Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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An implementation of sample size and power calculations in testing differences of normal means

정규 모집단의 모평균 차이 검정에서 표본크기와 검정력 계산의 구현

  • Sim, Songyong (Department of Finance & Information Statistics, Hallym University) ;
  • Choi, Kyuhyeok (Department of Finance & Information Statistics, Hallym University)
  • 심송용 (한림대학교 금융정보통계학과) ;
  • 최규혁 (한림대학교 금융정보통계학과)
  • Received : 2013.03.05
  • Accepted : 2013.04.24
  • Published : 2013.05.31
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Abstract

In this paper, we consider the sample sizes required for each group in independent two sample test of normal populations when both the type I error and type II error probabilities are specified with sample sizes and variances being possibly different. We derived the sample sizes and the power of the tests, and implement them by web programing. The result is available over the world wide web. Further, we also provide the power calculations and have them available on the web.

임상시험 등 다양한 분야를 중심으로 제1종 오류확률과 검정력을 함께 고려하여 표본크기를 결정하는 경우가 늘어나고 있다. 이런 경향은 표본을 많이 얻을 수 없는 연구에서 더욱 뚜렷하다. 본 연구에서는 독립인 두 개의 정규모집단에서 두 그룹의 분산과 표본수가 같지 않을 때의 모평균 차이에 대한 검정에서 제1종 오류와 제2종 오류를 모두 고려한 경우 두 그룹의 필요한 표본크기를 결정하는 과정을 살펴보고 이를 웹사이트를 통해 구현하였다. 또한 주어진 표본크기와 유의수준에 의한 검정력 계산도 함께 구현하였다.

Keywords

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