Optimality and constructions of genetic cross experiments
| Project/Area Number |
16K00053
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Statistical science
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| Research Institution | Gifu College of Nursing |
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Principal Investigator |
Ozawa Kazuhiro 岐阜県立看護大学, 看護学部, 准教授 (20336639)
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| Co-Investigator(Kenkyū-buntansha) |
三嶋 美和子 岐阜大学, 工学部, 教授 (00283284)
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| Project Period (FY) |
2016-10-21 – 2020-03-31
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| Project Status |
Completed (Fiscal Year 2019)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| 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 / 最適計画 / 分割型実験計画 / ダイアレル交配実験 / トリアレル交配実験 / 分割型計画 / ダイアレル交配計画 / トリアレル交配計画 |
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| Outline of Final Research Achievements |
In a genetic cross experiment, we gave the conditions of optimality for estimating main effects and interaction effects, and we obtained the constructions of their optimal designs. We applied the constructions of treatment-control designs using cyclic and generalized cyclic designs, and we gave a list of A-efficient treatment-control designs obtained by using a computer programming in the practically useful ranges of the parameters. We gave a construction of incomplete split-plot designs generated by the semi-Kronecker product of two alpha-resolvable designs. Moreover, we characterized their designs with respect to the general balance property, and we gave the stratum efficiency factors for their designs.
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| Academic Significance and Societal Importance of the Research Achievements |
最適基準を満たす必要条件およびその構成法を示すことは、実験計画を利用する上での統計的な裏付けとなり、各分野で実施される実験・試験精度の向上、効率的な実験の実現、および実用範囲の拡大に繋がる。遺伝的交配実験計画は、2要因または3要因を持つ実験計画とみなすこともできるため、本研究の成果は、化学実験や農事試験などで実際に活用されている分割型実験計画など他の実験計画の研究へ活用することが見込める。
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Report
(5 results)
Research Products
(11 results)
