2011 Fiscal Year Final Research Report
Multiple comparison procedures based on robust statistics
| Project/Area Number |
20540126
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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 | Nanzan University (2010-2011)
Yokohama City University (2008-2009) |
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Principal Investigator |
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| Project Period (FY) |
2008 – 2011
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| Keywords | 統計数学 / 計算機統計 / 生物統計 |
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| Research Abstract |
We considered multiple comparisons for location parameters in multi-sample models. The single-step multiple comparison procedures based on the maximum values of statistics are proposed and the theory of the proposed procedures constructed. Next closed testing procedures are derived based on the proposed single-step multiple comparison tests. These proposed procedures are exactly conservative. Furthermore the asymptotic theory for the multiple comparisons is discussed. Especially sequentially rejective procedures can be constructed under unequal sample sizes in the asymptotic theory. The proposed procedures are superior to the other multiple comparison procedures.
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