Research on construction and application of test of mean difference for two groups based on block resampling

• Project/Area Number: 21700301
• Research Category: Grant-in-Aid for Young Scientists (B)
• Allocation Type: Single-year Grants
• Research Field: Statistical science
• Research Institution: The National Center for University Entrance Examinations (2010-2011); Hokkaido University (2009)
• Principal Investigator: SAKURAI Hirohito 独立行政法人大学入試センター, 研究開発部, 准教授 (00333625)
• Project Period (FY): 2009 – 2011
• Project Status: Completed (Fiscal Year 2011)
• Budget Amount: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000); Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
• Keywords: 計算機集約的統計 / ブートストラップ法 / circular block bootstrap法 / stationary bootstrap法 / 2曲線の比較 / ブロック・リサンプリング法 / stationary bootstrap / 有意差検定

Research Abstract

This research aims at construction of new testing methods for detecting the difference of two means when the populations of two group are unknown and each group has some correlation structure, and at application of the proposed methods to real data analysis. As important results of this research, we have developed some testing methods which are superior to traditional methods in power when sample sizes are relatively small.

Research Products

• [Journal Article] Test of mean difference for paired longitudinal data using stationary bootstrap (2011)
  • Author(s): Sakurai, H. and Taguri, M.
  • Journal Title: Program Book of Joint Meeting of the 2011 Taipei International Statistical Symposium and 7th Conference of the Asian Regional Section of the IASC Volume: 184
• [Journal Article] Test of mean difference for paired longitudinal data using stationary bootstrap (2011)
  • Author(s): Sakurai, H.
  • Journal Title: Program Book of Joint Meeting of the 2011 Taipei International Statistical Symposium and 7th Conference of the Asian Regional Section of the IASC Pages: 184-184
• [Journal Article] Test of mean difference for longitudinal data using circular block bootstrap (2010)
  • Author(s): Sakurai, H. and Taguri, M.
  • Journal Title: COMPSTAT2010 Proceedings in Computational Statistics Pages: 1581-1588
  • Peer Reviewed
• [Journal Article] Test of mean difference for longitudinal data using circular block bootstrap (2010)
  • Author(s): Sakurai, H., Taguri, M.
  • Journal Title: COMPSTAT2010 Proceedings in Computational Statistics Pages: 1581-1588
  • Peer Reviewed
• [Journal Article] Test of mean difference for longitudinal data using circular block bootstrap (2010)
  • Author(s): Sakurai, H., Taguri, M.
  • Journal Title: COMPSTAT2010 Proceedings in Computational Statistics (印刷中)
  • Peer Reviewed
• [Presentation] Test of mean difference for paired longitudinal data using stationary bootstrap (2011)
  • Author(s): Sakurai, H.
  • Organizer: Joint Meeting of the 2011 Taipei International Statistical Symposium and 7th Conference of the Asian Regional Section of the IASC
  • Place of Presentation: Academia Sinica, Taipei, Taiwan
  • Year and Date: 2011-12-18
• [Presentation] Test of mean difference for longitudinal data using circular block bootstrap (2010)
  • Author(s): Sakurai, H.
  • Organizer: COMPSTAT2010, 19th International Conference on Computational Statistics
  • Place of Presentation: Conservatoire National des Arts et des Metiers(CNAM), Paris, France
  • Year and Date: 2010-08-23
• [Presentation] Test of mean difference for longitudinal data using circular block bootstrap (2010)
  • Author(s): Sakurai, H.
  • Organizer: COMPSTAT2010, 19th International Conference on Computational Statistics
  • Place of Presentation: Conservatoire National des Arts et des Metiers (CNAM), Paris, France
  • Year and Date: 2010-08-23
• [Book] ブートストラップ入門 (2011)
  • Author(s): 汪金芳,桜井裕仁
  • Total Pages: 248
  • Publisher: 共立出版
• [Book] ブートストラップ入門 (2011)
  • Author(s): 汪金芳, 桜井裕仁
  • Total Pages: 248
  • Publisher: 共立出版