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A minimum combination t-test method for testing differences in population means based on a group of samples of size one

크기가 1인 표본들로 구성된 집단에 기반한 모평균의 차이를 검정하기 위한 최소 조합 t-검정 방법

  • Heo, Miyoung (Department of Applied statistics, Chung-Ang University) ;
  • Lim, Changwon (Department of Applied statistics, Chung-Ang University)
  • 허미영 (중앙대학교 응용통계학과) ;
  • 임창원 (중앙대학교 응용통계학과)
  • Received : 2017.02.24
  • Accepted : 2017.02.26
  • Published : 2017.04.30

Abstract

It is often possible to test for differences in population means when two or more samples are extracted from each N population. However, it is not possible to test for the mean difference if one sample is extracted from each population since a sample mean does not exist. But, by dividing a group of samples extracted one by one into two groups and generating a sample mean, we can identify a heterogeneity that may exist within the group by comparing the differences of the groups' mean. Therefore, we propose a minimum combination t-test method that can test the mean difference by the number of combinations that can be divided into two groups. In this paper, we proposed a method to test differences between means to check heterogeneity in a group of extracted samples. We verified the performance of the method by simulation study and obtained the results through real data analysis.

Acknowledgement

Supported by : Chung-Ang University

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