Multiple comparison procedures based on robust statistics
Project/Area Number |
20540126
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Single-year Grants |
Section | 一般 |
Research Field |
General mathematics (including Probability theory/Statistical mathematics)
|
Research Institution | Nanzan University (2010-2011) Yokohama City University (2008-2009) |
Principal Investigator |
SHIRAISHI Takaaki (TAKAAKI Shiraishi) 南山大学, 情報理工学部, 教授 (50143160)
|
Project Period (FY) |
2008 – 2011
|
Project Status |
Completed (Fiscal Year 2011)
|
Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2008: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
|
Keywords | 統計数学 / 計算機統計 / 生物統計 / 数理統計 / 計算機科学 / 統計数理 |
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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Report
(6 results)
Research Products
(24 results)