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Research on the construction methods for two-factor experiments of nested split types with controls

Research Project

Project/Area Number 24540139
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionOsaka Prefecture University

Principal Investigator

KURIKI SHINJI  大阪府立大学, 工学(系)研究科(研究院), 教授 (00167389)

Co-Investigator(Kenkyū-buntansha) FUJI-HARA Ryosyuku  筑波大学, システム情報工学研究科, 教授 (30165443)
JIMBO Masakazu  名古屋大学, 情報科学研究科, 教授 (50103049)
Project Period (FY) 2012-04-01 – 2015-03-31
Project Status Completed (Fiscal Year 2014)
Budget Amount *help
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2013: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Keywords統計数学 / 実験計画法 / 構成法 / ネステッド構造 / コントロール / 分割型実験 / 2因子実験 / テスト処理
Outline of Final Research Achievements

In order to perform a two-factor experiment with controls, there are some fields (called blocks), each block is divided into p rows and q columns (the small fields are called whole-plots), and the treatments of a factor are arranged on the whole-plots. Furthermore, each whole-plot is divided into some subplots, and the treatments of another factor are arranged on the subplots. In this research, the construction methods for such two-factor experiments of nested split types with controls were given.

Report

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

    (24 results)

All 2015 2014 2013 2012 Other

All Journal Article (7 results) (of which Peer Reviewed: 7 results,  Acknowledgement Compliant: 2 results,  Open Access: 1 results) Presentation (16 results) (of which Invited: 1 results) Book (1 results)

  • [Journal Article] Constructions of Φp-optimal rotational designs on the ball2015

    • Author(s)
      M. Hirao, M. Sawa and M. Jimbo
    • Journal Title

      Sankhya -- The Indian Journal of Statistics

      Volume: 77 Issue: 1 Pages: 211-236

    • DOI

      10.1007/s13171-014-0053-4

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Control treatments in designs with split units generated by Latin squares2014

    • Author(s)
      S. Kuriki, I. Mejza, K. Ozawa, and S. Mejza
    • Journal Title

      Biometrical Letters

      Volume: 51 Issue: 2 Pages: 125-142

    • DOI

      10.2478/bile-2014-0009

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Two-factor experiment with split units constructed by a BIBRC2014

    • Author(s)
      I. Mejza, S. Mejza and S. Kuriki
    • Journal Title

      SUT Journal of Mathematics

      Volume: 50 Pages: 343-352

    • NAID

      120006397895

    • Related Report
      2014 Annual Research Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Optimal equi-difference conflict-avoiding codes of odd length and weight three2014

    • Author(s)
      Yiling Lin, Miwako Mishima, Junya Satoh, Masakazu Jimbo
    • Journal Title

      Finite Fields and Their Applications

      Volume: 26 Pages: 49-68

    • DOI

      10.1016/j.ffa.2013.11.001

    • Related Report
      2014 Annual Research Report 2013 Research-status Report
    • Peer Reviewed / Acknowledgement Compliant
  • [Journal Article] Incomplete split-plot designs supplemented by a single control2012

    • Author(s)
      Kuriki, S., Mejza, I. and Mejza, S.
    • Journal Title

      Communications in Statistics - Theory and Methods

      Volume: 41 Issue: 13-14 Pages: 2490-2502

    • DOI

      10.1080/03610926.2011.647214

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] The existence of doubly disjoint (mt+1,m,m-1) difference families2012

    • Author(s)
      D. Wu
    • Journal Title

      Ars Combinatoria

      Volume: 104 Pages: 197-209

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Journal Article] A decomposition of the 2-design formed by the planes in AG(2n; 3)2012

    • Author(s)
      K. Momihara
    • Journal Title

      Finite Field and Their Applications

      Volume: 18 Pages: 956-970

    • Related Report
      2012 Research-status Report
    • Peer Reviewed
  • [Presentation] Two-factor experiment with split units constructed by cyclic designs and square lattice designs2015

    • Author(s)
      K. Ozawa and S. Kuriki
    • Organizer
      Biometrics and communication: From statistical theory to perception in the public
    • Place of Presentation
      Dortmund (Germany)
    • Year and Date
      2015-03-16
    • Related Report
      2014 Annual Research Report
  • [Presentation] Cyclic codes with large minimum distances and related combinatorial designs2015

    • Author(s)
      M. Jimbo and S. Noguchi
    • Organizer
      ALCOMA15
    • Place of Presentation
      Kloster Banz (Germany)
    • Year and Date
      2015-03-15
    • Related Report
      2014 Annual Research Report
  • [Presentation] 最小距離が大きい線形符号と組合せデザイン2015

    • Author(s)
      野口聡,神保雅一
    • Organizer
      熊本組合せ論研究集会―代数的デザイン理論とその周辺―
    • Place of Presentation
      熊本大学
    • Year and Date
      2015-01-09
    • Related Report
      2014 Annual Research Report
  • [Presentation] Classification of Authentication codes and a new model2014

    • Author(s)
      藤原良叔
    • Organizer
      実験計画法およびその周辺の組合せ構造
    • Place of Presentation
      城崎国際アートセンター(兵庫県豊岡市)
    • Year and Date
      2014-12-13
    • Related Report
      2014 Annual Research Report
  • [Presentation] Repeated Latin and Youden squares with whole plot and subplot control treatments2014

    • Author(s)
      K. Ozawa, I. Mejza, S. Mejza and S. Kuriki
    • Organizer
      The International Conference on Trends and Perspectives in Linear Statistical Inference (LinStat2014)
    • Place of Presentation
      Linkoping (Sweden)
    • Year and Date
      2014-08-24
    • Related Report
      2014 Annual Research Report
  • [Presentation] A nested row-column design with split units constructed by a BIBRC

    • Author(s)
      S. Kuriki
    • Organizer
      7th Workshop on Statistics, Mathematics and Computation
    • Place of Presentation
      Tomar, Portugal
    • Related Report
      2013 Research-status Report
  • [Presentation] A regular Youden design を用いた分割型ユニットをもつ nested row-column design の構成法

    • Author(s)
      鳥居武司,栗木進二
    • Organizer
      日本数学会
    • Place of Presentation
      愛媛大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Repeated generalized Youden designs with split units

    • Author(s)
      S. Kuriki
    • Organizer
      Forum for Interdisciplinary Mathematics 22nd FIM, International Conference on Interdisciplinary Mathematics, Statistics and Computational Techniques
    • Place of Presentation
      Kitakyushu
    • Related Report
      2013 Research-status Report
    • Invited
  • [Presentation] Strongly balanced uniform repeated measurements designs の巡回的構成法

    • Author(s)
      冨田峻也,栗木進二
    • Organizer
      研究集会「組合せ論とその実験計画への応用」
    • Place of Presentation
      熊本県阿蘇郡南小町瀬の本高原 三愛高原ホテル
    • Related Report
      2013 Research-status Report
  • [Presentation] 分割型ユニットをもつ nested row-column design の構成法

    • Author(s)
      鳥居武司,栗木進二
    • Organizer
      研究集会「組合せ論とその実験計画への応用」
    • Place of Presentation
      熊本県阿蘇郡南小町瀬の本高原 三愛高原ホテル
    • Related Report
      2013 Research-status Report
  • [Presentation] 分割型ユニットをもつ nested row-column design の構成法

    • Author(s)
      鳥居武司,栗木進二
    • Organizer
      日本数学会
    • Place of Presentation
      学習院大学
    • Related Report
      2013 Research-status Report
  • [Presentation] Tight equi-difference conflict-avoiding codes with odd length and weight 3

    • Author(s)
      Y. Lin
    • Organizer
      RIMS 共同研究「デザイン、符号、グラフおよびその周辺」
    • Place of Presentation
      京都大学
    • Related Report
      2012 Research-status Report
  • [Presentation] 反応抑制のあるモデルのもとでのグループテストと効率的識別アルゴリズムについて

    • Author(s)
      石井幸太
    • 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] Descendent Sets and Codes

    • Author(s)
      R. Fuji-Hara
    • Organizer
      研究集会「離散数理構造とその応用」
    • Place of Presentation
      名古屋大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Mutually orthogonal partially balanced t-designs over C

    • Author(s)
      神保雅一
    • Organizer
      研究集会「離散数理構造とその応用」
    • Place of Presentation
      名古屋大学
    • Related Report
      2012 Research-status Report
  • [Presentation] Optimal equi-difference conflict-avoiding codes of length n=2^a3^bm and weight four

    • Author(s)
      Y. Lin
    • Organizer
      日本数学会年会
    • Place of Presentation
      京都大学
    • Related Report
      2012 Research-status Report
  • [Book] Advances in Regression, Survival Analysis, Extreme Values, Markov Processes and Other Statistical Applications, Studies in Theoretical and Applied Statistics2013

    • Author(s)
      S. Mejza
    • Total Pages
      8
    • Publisher
      Springer-Verlag Berlin Heidelberg
    • Related Report
      2012 Research-status Report

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

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