A comparison of group sequential methods in clinical trials

임상실험에서 그룹축차방법들의 비교

  • 서의훈 (경남 전주시 가좌동 900번지 경상대학교 통계학과 교수, 정보통신연구센터) ;
  • 안성진 (경남 전주시 가좌동 900번지 경상대학교 통계학과 교수, 정보통신연구센터) ;
  • 임동훈 (경남 전주시 가좌동 900번지 경상대학교 통계학과 교수, 정보통신연구센터)
  • Published : 1997.09.01

Abstract

In this paper, we derive an approximate optimal Bayes group sequential design for a given loss function. We use the Monte-Carlo method to compare the ASN(average sample size) function and Bayes risk of approximate optimal Bayes group sequential design, Pocock design and O'Brien and Fleming design. Also introduced is the concept of Bayes efficiency and percentage loss of information due to grouping for the group sequential design and use it to measure the loss of information for different group sizes.

본 논문에서는 주어진 손실함수에 대한 근사최적베이즈축차실험방법을 유도한다. 근사최적베이즈축차실험방법을 Pocock 실험방법, O'Brien and Fleming 실험방법과 ASN(average sample size) 함수와 베이즈 위험면에서 비교하기 위하여 몬테칼로(Monte-Carlo) 방법을 사용한다. 그룹축차실험방법에서 그룹 때문에 빚어지는 정보의 손실비율과 베이즈효율의 개념을 소개하고 여러 가지 다른 그룹 크기에 따른 정보의 손실을 측정한다.

Keywords

References

  1. Journal of American Statistical Association v.58 Sequential medical trials Anscombe, F. J.
  2. Ann. Math.Statist. v.36 Sequential tests for the mean of a normal distribution Ⅳ(discrete case) Chernoff, H.
  3. SIAM Sequential analysis and optimal design Chernoff, H.
  4. Biometrika v.68 Sequential medical trials involving Paired data Chernoff, H.;Petkau, A. J.
  5. SIAM Journal on Scientific and Statical Computing v.7 Numerical methods for bayes sequential decision problems Chernoff, H.;Petkau, A. J.
  6. Sequential Analysis v.14 no.4 Optimal two-sided group sequential tests Eales, J. D.;Jennison, C.
  7. Biometrics v.70 Discrete sequential boundaries for clinical trials Lan, K. K. G.;DeMets, D.
  8. Journal of the American Statistical Association v.89 Group sequential clinical trials: A classical evaluation of bayesian decision-theoretic design Lewis, R. J.;Berry, D. A.
  9. Technical Report #96-2, Dept. of Statistics, SUNY at Buffalo A Note On Group Sequential Medical Trials Mallik, A.;Shuma, C.
  10. The Annals of Statistics v.12 no.3 Bounds for the bayes risk for testing sequentially the sign of the drift parameter of a wiener process Mallik, A.;Yao, Y. C.
  11. Biometrics v.35 A multiple testing procedure for clinical trials O'Brien, P.C.;Fleming, T. R.
  12. Biometrika v.64 Group sequential methods in the design and analysis of clinical trials Pocock, S. J.
  13. Biometrics v.35 Allocation of Patients to treatment in clinical trials Pocock, S. J.
  14. Sequential Analysis: Tests and Confidence Intervals Siegmund, D.
  15. The Design and Analysis of Sequential Clinical Trials Whitehead, J.