The progressive theory of multiple comparison procedures
| Project/Area Number |
18K11204
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Review Section |
Basic Section 60030:Statistical science-related
|
|---|
| Research Institution | Nanzan University |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2018-04-01 – 2023-03-31
|
| Project Status |
Completed (Fiscal Year 2022)
|
| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2021: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
|---|
| Keywords | 多重比較法 / 閉検定手順 / パラメトリック法 / ノンパラメトリック法 / 漸近理論 / 分散分析モデル / 同時信頼区間 / 順序制約 / 統計的多重比較法 |
|---|
| Outline of Final Research Achievements |
We proposed a single-step method and a closed test procedure as multiple comparison procedures for main effects in two-way models and multiple comparison procedures among correlation coefficients in multi-sample bivariate normal models. The proposed procedures are shown to be superior to previous multiple comparison methods. Maurer et al. (1995) proposed gatekeeping procedures based on Bonferroni's inequality. In multi-sample multivariate normal models, we proposed gatekeeping procedures based on the max value of t-statistics and based on chi-square statistics. The proposed gatekeeping procedures were superior to Maurer et al. (1995). Furthermore, nonparametric gatekeeping procedures were discussed.
|
| Academic Significance and Societal Importance of the Research Achievements |
分散分析法では，位置母数の一様性の検定がおこなわれるが，位置母数の間の違いを具体的に指摘できない。また，信頼領域であたえられるため明確な違いを指摘できない。これに対し多重比較法は，どの位置母数の間に違いがあるか指摘できる。このため，生物医学心理学などの分野で，多重比較法を教育しデータ解析に用いられている。本研究では，２元配置モデルにおける位置母数や２次元正規モデルにおける相関係数の多重比較法の解明が行われた。さらにこれまでのゲートキーピング法を優越する手法が提案できた。本研究で提案された手法は，多くのデータ解析に適用できる。
|
Report
(6 results)
Research Products
(10 results)
