Optimality, constructions and application of diallel and triallel cross designs

• Project/Area Number: 25730020
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Multi-year Fund
• Research Field: Statistical science
• Research Institution: Gifu 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: ¥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.

Research Products

• [Journal Article] Control treatments in designs with split units generated by Latin squares (2014)
  • 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
  • Peer Reviewed
• [Presentation] Optimality and construction of triallel cross experiments (2016)
  • Author(s): Kazuhiro Ozawa
  • Organizer: Deutsche Arbeitsgemeinschaft Statistik 2016
  • Place of Presentation: Gottingen, Germany
  • Year and Date: 2016-03-14
  • Int'l Joint Research
• [Presentation] Incomplete split-block designs constructed by affine alpha-resolvable designs (2015)
  • 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
  • Int'l Joint Research
• [Presentation] Incomplete split-plot designs constructed by alpha-resolvable designs (2015)
  • 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
  • Int'l Joint Research
• [Presentation] Two-factor experiment with split units constructed by cyclic designs and square lattice designs (2015)
  • Author(s): Kazuhiro Ozawa, Shinji Kuriki
  • Organizer: 61. Biometrisches Kolloquium
  • Place of Presentation: Dortmund, Germany
  • Year and Date: 2015-03-16
• [Presentation] Repeated Latin and Youden squares with whole plot and subplot control treatments (2014)
  • 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