| Project/Area Number |
17K00052
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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 | Shiga University (2019-2020)
Hiroshima University (2017-2018) |
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Principal Investigator |
Satoh Kenichi 滋賀大学, データサイエンス教育研究センター, 教授 (30284219)
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| Co-Investigator(Kenkyū-buntansha) |
冨田 哲治 県立広島大学, 地域創生学部, 教授 (60346533)
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| Project Period (FY) |
2017-04-01 – 2021-03-31
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| Project Status |
Completed (Fiscal Year 2020)
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| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2020: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 成長曲線モデル / 時空間データ / 回帰分析 / 変化係数 / 統計数学 |
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| Outline of Final Research Achievements |
In Satoh and Tonda (Applied Statistics, 2013), the proposed method of Brumback et al. (JASA, 1999) was applied to longitudinal measurement data. This research was highly evaluated and received the 2015 Society of Applied Statistics Award (Best Paper Award). Tonda, Satoh et al. (Applied Statistics, 2010) proposed an application to spatial data. And Satoh & Tonda (JJSS, 2014) proposed a semiparametric inference of change coefficient surfaces for spatial data. And the main results of this research were summarized in Satoh (Applied Statistics, 2020), "Application of Balanced Growth Curve Model to Spatio-Temporal Data.
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| Academic Significance and Societal Importance of the Research Achievements |
位置情報を持つ個体において経時測定データが観測されている場合に，時間と空間の交互作用項を持つ成長曲線モデルを適用することを試みる．位置や時間の基底について考え，それぞれを固定した場合の時間軸上の予測曲線あるいは空間上の予測曲面に関する同時信頼区間を与える．また，交互作用項，特に空間に関する基底数を減らすための工夫として局所的な成長曲線モデルの適用も考える．提案するモデルの適合は重相関係数の意味でとても良かった．
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