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: ¥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.

Research Products

• [Journal Article] Multiple comparison procedures for Poisson parameters in multi-sample models (2012)
  • Author(s): 白石高章
  • Journal Title: Behaviormetrika Volume: Vol.32、No.2(掲載予定)
  • NAID: 10030867263
  • Peer Reviewed
• [Journal Article] Multiple comparison procedures for Poisson parameters in multi-sample models (2012)
  • Author(s): T.Shiraishi
  • Journal Title: Behaviormetrika Volume: 39
  • NAID: 10030867263
  • Peer Reviewed
• [Journal Article] 多群2項モデルにおける逆正弦変換による多重比較検定法 (2011)
  • Author(s): 白石高章
  • Journal Title: 応用統計学 Volume: 40巻 Pages: 1-17
  • NAID: 10028209407
  • Peer Reviewed
• [Journal Article] 多群モデルにおけるすべての平均相違に関する閉検定手順 (2011)
  • Author(s): 白石高章
  • Journal Title: 計量生物学 Volume: 32巻 Pages: 33-47
  • NAID: 10029531708
  • Peer Reviewed
• [Journal Article] 多群2項モデルにおける逆正弦変換による多重比較検定法 (2011)
  • Author(s): 白石高章
  • Journal Title: 応用統計学 40巻
  • NAID: 10028209407
  • Peer Reviewed
• [Journal Article] 多群モデルにおけるすべての平均相違に関する閉検定手順 (2011)
  • Author(s): 白石高章
  • Journal Title: 計量生物学 32巻
  • NAID: 10029531708
  • Peer Reviewed
• [Journal Article] Multiple comparisons based on studentized M-statisticsin a randomized block design (2011)
  • Author(s): T. Shiraishi
  • Journal Title: Commun.Statist., SerA 39巻 Pages: 1563-1573
  • Peer Reviewed
• [Journal Article] Multiple comparisons based on studentized M-statistics in a randomized block design (2010)
  • Author(s): 白石高章
  • Journal Title: Commun. Statist. SerA Volume: 39巻 Pages: 1563-1573
  • Peer Reviewed
• [Journal Article] Multiple comparisons based on studentized M-statistics in a randomized block design (2010)
  • Author(s): T.Shiraishi
  • Journal Title: Commun.Statist., SerA Volume: VOL.39 Pages: 1563-1573
  • Peer Reviewed
• [Journal Article] Exploratory procedures after searching the underlying distribution in multi-sample models (2009)
  • Author(s): 白石高章
  • Journal Title: International J. Statistical Sciences Volume: 9巻 Pages: 233-253
  • Peer Reviewed
• [Journal Article] 多群2項モデルにおける対数変換による同時信頼区間 (2009)
  • Author(s): 白石高章
  • Journal Title: 応用統計学 Volume: 38巻 Pages: 131-150
  • NAID: 10026049065
  • Peer Reviewed
• [Journal Article] 多群2項モデルにおける対数変換による同時信頼区間 (2009)
  • Author(s): 白石高章
  • Journal Title: 応用統計学 38巻 Pages: 131-150
  • NAID: 10026049065
  • Peer Reviewed
• [Journal Article] Exploratory procedures after searching the underlying distribution (2009)
  • Author(s): 白石高章
  • Journal Title: International J.Statistical Sciences 9 Pages: 233-253
  • Peer Reviewed
• [Journal Article] 多群2項モデルにおける対数変換による同時信頼区間 (2009)
  • Author(s): 白石高章
  • Journal Title: 応用統計学会 研究論文 38 Pages: 131-150
  • NAID: 10026049065
  • Peer Reviewed
• [Journal Article] 多群モデルにおけるウィルコクソンの順位和に基づくノンパラメトリック同時信頼区間 (2008)
  • Author(s): 白石高章
  • Journal Title: 応用統計学 Volume: 37巻 Pages: 125-150
  • NAID: 10024748999
  • Peer Reviewed
• [Journal Article] 多群モデルにおけるウィルコクソンの順位和に基づくノンパラメトリック同時信頼区間 (2008)
  • Author(s): 白石高章
  • Journal Title: 応用統計学 37巻 Pages: 125-150
  • NAID: 10024748999
  • Peer Reviewed
• [Journal Article] 多群モデルにおけるウィルコクソンの順位和に基づくノンパラメトリツク同時信頼区間 (2008)
  • Author(s): 白石高章
  • Journal Title: 応用統計学会 研究論文 37 Pages: 125-150
  • Peer Reviewed
• [Presentation] 平均母数に順序制約がある場合の閉検定手順 (2012)
  • Author(s): 白石高章
  • Organizer: 日本数学会年会
  • Place of Presentation: 東京理科大学神楽坂キャンパス
  • Year and Date: 2012-03-28
• [Presentation] 平均母数に順序制約がある場合の閉検定手順 (2012)
  • Author(s): 白石高章
  • Organizer: 日本数学会
  • Place of Presentation: 東京理科大学
  • Year and Date: 2012-03-28
• [Book] 多群連続モデルにおける多重比較法 (2011)
  • Author(s): 白石高章
  • Total Pages: 253
  • Publisher: 共立出版
• [Book] 多群連続モデルにおける多重比較法(南山大学学術叢書) (2011)
  • Author(s): 白石高章
  • Total Pages: 253
  • Publisher: 共立出版株式会社
• [Remarks]
  • URL: http://www.seto.nanzan-u.ac.jp/~marble/
• [Remarks]
  • URL: http://www.seto.nanzan-u.ac.jp/~marble/
• [Remarks]
  • URL: http://www.seto.nanzan-u.ac.jp/~marble/