Developments and applications for comparing the means of two groups using block resampling

• Project/Area Number: 15K00065
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Statistical science
• Research Institution: The National Center for University Entrance Examinations
• 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)
• Co-Investigator(Kenkyū-buntansha): 汪 金芳 千葉大学, 大学院理学研究院, 教授 (10270414)
• Research Collaborator: TAGURI Masaaki
• Project Period (FY): 2015-04-01 – 2018-03-31
• Project Status: Completed (Fiscal Year 2017)
• Budget Amount: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000); Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000); Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000); Fiscal Year 2015: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
• Keywords: block resampling / moving block bootstrap / circular block bootstrap / stationary bootstrap / ブロック・リサンプリング法 / ブートストラップ法 / 平均の有意差検定

Outline of Final Research Achievements

We considered statistical hypothesis testing methods for detecting the difference of two means when the population distributions of two samples are unknown and each sample is observed as longitudinal data. Our research showed that some block resampling methods are applicable to the problem for comparison of two means, and that the testing methods using block resampling methods are superior to a traditional method in power even when sample sizes are relatively small.

Research Products

• [Journal Article] Test of mean difference in longitudinal data based on block resampling approaches (2016)
  • Author(s): Sakurai, H. and Taguri, M.
  • Journal Title: Proceedings of COMPSTAT 2016 Volume: － Pages: 205-215
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Comparison of block bootstrap testing methods of mean difference for longitudinal data (2016)
  • Author(s): Sakurai, H. and Taguri, M.
  • Journal Title: Proceedings of the 60th World Statistics Congress of the International Statistical Institute, ISI2015 Volume: 1
• [Presentation] Comparison of tests of mean difference in longitudinal data based on block resampling methods (2017)
  • Author(s): Sakurai, H. and Taguri, M.
  • Organizer: IASC-ARS/NZSA 2017: Joint Meeting of 10th Asian Regional Section (ARS) of the International Association for Statistical Computing (IASC) and the NZ Statistical Association (NZSA)
  • Int'l Joint Research / Invited
• [Presentation] Test of mean difference in longitudinal data based on block resampling approaches (2016)
  • Author(s): Sakurai, H. and Taguri, M.
  • Organizer: COMPSTAT 2016, 22nd International Conference on Computational Statistics
  • Place of Presentation: Oviedo (Spain)
  • Year and Date: 2016-08-24
  • Int'l Joint Research
• [Presentation] Comparison of block bootstrap testing methods of mean difference for longitudinal data (2015)
  • Author(s): Sakurai, H. and Taguri, M.
  • Organizer: International Statistical Institute, The 60th World Statistics Congress
  • Place of Presentation: Riocentro, Rio de Janeiro, Brazil
  • Year and Date: 2015-07-31
• [Book] 時系列分析ハンドブック (2016)
  • Author(s): 北川源四郎，田中勝人，川崎能典（監訳），桜井裕仁，他22名翻訳
  • Total Pages: 788
  • Publisher: 朝倉書店