New developments and applications for comparing the means of two groups based on block resampling

• Project/Area Number: 24500357
• 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): TAGURI Masaaki 中央大学, 理工学部, 客員教授 (10009607) ; WANG Jinfang 千葉大学, 大学院理学研究科, 教授 (10270414)
• Project Period (FY): 2012-04-01 – 2015-03-31
• Project Status: Completed (Fiscal Year 2014)
• Budget Amount: ¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000); Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000); Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000); Fiscal Year 2012: ¥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 / stationary bootstrap法

Outline of Final Research Achievements

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

Research Products

• [Journal Article] Comparison of block bootstrap testing methods of mean difference for paired longitudinal data (2014)
  • Author(s): Sakurai, H. and Taguri, M.
  • Journal Title: Proceedings of COMPSTAT 2014 Volume: 1 Pages: 309-317
  • Peer Reviewed
• [Journal Article] Testing methods of mean difference for longitudinal data based on stationary bootstrap (2013)
  • Author(s): Sakurai, H. and Taguri, M.
  • Journal Title: Proceedings of the 59th World Statistics Congress of the International Statistical Institute, 2013 Volume: 1 Pages: 5303-5308
• [Journal Article] Test of mean difference for longitudinal data using stationary bootstrap (2012)
  • Author(s): Sakurai, H. and Taguri, M.
  • Journal Title: COMPSTAT 2012 Book of Abstracts: 20th International Conference on Computational Statistics Volume: 20 Pages: 44-44
• [Presentation] Comparison of block bootstrap testing methods of mean difference for paired longitudinal data (2014)
  • Author(s): Sakurai, H. and Taguri, M.
  • Organizer: COMPSTAT 2014, 21st International Conference on Computational Statistics
  • Place of Presentation: The International Conference Centre of Geneva, Geneva, Switzerland
  • Year and Date: 2014-08-20
• [Presentation] Testing methods of mean difference for longitudinal data based on stationary bootstrap
  • Author(s): Sakurai, H. and Taguri, M.
  • Organizer: International Statistical Institute, The 59th World Statistics Congress
  • Place of Presentation: Hong Kong Convention and Exhibition Centre, Hong Kong, China
• [Presentation] Test of mean difference for longitudinal data using stationary bootstrap
  • Author(s): Sakurai, H.
  • Organizer: COMPSTAT 2012, 20th International Conference on Computational Statistics
  • Place of Presentation: Amathus Beach Hotel, Limassol, Cyprus