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An implementation of the sample size and the power for testing mean and proportion

평균과 비율 검정에서 표본 크기와 검정력 계산의 구현

  • Lee, Chang-Sun (Department of Finance Information Statistics, Hallym University) ;
  • Kang, Hee-Mo (Department of Finance Information Statistics, Hallym University) ;
  • Sim, Song-Yong (Department of Finance Information Statistics, Hallym University)
  • 이창선 (한림대학교 금융정보통계학과) ;
  • 강희모 (한림대학교 금융정보통계학과) ;
  • 심송용 (한림대학교 금융정보통계학과)
  • Received : 2011.11.22
  • Accepted : 2011.12.26
  • Published : 2012.01.31

Abstract

There are cases when the sample size is determined based not only on the significance level but also on on the power or type II error. In this paper, we implemented the sample size and the power calculation when both the significance level and power for testing means in normal distributions and proportions in binomial distributions. The implementation is available on a web site. Alternately, we also calculate the power for a given effect size, type I error probability and sample size.

많은 조사에서 표본 크기는 유의수준 또는 제1종 오류확률만을 고려하여 결정하였으나 최근에는 다양한 분야를 중심으로 제1종 오류확률뿐만 아니라 제2종 오류확률 또는 검정력을 함께 고려하여 표본 크기를 결정하는 경우가 늘어나고 있다. 이런 경향은 표본을 많이 얻을 수 없는 연구에서 더욱 뚜렸하다. 본 연구에서는 모평균과 모비율에 대한 검정에서 제1종 오류뿐만 아닌 제2종 오류를 고려한 경우 필요한 표본 크기를 결정하는 과정을 살펴보고 이를 웹사이트를 통해 공개하였다. 또한 주어진 표본 크기와 유의수준에 의한 검정력 계산도 함께 공개하였다.

Keywords

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