Journal of the Korean Data and Information Science Society

The Korean Data and Information Science Society (한국데이터정보과학회)
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Sample size comparison for two independent populations

독립인 두 모집단 설계에서의 표본수 비교

  • Ko, Hae-Won (Department of Biostatistics, The Catholic University of Korea) ;
  • Kim, Dong-Jae (Department of Biostatistics, The Catholic University of Korea)
  • 고해원 (가톨릭대학교 의학통계학교실) ;
  • 김동재 (가톨릭대학교 의학통계학교실)
  • Received : 2010.10.01
  • Accepted : 2010.11.23
  • Published : 2010.11.30
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Abstract

For clinical trials, it is common to compare the placebo and new drug. The method of calculating a sample size for two independent populations are the t-test that is used for parametric methods, and the Wilcoxon rank-sum test that is used in the non-parametric methods. In this paper, we propose a method that is using Kim's (1994) statistic power based on the linear placement statistic, which was proposed by Orban and Wolfe (1982). We also compare the sample size for the proposed method with that for using Wang et al. (2003)'s sample size formula which is based on Wilcoxon rank-sum test, and with that of t-test for parametric methods.

임상시험을 시행하는 경우 위약을 신약과 비교하는 경우가 대다수이다. 기존에 독립인 두 모 집단의 표본수를 계산하는 방법으로 모수적 방법에서는 t검정을 이용하였고, 비모수적 방법에서는 Wilcoxon 순위합검정 (Wilcoxon, 1945)을 이용하였다. 본 논문에서는 Orban과 Wolfe (1982)가 제안한 선형위치통계량의 검정법과, Kim (1994)이 선형위치통계량에 기초하여 계산한 검정력의 결과를 이용하여 표본수 구하는 방법을 제안한다. 또한 앞서 제안한 방법의 표본수를 기존의 Wilcoxon 순위합검정을 이용하여 Wang 등 (2003)이 제안한 공식을 이용한 표본수, 그리고 모수적 방법을 이용한 t검정의 표본수와 비교하였다.

Keywords

References

  1. Kim, D. (1994). A comparison of distribution-free two-sample procedures based on placements or ranks. Journal of the Korean Statistical Society, 23, 135-149.
  2. Kim, D-W. and Kim, D. (2007). Sample size comparison for non-inferiority trials. Journal of Korean Data & Information Science Society, 18, 411-418.
  3. Orban, J. and Wolfe, D. A. (1982). A class of distribution-free two-sample tests based on placements. Journals of the American Statistical Association, 77, 666-671. https://doi.org/10.2307/2287734
  4. Simonoff, J. S., Hochberg, Y. and Reiser, B. (1986). Alternative estimation procedures for Pr(X https://doi.org/10.2307/2530703
  5. Wang, H., Chen, B. and Chew, S. C. (2003). Sample size calculation in clinical research, Marcel Dekker, INC., New York.
  6. Wilcoxon, F. (1945). Individual comparison by ranking methods. Biometrics, 1, 80-83. https://doi.org/10.2307/3001968