Statistical inference in the mixed effects model
| Project/Area Number |
25400206
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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 |
Foundations of mathematics/Applied mathematics
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| Research Institution | 防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工学群) (2014-2016)
Kyushu University (2013) |
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Principal Investigator |
Hyakutake Hiroto 防衛大学校(総合教育学群、人文社会科学群、応用科学群、電気情報学群及びシステム工, 総合教育学群, 教授 (70181120)
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2014: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | 数理統計学 / 線形モデル / ランダム効果 / 信頼区間 / 矯正歯科学 / プロフィール分析 / 欠測データ / 繰り返し測定値 / 測定誤差 / 信頼領域 / 繰り返し測定データ |
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| Outline of Final Research Achievements |
There are individual difference in clinical data, hence we consider statistical inference for the random effects model. In two sample problem, we give approximated confidence intervals, when the error variances are different. We also give the exact test for parallelism with missing data and an approximated confidence interval of the level difference under parallel profile model. Applications to clinical data analysis of dental measuremets are given.
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Report
(5 results)
Research Products
(7 results)
