2012 Fiscal Year Final Research Report
Simultaneous inferences for repeated measurement data
| Project/Area Number |
22540142
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kyushu University |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2012
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| Keywords | 統計数学 / 多変量統計解析 / 繰返し測定値 |
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| Research Abstract |
Parameter estimation of nonlinear repeated measurement models with random effects is considered. In two sample problem, we give the approximation to the confidence intervals of the difference of the functions of the nonlinear random effect models. Under parallel profile models with mixed effects, simultaneousconfidence intervals for the level differences are approximated and accuracy of approximation is examined by simulation. Simultaneous confidence intervals of univariate normal mean and elements of multivariate normal mean are given. A test for equality of each element of multinormal mean and univariate normal mean also discussed. Profile analysis with missing data is considered for random effect models.
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