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Optimality, constructions and application of diallel and triallel cross designs

Research Project

Project/Area Number 25730020
Research Category

Grant-in-Aid for Young Scientists (B)

Allocation TypeMulti-year Fund
Research Field Statistical science
Research InstitutionGifu College of Nursing

Principal Investigator

OZAWA Kazuhiro  岐阜県立看護大学, 看護学部, 准教授 (20336639)

Project Period (FY) 2013-04-01 – 2016-03-31
Project Status Completed (Fiscal Year 2015)
Budget Amount *help
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords実験計画法 / ダイアレル交配実験計画 / トリアレル交配実験計画 / 最適性 / 構成法 / ダイアレル交配実験 / トリアレル交配実験 / 最適計画
Outline of Final Research Achievements

We considered the optimality of triallel cross experiments and diallel cross experiments with control and test treatments for estimating main effects and interaction effects. We gave the constructions of optimal triallel and diallel cross experiments. Moreover, we characterized split-plot designs and split-block designs with respect to the general balance property, and we gave the stratum efficiency factors for such designs.

Report

(4 results)
  • 2015 Annual Research Report   Final Research Report ( PDF )
  • 2014 Research-status Report
  • 2013 Research-status Report
  • Research Products

    (6 results)

All 2016 2015 2014

All Journal Article (1 results) (of which Peer Reviewed: 1 results) Presentation (5 results) (of which Int'l Joint Research: 3 results)

  • [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 Research-status Report
    • Peer Reviewed
  • [Presentation] Optimality and construction of triallel cross experiments2016

    • Author(s)
      Kazuhiro Ozawa
    • Organizer
      Deutsche Arbeitsgemeinschaft Statistik 2016
    • Place of Presentation
      Gottingen, Germany
    • Year and Date
      2016-03-14
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Incomplete split-block designs constructed by affine alpha-resolvable designs2015

    • Author(s)
      Kazuhiro Ozawa, Shinji Kuriki
    • Organizer
      Designed Experiments: Recent Advances in Methods and Applications 2015
    • Place of Presentation
      Sydney, Australia
    • Year and Date
      2015-12-14
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Incomplete split-plot designs constructed by alpha-resolvable designs2015

    • Author(s)
      Kazuhiro Ozawa, Shinji Kuriki
    • Organizer
      The IMT-GT International Conference on Mathematics, Statistics and Its Applications 2015
    • Place of Presentation
      Pattaya, Thailand
    • Year and Date
      2015-11-23
    • Related Report
      2015 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Two-factor experiment with split units constructed by cyclic designs and square lattice designs2015

    • Author(s)
      Kazuhiro Ozawa, Shinji Kuriki
    • Organizer
      61. Biometrisches Kolloquium
    • Place of Presentation
      Dortmund, Germany
    • Year and Date
      2015-03-16
    • Related Report
      2014 Research-status Report
  • [Presentation] Repeated Latin and Youden squares with whole plot and subplot control treatments2014

    • Author(s)
      Kazuhiro Ozawa, Iwona Mejza, Stanislaw Mejza, Shinji Kuriki
    • Organizer
      The International Conference on Trends and Perspectives in Linear Statistical Inference
    • Place of Presentation
      Linkoping, Sweden
    • Year and Date
      2014-08-24
    • Related Report
      2014 Research-status Report

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Published: 2014-07-25   Modified: 2019-07-29  

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