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

2014 Fiscal Year Final Research Report

• 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
• Keywords: block resampling / moving block bootstrap / circular block bootstrap / stationary bootstrap

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.

Free Research Field

統計科学