      European Journal of pure and applied mathematics

      Volume: 6 Pages: 299-306

    • Related Report
      2013 Research-status Report
    • Peer Reviewed
  • [Journal Article] Quasi-asymmetry model for square tables with nominal categories2012

    • Author(s)
      Tahata, K.
    • Journal Title

      Journal of Applied Statistics

      Volume: 39 Issue: 4 Pages: 723-729

    • DOI

      10.1080/02664763.2011.610447

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Measuring degree of departure from extended quasi-symmetry for square contingency tables2012

    • Author(s)
      Tahata, K. and Kozai, K.
    • Journal Title

      Colombian Journal of Statistics

      Volume: 35 Pages: 55-65

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] Decomposition of symmetry using palindromic symmetry model in a two-way classification2012

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

      Journal of Statistics Applications and Probability

      Volume: 1 Issue: 3 Pages: 175-178

    • DOI

      10.12785/jsap/010306

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] On measure of asymmetry in square contingency tables2015

    • Author(s)
      K. Tahata
    • Organizer
      Workshop on Distribution Theory and Applications
    • Place of Presentation
      The Institute of Statistical Mathematics (Japan)
    • Year and Date
      2015-01-28 – 2015-01-29
    • Related Report
      2014 Annual Research Report
  • [Presentation] 順序カテゴリ正方分割表における周辺非同等性のモデル2014

    • Author(s)
      田畑耕治
    • Organizer
      2014年度統計関連学会連合大会
    • Place of Presentation
      東京大学(本郷キャンパス)
    • Year and Date
      2014-09-13 – 2014-09-16
    • Related Report
      2014 Annual Research Report
  • [Presentation] On decomposition of refined estimator of measure for symmetry in square contingency tables2014

    • Author(s)
      K. Tahata, R. Auchi and S. Tomizawa
    • Organizer
      COMPSTAT 2014
    • Place of Presentation
      International Conference Centre Geneva (Switzerland)
    • Year and Date
      2014-08-19 – 2014-08-22
    • Related Report
      2014 Annual Research Report
  • [Presentation] On decompositions of symmetry for the analysis of square contingency tables2014

    • Author(s)
      Tahata, K.
    • Organizer
      Advances and Applications in Distribution Theory
    • Place of Presentation
      The Institute of Statistical Mathematics
    • Related Report
      2013 Research-status Report
  • [Presentation] Measure of symmetry with minimum variance for square contingency tables2013

    • Author(s)
      Yamamoto, K., Tahata, K. and Tomizawa, S.
    • Organizer
      59th ISI World Statistics Congress
    • Place of Presentation
      Hong Kong Convention and Exhibition Centre
    • Related Report
      2013 Research-status Report
  • [Presentation] On decomposition of point-symmetry in square contingency tables2013

    • Author(s)
      Tahata, K.
    • Organizer
      59th ISI World Statistics Congress
    • Place of Presentation
      Hong Kong Convention and Exhibition Centre
    • Related Report
      2013 Research-status Report
  • [Presentation] 正方分割表における拡張された周辺同等モデル2013

    • Author(s)
      天野寛之,田畑耕治,富澤貞男
    • Organizer
      日本計算機統計学会第27回シンポジウム
    • Place of Presentation
      市民会館崇城大学ホール
    • Related Report
      2013 Research-status Report
  • [Presentation] 名義カテゴリ分割表における準非対称モデル2012

    • Author(s)
      田畑耕治
    • Organizer
      統計関連学会連合大会
    • Place of Presentation
      北海道大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Decomposition of symmetry using palindromic symmetry model for square contingency tables2012

    • Author(s)
      田畑耕治,山本紘司,富澤貞男
    • Organizer
      日本数学会
    • Place of Presentation
      九州大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Generalized asymmetry model for cumulative probabilities and its decomposition for square tables2012

    • Author(s)
      山本紘司,田畑耕治,富澤貞男
    • Organizer
      日本数学会
    • Place of Presentation
      東京理科大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 順序カテゴリ正方分割表における周辺分布の非同等性について2012

    • Author(s)
      田畑耕治,川崎協,富澤貞男
    • Organizer
      科研費シンポジウム「統計的推測とその応用:正則と非正則」
    • Place of Presentation
      東京理科大学
    • Related Report
      2012 Research-status Report

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Published: 2013-05-31   Modified: 2019-07-29  

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